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HEADQUARTERS U. S. ARMY WEAPONS COMMAND
ROCK ISLAND, ILLINOIS 61201
•fi.S. ARJVfp.
D D C
JUN 1Z 136 9
U~E:
bwti-TO is MAY 1969
Reproduced by the C L E A R I N G H O U S E
AUTOMATED LIFE CYCLE COST MODELS
FOR
ARMY WEAPON SYSTEMS
PREPARED BY
FREDERICK M. CHAKOUR
HEADQUARTERS, U. S. ARMY WEAPONS COMMAND ROCK ISLAND, ILLINOIS COST ANALYSIS OFFICE
CPD 69-11
MAY 1969
AUTOMATED LIFE CYCLE COST MODELS FOR ARMY WEAPON SYSTEMS
By F. M. Chakour Chief, Cost Analysis Office U. S. Army Weapons Command Rock Island, Illinois
Table of Contents
Introduction SECTION I
WECOM Combat Vehicle Life Cycle Cost Model (For TATAWS III Study) SECTION II
MBT Secondary Armament Life Cycle Cost Model (For MBT Secondary Armament Study) SECTION III
Tank Life Cycle Cost Model (For TATAWS II Study) SECTION IV
Improved Life Cycle Cost Model for Small Arms Weapon Systems (For SAWS Study) SECTION V
Simplified Life Cycle Cost Model for Small Arms Weapon Systems (For SAWS Study) SECTION VI
SECTION I
INTRODUCTION
Introduction
The U. S. Army Weapons Command Is continually required to conduct
weapon system cost studies Involving the determination of life cycle
costs for several alternative courses of action. These alternatives
may consist of several weapon systems, one weapon system with several
quantities and/or time frames, or a combination of several weapons
any many quantities and time frames per system.
In order to conduct such comprehensive cost studies efficiently
and thoroughly, the Army Weapons Command, since 1965, has been
developing and employing in its cost studies, various automated
models and techniques.
This report is a compilation of five automated cost models
which are presented in the reverse order of their development.
The WECOM Combat Vehicle Life Cycle Cost Model is presented
first since It is the most highly developed and most flexible of the
five. This model, which was developed in late 1968 for the TATAWS III
Study, develops costs according to the three usual cost categories of
Development, Investment, and Operating as well as according to the
Budget Program categories of the Army Fiscal Code. The model consists
of some 100 equations and approximately 110 elements or sets of input
data, schedules and cost factors. The computer program is written
in Fortran IV for the IBM 360/65 computer.
The second model presented is that employed in the MBT Secondary
Armament Study during September of 1967. This model, which is also
written in Fortran, consists of approximately 65 equations requiring
about 110 elements of input data, cost factors and schedules. A
distinguishing feature of this model, which develops costs according
to the Army Fiscal Code Budget Program elements. Is that it illustrates
one approach to the life cycle costing of ammunition simultaneously
with the weapon costing.
The tank cost model developed for the TATAWS II Study in early
1967 is the third methodology presented. Like the MBT Secondary
Armament Model, it develops costs according to Budget Program
categories only. The computer program is written in Fortran and
the model consists of 22 equations with 45 elements of input data,
factors and schedules.
The last two models presented pertain to the life cycle costing
of small arms weapons (i.e., rifles, machine guns and grenade
launchers) together with their ammunition. These were developed
and employed in conjunction with a comprehensive Small Arms Weapons
Systems Study conducted during 1965 and 1966 called the SAWS.
The first of these two models presented (i.e., model number
four in this report) is the more sophisticated of the two in that
it develops costs by year rather than developing total costs for a
multi-year time frame as is done in the last model presented in
this report. Model number four also contains a cost sensitivity
sub-routine which Is not contained in any of the other models.
This sub-routine is based upon partial differentiation of the total
cost equations.
Each of the SAWS models consists of approximately four or five
equations which simultaneously develop costs for systems (weapon and
ammunition) being phased in as well as those being phased out of the
army inventory.
Each of the five methodologies consists of the mathematical
model and nomenclature. Some include samples of computer printouts,
input data, resultant costs, derivations of pertinent relationships
as well as some of the Fortran computer programs employed and other
explanatory material.
Questions pertaining to these models and/or their use may be
directed to the author at the U. S. Army Weapons Command, Rock
Island, Illinois 61201 - (AMSWE-CPD).
SECTION II
WECOM COMBAT VEHICLE LIFE CYCLE COST MODEL
(FOR TATAWS III)
WECOM COMBAT VEHICLE LIFE CYCLE COST MODEL
(For TATAWS III Study)
1. This model Is presented In six sections as follows:
A. Cost Model Flow Chart and Cost Model.
B. List of data names and definitions of factors, data and schedules which are Inputs to equations (I.e., appearing on right side of cost equations).
C. Listing of definitions of data names appearing on left side of equations.
D. TATAWS III Chart of Accounts (annotated with cost model equation numbers and input data names).
E. Listing of all data names in sequence consistent with the TATAWS III Chart of Accounts.
F. Computer Printouts of FORTRAN Program and Costs.
2. Section A is the mathematical cost model and consists of
some 90 equations and FORTRAN statements in the correct order re-
quired for computer computation. The last page of this section
contains an explanation of the FORTRAN "IF Statement" which is used
throughout the model to permit automatic decision-making on the part
o f the computer. These statements are used to decide whether or not
to provide for the provisioning of Army Stock Fund and Selected Repair
Parts as well as to overcome certain mathematical difficulties, such
as division by zero or preventing the generation of undesireable
negative numbers. Otherwise, the model is straightforward and simply
consists of equations for the computation of cost elements as they
appear in the Chart of Accounts sequence.
3. The contents of Sections B and C are self-explanatory. The
Section B listing isolates, defines, and highlights all the elements
of Information required as input to the model, while Section C
defines each of the cost elements computed with cost equations.
4. Sections 0 and E serve to explain the relationship between
the elements of the mathematical model and the TATAWS III Chart of
Accounts. It is also intended that Section E (or a portion of it)
will serve as the computer output format for the presentation of
cost details which will serve as WECOM backup of the results
summarized on the six forms required by ACSFOR.
5. Section F contains computer printouts of the PORTRAM
program, listings of input and output data as well as printouts of
three of the cost summary forms designed specifically for this study.
SECTION A
COST MODEL FLOW CHART
AND
EQUATIONS FOR TATAWS III
(In Correct Computational Order)
r'
WECOM COMBA" LIFE CYCLE CO
FOR TAT/
r~ IDEV
■^RDTE
TOTAL COST ■ —
niNv
-PEMAÜ
-fPBS~[
-HDW
JAPE
-FAC
ifm
-M
-TANKC
-|TANKFAB|= (TANKPKY)
Y= AX^-
X =
L TANKOTH
{TOT ■ TOOLINIT
(TANKP)(B + I)
(FfTANKP-OS)18*" -(F-OS)*6*11
'/B
LTOOLMAINT (FIKTANKFAB)
{ENG
■ OA
froC> (F2) (PAGES)
■ CONTOTH
{SgMFBKCONCOSTI
{WÖFiT]=(F9)(GA+C0NC0ST)
CONC0STMF3)(TANKFAB)+(F4)(TO0Ü + (F5)(ENG)
♦ (F6I(0A) + (F7)(D0C)+C0NT0TH
.TRAINIC=(TRAINIU)(TRAINIP)
TRAIN2C|=(TRAIN2U) (TRAIN2P)
I- SPEOUIP
LfSRPJP" TANKING =■ TANKP
TANKA
IF TANKING» 0.25
SRPIP = .045 TANKC
IF TANKING < 0.25
SRPIP= 0 0
SRPIP l-FOTH = (TANKD)(FI0)+(TRAINID)(FII)+(TRAIN2D)(FI2) + :i::-::- (FI4) ' (FI3)
-OMAH
-BP2IOOn
-BP2IAIT
iBP2IAITM|=(FBP2IAITM)(TOEINC)(FI5)
FI5 = I- INHERMA
(TOEINCHTOEMP)
INHERMA= (l-MTR) r(M480UT)(M48MP) + (M6001JT1(M60MP1
1 mOPER
PEMAIH
-OMAnr
-|SRPR| = (DIN
, . (SI {FDTffl=-
-BP2IOOni
BP2000m
-BP2IMAII
ECOM COMBAT VEHICLE IFE CYCLE COST MODEL
FOR TATAWSm
/
'/B
mOPER
-PEMAm
-fSRPRl'(DINUSE)(FI7)
. . (SRPR)(FI4)
•-eLl'-iFijr-
H-OMAm
BPZOOOm |= (FI8) [lTOECON)-(CONMILES) + (TOEOVS)(OVSMILES)J
-|BP2IOOin
TOTAL COST
iBP2IMAINT| = (MTR)(FBP2IAITM)(T0EC0NtT0E0VS- T(Xy$ ]
- PEMA » PEMAH + PEMAIK
■RDTE
-pP]' SRPIP + SRPR
FDT = FDTn *■ FOTIE
OMA >OMAI ♦OMAH f OMAH
-JBP200O|=BP2OO0in
-|BP2I00]'BP2I00II ♦ BP2IOOni
(GÄlMFSNCONCOST)
l|PROFIT|= (F9)(GA+ CONCOST)
CONCOST= (F3)(TANKFAB)+ (F4)(TOOL) + (F5)(EN6)
+(F6)(0A) + (F7)(D0C) tCONTOTH
-JTRAINIC[= (TRAINIU) (TRAINIP)
-|TRAIN2C|=(TRAIN2U) (TRAIN2P)
«- SPEOUIP
L SRPIP TANKING - TANKP
TANKA
IF TANKING»0.25
SRPIP = 045 TANKC
IF TANKING < 0.25
SRPIP =0.0
SRPIP l-[FDTnJ= (TANKD)(H0) + (TRAINID)(FII)+(TRAIN2D)(FI2) + -—- (FI4)
HOMAI -OMAÜ
'-MPAI
X ;y
•fBP2IOOn
HBP2IAITNET I
-fep22oon)
BP2IAIT
iBP2IAITMHFBP2IAITM)(T0EINC)(FI5) INHERMA FI5 = I-
(T0EINC)(T0EMP)
INHERMA = (l-MTR) [(M480UT)(M48MP) + (M600UT)(M60MP)
t(M60SHOUT)(M60SHMP)*(M55IOUT)(M55IMP)
t(M48A2C0UT)(M48A2CMP) + (M48A3OUT)(M48A3MP)]
KBP^IAITCI' (FBP2IAITC)(T0EINC)(FI6)
FI6=I-- INHERCR
(TOEINCKTOECP)
INHERCR = (l-CTR)(4)(M480UT + M600UT + M60SH0UT
+ M55IOUT + M48A2C0UT + M48A30UT)
■JBP22PR0C|= (FBP22PR0C)(MYBP22PROC)
■)BP22SUPLY~|:(FBP22SUPLY)(MYBP22SUPLY)
■(BP22MNGT! = (FBP22MNGT)(MYBP22MNGT)
BP2300n
•-MPAII
-|SflPR|
HFDTUI'
-OMAnr
-\BP2ÖÖV
-BP2IOOr
-BP2IM
-IBP2ICB
HBP2200n]
■j MPA2I n|
^MPAITM|' (FMPAITM)(T0EINC)(FI5)
^MPAITC |' (FMWITCMTOEINC) (FI6)
■I MPA22n I' (FMPA22II){MYMPA221I)
j MPA23n
■ BPzzm
- BP22SM,
BP22MA
BP22IPF
- BP22SD(
-fsöTl
-{mioom - BP23REB
- BP23SUP
•- BP230TH
HBP2600
-MPAH
MPA20m
-MPA20MAI
LJMPA20CRE
-MPA2in
l ■|MPA2IMAl7
-|MPA2ICREi
NGOMAI
-fSRPR>(DINUSE)(FI7)
HFDT in|= 1m
-OMAHI
-|BP2000m]' (FI8) [(TOECONMCONMILESl + ITOEOVSKOVSMILES)]
-BP2IOOni
BP2IMAINT|MMTR)(FBP2IAITM)(TOECON»TOEOVS- ^—1
-|BP2ICREW| = (CTR)(FBP2IAITC)(T0EC0N ♦ TOEOVS TOEINC,
-|BP2200in
- BP22P90P = (FBP22PROC) (MYBP22PR0P)
- BP22SMA ' (FBP22SUPLY)(MYBP22SMA)
- BP22IPP
- BP22SOOP
BP22MAN N (F6P22MNGT)(MYBP22MAN)
IHSDTREB
MSDTOVS I
SOTREB =(REBILD)(FI9)
■ SOTANKS MOVSHIP)(F20)
HBP22PE
L[SDfP0WP|' (SRP)(TOEOVS) (F2I)
(FI3)(TOEOVS»TOECON)
BP2300in
HBP23REBI • (REBILD)(F22)t [(TOECON ♦ TACON) (CONMILES)
+ (TOEOVS tTAOVSHOVSMILEsO (F23)
- BP23SUP > (FBP23SUP)(MYBP23SUP)
BP230TH
i- BP2600
MPAm
-|MPA2onr
- MRA20MAINT ' (TOECON) (MAINTPACON) t (TOEOVSXMAINTMOVS)
-IMPA20CREW | > (TOECON) (CRUWCON) ♦ (TOEOVS) (CRUPAOVS)
MPA2im
-jMPA2IMAINT| • (MTR) (FMWITM) (TOECON + TOEOVS - ^^)
-|MPA2ICREWI' (CTRKFMMITC)(TOECON*TOEOVS- louMC)
*- MM22III
HWgOWA]
-{SRP]=SRPIP+SRPR
nFDT]= FDin *■ FDTHl
-fÖMÄI'OMAI +OMAn +OMAm
-|BP2000|-BP2OOOin
-BP2IOO =BP2IOOn ♦ BP2IOOin
iBP2200|= BP2200II + BP2200m
- BP2300 • BP2300H + BP2300III
6P2600
■MPA2000 =MPA20nr
- MPA « MPAI + MPAD + MPAm
MPA2I00 =MPA2in + MPA22III
^MPA2200|« MM22Q * MM22in
4MW2300|'MPA23D
HNGOMA
F. M. Chakour April 1969
^ri.uAU£:Ls.i'Pil TATAV.'S in
(In Correct Computational Order)
DKV = RDli. + MPAI + 0:-^I (1)
PBS = APE + FAC + LAYF (2)
TRAIN1C = (TKAIN'JU) (IRAIN'IP) (3)
TRAIN2C = (1KAIN2U) (TRAIN2P) (4)
IF (TANK?) 5, 5, 8
5 TANKC = 0 (5)
6 TANKU = 0 (6)
7 CO TO 20 (7)
Note 1;
The above IF statement procedure means that if TANKP is zero for any particular year, then TANKOTH (in equation 18) must also be zero for that same year. Hence, for any given year, this model does not provide for production support costs (i.e., TAh'KOTH) when there is no tank production programmed (TANKP).
Therefore, if production support costs are expected during a year in which TANKP is zero, such TANKOTH costs should be included in the following first year in which TANKP is not zero.
IF (B) 8, 9A, 8 1
X (TANKP) (B -I- 1)
(F+TANKP-0.5)(B+1) - (F- 0.5)(B+1)
B (8)
y . AXB (9) y . A (9A)
TANKFAB * (TANKP) (Y) (10)
Note 1A:
If Government Furnished Equipment (GFE) is included in "A", then any GA and Profit contained in this GFE should be subtracted from the GFE before inclusion in A. In doing this, use the same factors for GA anc Profit as are u.sed for ho and K9.
A - 1
Note IB:
If Government Furnished Equipment (CFE) contained in "TANKFAB" includes tool maintenance costs, then the basic Fl factor must be modified by multiplying by GFE Costs
( TANKFAB' ^ TOOLMAINT = (Fl) (TANKFAB) (11)
TOOL - TOOLINIT + TOOLMAINT (12)
DOC » (F2) (PAGES) (13)
CONTCOST - (F3) (TANKFAB) + (F4) (TOOL) + (F5) (ENG) +
(F6) (QA) + (F7) (DOC)+ CONTOTH (1A)
GA » (F8) (CONTCOST) (15)
PROFIT «= (F9) (CONTCOST + GA) (16)
TANKOTH - TOOL + ENG + QA + DOC + CONTOTH + GA + PROFIT (17)
TANKC - TANKFAB + TANKOTH (18)
TANKU - TANKC/TANKP (19)
20 MI ■= TANKC + TRAIN1C + TRA1N2C + SPEQUIP (20)
IF (XSRPIP) 22, 22, 21
21 SRPIP " XSRPIP (21)
GO TO 26
22 IF (TANKA) 24, 2A, 23 (22)
23 TANKING - TANKP/TANKA (23)
IF (TANKING - 0.25) 25, 2A, 2A
24 SRPIP " .045 (TANKC) (24)
GO TO 26
25 SRPIP - 0 (25)
26 HÜW «= MI + SRPIP (26)
27 FDTII •= (TMKD) (F10) + (TRAIN1D) (Fll) +
(TRAIN2D) (F12) + ^^ (F1A) (27)
Note 2;
F13 must always have a positive value greater than zero.
Note 3 - to persons using XSRPIP option:
If XSRPIP = 0 is desired for any year when TANKP/TANKA i 0.25, then an input of $1.00 or less is required for XSRPIP for that year. The idea is that a very low value for XSRPIP should be used instead of zero, since an input of zero for XSRPIP (when TANKP/TANKA 1 0.25) will result in a large positive number for SRPIP.
PEMAII «= PBS + HDW + FDTII (28)
IF (TOEING) 29, 29, 31
29 F15 - 0 (29)
30 F16 - 0 (30)
GO TO 37
Note A;
TOEING can never be a negative number. If TOE tanks are decreased, let the input TOEING - 0 for that particular year.
A -3
31 INHERMA = (1 - MTR) (M4{
INHERCR
F15 = 1 -
(MA80UT) (M48MP) + (M600UT) (M60MP) +
(M60SHOUT) (M60SHMP) + (M5510UT) (M551MP) +
(M48A2COUT) (M48A2CMP) + (M48A30UT) (M48A3MP) (31)
(1 - CTR) (4) (M480UT + M600UT + M60SHOUT +
M5510UT + H48A2COUT + M48A30UT) (32)
INHERMA (33) (TOEING) (TOEMP)
34
35
36
IF (F15) 34, 35, 35
F15 - 0
INHERCR F16 = 1 -
(TOEINC) (TOECP)
IF (F16) 36, 37, 37
F16 « 0
(34)
(35)
(36)
Note 5:
The factors TOEMP and TOECP must always be numbers which are greater than zero.
37 BP21AITM » (FBP21AITM) (TOEINC) (F15) (37)
BP21AITC - (FBP21AITC) (TOEINC) (F16) (38)
BP21AIT • BP21AITM + BP21AITC (39)
BP2100II « BP21AIT + BP21NET (40)
BP22PROC - (FBP22PROC) (MYBP22PROC) (41)
BP22SÜPLY - (FBP22SUPLY) (MYBP22SUPLY) (42)
A - 4
BP22MNGT »= (FBP2ZMNGT) (MYBP22MNGT) (A3)
BP2200II « BP22PRGC + BP22SUPLY + BP22MNGT (A4)
OMAII « BP2100II + BP2200II + BP2300II (A5)
MPAITM = (FIIPAITM) (TOEING) (F15) (46)
MPAITC = (FMPAITC) (TOEING) (F16) (A7)
MPA21II « MPAITM + MPAITG (A8)
MPA22II - (FMPA22II) (MYMPA22II) (A9)
MPAII - MPA21II + MPA22II + MPA23II (50)
INV » PEMAII + OMAII + MPAII (51)
IF (XASF) 53, 53, 52
52 ASF « XASF (52)
GO TO 56
53 IF (SRPIP-1)55, 55, 54 (53)
54 ASF - (0.105) (TANKC) (5A)~(Add)
GO TO 56
55 ASF = 0 (55)
A - 5
Note 6 - to persons using XASF option:
If it is desired to make XASF equal to zero while XSRPIP or SRPIP > 1 and while TANKC > zero, it is necessary to make XASF equal to $1.00 or less, but not zero.
Also, ASF is a non-add item and is shown only to indicate Initial Provisioning and Reprovisioning ASF requirements.
56 SRPR - (DINUSE) (F17) (56)
mm - <™*MFI«) (57)
PEMAIII - SRPR + FDTIII (58)
BP2000III - (TOEC0N) (CONMILES) + (TOEOVS) (OVSMILES) [ (F18)— (59)
BP21MAINT - (MTR) (FBP21AITM) (TOECON + TOEOVS - T0^INC) (60)
BP21CREW - (CTR) (FBP21AITC) (TOECON + TOEOVS - T0"NC) (61)
i BP2100III - BP21MAINT + BP21CREW (62)
BP22PR0P - (FBP22PR0C) (MYBP22PR0P) (63)
BP22SMA - (FBP22SUPLY) (MYBP22SMA) (64)
BP22MAN - (FBP22MNGT) (HYBP22MAN) (65)
SDTREB - (REBILD) (F19) (66)
SDTANKS - (OVSHIP) (F20) (67)
SRP - SRPIP + SRPR (68)
A - 6
IF (TOEOVS) 69, 69, 70
69 SDTPOWP « 0 (69)
GO TO 71
70 SDTPOWP - . (SRP) (TOEOVS;UF2JÜ 70 SDTPOWP - (F13) (T0E0VS + T0EC0N) (70)
71 SDTOVS - SDTANKS + SDTFÜWP (71)
SOT - SDTREB + SDTOVS (72)
BP2200III - BP22PROP + BP22PE + BP22IPP + BP22SDOP +
BP22SMA + SDT + BP22MAN (73)
j. BP23REB - (REBILD) (F22) + [(TOECON + TACON) (CONMILES) +
(TOEOVS + TAOVS) (OVSMILES)] (F23) (74)
BP23SUP - (FBP23SUP) (MYBP23SUP) (75)
BP2300III - BP23REB + BP23SUP + BP230TH (76)
_
OMAIII » BP2000III + BP2100III + BP2200III +
BP2300III + BP2600 (77)
MPA20CREW - (TOECON) (CRUPACON) + (TOEOVS) (CRUPAOVS) (78)
MPA20MAINT - (TOECON) (MAINTPACON) + (TOEOVS) (MAINTPAOVS) (79)
MPA20III - MPA20CREW + MPA20MAINT (80)
A - 7
MPA21CREW = (CTR) (FMPAITC) (TOECON + TOEOVS - TOEINCL (81) 2 '
MPA21iMAINT = (MTR) (FMPAITM) (TOECON + TOEOVS - TOEING) (82) 2
MPA21III - MPA21CREW + MPA21MAINT (83)
MPA22III - (FMPA22III) (MYMPA22III) (8A)
MPAIII - MPA20IH + MPA21III + MPA22HI (85)
OPER » PEMAIII + OMAIII + NGOMA + MPAIII (86)
FDT - FDTII + FDTIII (87)
FEMA - PEMAII + PEMAIII (88)
OMA - OMAI + OMAII + OMAIII (89)
MPA - MPAI + MPAII + MPAIII (90)
TPC - MI ' PBS + SRP + FDT (91)
TOTFM3 • RDTE + PEMA + OMA + NGOMA + MPA (92)
TOT - DEV + INV + OPER (93)
A - 8
Explanation of IF Statement for TATÄWS III Automated Model
IF Statement Number
(- 0 + are understood)
IF (TANKP) 5, 5, 8
5 TANKC - 0 (5)
6 TANKU « 0 (6)
7 GO TO 20 (7)
The above IF statement is read as follows:
1. If the term In the brackets (In this case "TANKP") represents a negative number, then go to Equation 5 and from there proceed as usual in order of equation number sequence unless (or until) directed otherwise by a statement number.
2. Also, If the term in the brackets equals zero, go to Equation S and from there proceed as indicated in paragraph 1 above.
3. If, however, the term in the brackets represents a positive number, go to Equation 8 and from there proceed as indicated in paragraph 1 above.
Accordlnsly:
If TANKP is zero:
Equation 5 says "set TANKC « 0"
Equation 6 says "set TANKU •= 0"
Equation 7 says "GO TO Equation 20 and calculate Total Major Item Hardware Costs", thus bypassing all equations concerned with production costs for tanks.
I
SECTION B
INPUT DATA AND DEFINITIONS
FOR TATAWS III MODEL
INPUT DATA ANÜ DEFINITIONS FOR TATAWS HI MODEL
Note; The following terms are listed in approximate order of appearance on right side of equations proceeding sequentially from equation 1 to 90.
Item No.
1
2
3
A
5
6
7
8
9
10
RDTE - Yearly RDT&E costs
MPAI - Yearly MPA costs for Development Phase
OMAI - Yearly O&MA costs for Development Phase
APE - Yearly costs for Advanced production Engineering
FAC - Yearly costs for production facilities
LAYF - Yearly facilities layaway costs
TRAIN1P - Production quantity of No. 1 trainers programmed yearly
TRAIN1U - Average yearly unit cost for trainer 1.
TRAIN1D - Delivery schedule for trainer 1.
TRAIN1A - Trainer 1 assets at end of each year
11 12 13 14
TRAIN2P ) TRAIN2U ) TRAIN2D )" TRAIN2A )
These data names apply to trainer 2 as the above apply to trainer 1.
15 TANKP ) 16 TANKD )■ 17 TANKA )
These apply to production, delivery and year end assets of the primary tank or vehicle under consideration.
18 AAOTANK ) 19 AA0TRAIN1 )■ 20 AA0TRAIN2 )
Army Acquisition Objectives for tank and trainers 1 and 2
B - 1
Item No.
21 SPEQUIP - Yearly costs for Special Eguipmp.tt. Ground Support Equipment, etc.
22 A - First unit mass production cost (Direct Labor, Material and Overhead)
23 B - Learning curve constant associated with slope of curve or with percentage rate of learning
24 F - Cumulative production quantity pertaining to the first unit of each year's tank production
25 TOOLINIT - Yearly Initial Tooling costs for tank production
26 ENG - Yearly Engineering costs associated with tank production
27 QA - Yearly Quality Assurance ccsts associated with tank production
28 PAGES - Yearly number of documentation panes to be developed for tank
29 CONTOTK - Other miscellaneous (yearly) tank production contractor costs
30 Fl - Factor to be applied to yearly tank fabrication costs to calculate yearly costs for maintenance of production tooling
31 F2 - Documentation costs per page
32 F3 ) Fractions of total costs for tank fabrication, 33 F4 ) tooling, engineering, quality assurance and 34 F5 ) documentation applicable to non-government production 35 F6 ) contractor, respectively. 36 F7 )
37 F8 - Factor to be applied to yearly total contractor costs to determine General and Administrative costs
38 F9 - Profit percentage factor
B - 2
Yearly thruput production costs for Initial 39 XSRPIP stockage of spare tank engines and transmissions
(Selected Repair .Parts for Initial provisioning). X designates thruput alternative.
AO F10) 41 Fill—— AveraEe unit .First Destination Transportation costs »2 F2 2'\ ^or tank» trainer 1 and trainer 2, respectively
43 F13 - Average production cost for an engine and transmission set. F13 must always have a positive value greater than zero.
44 F14 - Average First Destination Transportation cost for an engine-transmission set
F15 and F16 are calculated with cost equations within the TATAWS III Model, (i.e.. Equations 33 and 35).
45 MTR - Maintenance Personnel Turnover Rate
4 6 CTR - Crew Turnover Rate
Yearly phase-out schedules for M48 Series, M60/M60A1 and M60 Shillelagh tanks as well as for the M551 Vehicle, respectively
47 M480UT ) 48 M48A2COUT) 49 M48A30UT ) 50 M600UT ) 51 M60SHOUT ) 52 M5510UT )
53 M48MP ) 54 M48A2CMP) 55 M48A3MP ) 56 M60MP ) 57 M60SHMP ) 58 M551MP )
Average number of maintenance personnel required per tank per year for organizational, direct, and general support
59 TOEINC - Yearly Increase in TOE tanks (This must be zero or a positive value. If TOE tanks are decreased, then make TOEINC =0.)
60 TOEMP - Average number of maintenance personnel required per TOE tank per year for organizational, direct and general support. (This must always have a positive value and never be zero.)
ITEM No.
61 TOECP - Average number of crew personnel required per TOE tank. (This must always be a positive value and never be zero.)
6 2 FBP21AITM - Tank maintenance training cost factor in $/tank (i.e., CONARC OM.A costs for Advanced Individual Training)
63 FBP21AITC - Tank crew training cost factor in $/tank (i.e., CONARC OM.A costs for Advanced Individual Training
64 BP21NET - Total yearly CONARC "New Equipment Training" OM.A costs. These costs are for travel of CONARC cadre.
65 FBP22PROC ) Factors (in $/man-yr) for Procurement. 66 FBP22SUPLY) Supply and Management activities included 67 FBP22MNGT ) in BP2200.
68 MYBP22PROC ) Ef ^f ^d total annual civilian Man-Jears
69 MYBP22SUPLY)~- «^effort required for Procurement. 1^ 70 MYRP??M\'rT ^ a management activities under the Investment ; cost. phase (1#e>) para n of TATAWS in chart
of Accounts).
71 BP2300II - Yearly estimates of total costs for BP2300 activities under Investmant phase (Par II). Essentially, these costs are associated with New Equipment Training and New Materiel Introductory Briefings.
72 FMPAITM - Tank maintenance training cost factor in $/tank (i.e., CONARC MPA costs for cadre and trainees in Advanced Individual Training)
73 FMPAITC - Same as for FMPAITM above except this factor is for tank crew training in $/tank.
74 FMPA22II - Average MPA cost factor (in $/man yr) for BP22pO activities under Investment Phase II.
75 MYMPA22II - Estimated total annual Man-Years of military labor required for investment (Phase H) BP2200 activities
B - 4
Item No.
76 MPA23II - Yearly estimates of total MPA costs for BP2300 activities under Investment Phase II.. (This is essentially NET MPA costs.)
77 XASF - Annual estimates of total Army Stock fund (Initial Provisioning Parts) costs (X indicates this estimate is calculated outside the model.) Also, this is a non-add cost element.
78 F17 - Average cost of SRPR "Selected Repair Parts for Re- plenishment" per tank year. These are replenishment spare engines and transmission costs.
79 DINUSE - Annual average total of TOE + TA tanks.
80 F18 - Average cost of ASF parts and POL per tank mile
81 TOECON - TOE tanks in CONUS (yearly average)
82 TOEOVS - TOE tanks overseas (yearly average)
83 CONMILES - Average miles per tank year in CONUS.
84 OVSMILES - Average miles per tank year overseas.
85 MYBP22PR0P) Estimated total annual civilian man-years of 86 MYBP22SMA ) effort for Procurement Operations. Supply 87 MYBP22MAN ) Management and Project Management and Mid-
Command Management activities under the Operating Cost Phase (i.e., Para III of TATAWS III Chart of Accounts)
88 REBILD - Rebuild schedule for tanks. Total number of tanks scheduled for overhaul and rebuild each year.
89 OVSHIP - Total number of tanks scheduled for overseas shipment each year
90 F19 - Average cost to ship a tank to and from a maint nance depot (worldwide average)
91 F20 - Average Second Destination Transportation costs (I.e., BP2250) for overseas shipment of a tank (worldwide average)
B - 5
Item No.
92 F21 - Average Second Destination Transportation costs per powerp-ck (i.e., per engine and transmission set)
93 F22 - Average cost of tank rebuild (exclusive of rebuild of powerpack)
94 F23 - Average cost of powerpack rebuild per tank mile
95 BP22PE - Total Production Engineering costs for ASF items (BP2270.2)
96 BP22IPP - Total Industrial Preparedness Planning cost (BP2240.3)
97 BP22SDOP - Total costs for Supply Depot Operations (i.e., costs to receive, store and ship hardware - BP2220.1)
98 FBP23SUP - Average cost for civilian labor expended in maintenance support activities in dollars per man-year
99 MYBP23SUP - Average yearly number of Man Years of civilian labor effort expended In maintenance support activities
100 BP230TH - Total yearly other depot maintenance costs exclusive of rebuild (23A0) and maintenance support (23LO) (I.e., total of BP23BP - BP23K0)
101 BP2600 - Total yearly CM,A costs for Army Reserve and ROTC
102 TACON - Number of TA tanks in continental United States (yearly average)
103 TAOVS - Number of TA tanks overseas (yearly average)
104 NGOMA - Yearly estimates of total costs for Operational and Maintenance of tanks in the National Guard under the Operating Cost Phase (III) of the TATAWS III Chart of Accounts
105 CRUPACON) Average annual crew pay costs per TOE tank 106 CRUPAOVS) """ in CONUS and overseas, respectively, in
$/tank year
B - 6
Item No.
107 MAINTPACON) Average annual military labor costs for 108 MAINTPAOVS) maintenance of one TOE tank in CONUS and
overseas, respectively (exclusive of depot maintenance) in $/tank year
109 FMPA22III - Average MPA cost per man-year associated with BP2200 activities under the Operating Cost Phase III of the TATAWS III Chart of Accounts
110 MYMPA22III - Annual estimates of military man-years of effort associated with BP2200 activities under the Operating Cost Phase III of the TATAWS III Chart of Accounts
B - 7
SECTION C
DEFINITIONS OF TATAWS III
COST ELEMENT DATA NAMES
(Terms appearing on left side of equations)
DEFINITIONS OF TATAUS III COST ELEMENT DATA NAMES
(Terms appearing on left side of equations)
Note: (1) Paragraph numbers refer to TATAWS III Chart of Accounts.
(2) All costs are on an annual basis unless otherwise indicated.
(3) The word "total" means "total annual".
Equa. Cost Element No. Designation Paragraph No.
1 DEV I
2 PBS II A 1
3 TRAIN1C II A 2a (2)
4. TRAIN2C same
5. TANKC II A 2a (1)
6. TANKU For II A 2a (1)
7. (This equation bypasses equations
8. X For II A 2a (1)
9. Y
10. TANKFAB
11. TOOLMAINT
For II A 2a (1)
For II A 2a (1)
For II A 2a(4)(a)
12. TOOL IIA 2a (4) (a)
13. DOC IIA 2a (4)(d)
14. CONTCOST For IIA 2a (4) (e)
15. GA IIA 2a (4)(e)
16. PROFIT IIA 2a (4) (e)
Definitions
Total Research & Development Costs
Total Production Base Support Costs
Total Production Costs for Tank Trainer 1
Total Production Costs for Tank Trainer 2
Total Production Costs for Tanks
Average unit production costs for tanks.
8-19 if TANKP - 0.)
Learning curve midpoint of annual tank production quantity. This is the tank which has a unit cost equal to the annual average unit cost.
Unit cost of the X (or midpoint) tank
Total tank fabrication costs - (This Includes material, labor and overhead but not production support II A2a(4).
Costs for maintenance of tooling for tank production
Total tool maintenance costs for tank production
Total tank documentation costs
Total tank production contractor costs
General and Administrative overhead costs for tank production contractor
Tank production contractor's profit
C - 1
17. TANKOTH IIA 2a (4)
18. TANKC IIA 2a (1)
19. TANKU For ACSFOR Forms
20. MI IIA 2a
21. SRPIP
22. TANKA
23. TANKING
24.) 25.)
- SRPIP
26. HDW
27. FDTII
28. PEMAII
29. F15
30. F16
31. INHERMA
32. INHERCR
33.) 34.)
35.) 36.)
37
- F15
- F16
BP21AITM
IIA 2b
For ACSFOR Forms
For IIA 2b
Tank production support costs
Total tank production costs
Average unit tank production cost
Total major items hardware production costs
Selected Repair Parts for Initial Provisioning and Reprovisionlng (i.e., spare engines and transnissions)
(See next item.)
Ratio of tank production programmed quantity (TANKP) to year end tank assets (TANKA)
( See Item 21 above. )
IIA 2 Total hardware production costs
IIA 3 First Destination Transportation costs under Investment Phase
IIA Total PEMA for Investment Phase
Factor for inheritance of trained military personnel for tank main- tenance (i.e., percentage of required military maintenance personnel which must undergo CONARC advanced individual training)
(Same as Item 29 except F16 pertains to CONARC training
of Tank Crews)
For II B 1 and II C 2
For II B 1 and II B 2
Total number of tank maintenance personnel inherited from phaseout
of other tanks.
(Same as Item 31 except that this refers to tank crew personnel)
( See Item 29 above. )
( See Item 30 above. )
For II B 1 Total Initial CONARC 0M,A costs for Advanced Individual Training of tank maintenance personnel (Investment Phase)
C - 2
38. BP21A1TC (Same as 37 (B
39. BP21AIT For II B 1
40. BP2100II II B 1
Al. BP22PROC IIB 2(a)(b) 42. BP22SUPLY IIB 2(c) 43. BP22MNGT IIB 2(e)(f)
44. BP2200II IIB 2
45. OMA1I IIB
46. MPAITM For IIC 2
47.
48.
49.
53.
54.) 55.)
56.
(Same as 37 (BPalAITM) except this refers to tank crews.)
Sum of Items 37 and 38
Total initial CONARC 0M,A coses applicable to tank
)-
MPAITC
MPA21II
MPA22II
SRPIP
ASF
SRPR
Total Investment Phase BP2200 "Central Supply Activities" costs for Procurement, Supply and Management, respectively
Total Investment Phase BP2200 costs (I.e., sum of items 41, 42 and 43 above)
Total OH,A costs for Investment Phase
Total initial CONARC MPA costs for Advanced Individual Training of Tank Maintenance Personnel (both cadre and trainee costs) for Investment Phase)
(Same as for Item 46 above except pertains to tank crew.)
IIC 2
IIC 1
50. MPAII IIC
51. INV II
52. ASF IID
Total initial CONARC MPA costs for Advanced Individual Training of tank crews and maintenance personnel under Investment Phase (Sum of Items 46 and 47 above).
Total initial MPA costs (Investment Phase) associated with BP2200
activities
Total MPA costs for Investment Phase
Total Investment Costs
Total acquisition costs of initial provisioning repair parts (Army Stock Fund) for Tanks. This is a non-add item.
(See item 21 above.)
(See item 52 above.)
For III A Total production costs for replenish- ment of spare engines and transmissions (i.e.. Selected Repair Parts for Re- plenishment)
C - 3
57. FDTIII
58. PEMAIII
59. BP2000III
60. BP21MAINT
61. BP21CREW
62. BP2100III
63. 64. 65.
66.
67.
68.
69.) 70.)
BP22PROP BP22SMA BP22MAN
SDTREB
SDTANKS
SRP
- SDTPOWP
For III A
III A
III B 1
For III B 2
(Same as for replacement
III B 2
Total First Destination Transportation costs for SRPR
Total PEMA costs for Operating Phase (i.e., Phase III)
Total cost of repair parts and POL for TOE tanks
Total CONARC 0M,A costs for replace- ment training of tank maintenance personnel
Item 60 above except this cost refers to training of tank crews.)
Total BP2100 costs under Operating Phase III. (Sum of Items 60 and 61.)
Ill B 3(a) III B 3(e) III B 3(g) .(h)
For IIIB 3(f)(1)
For IIIB 3(f)(2)
Total Operating Phase (III) BP220O "Central Supply Activities" costs for Procurement, Supply and Management, respectively
Total transportation costs for tanks to and from maintenance depots, worldwide (i.e. Second Destination Transportation for rebuild and overhaul of tanks)
Total Second Destination Transporta- tion costs for shipment of tanks overseas
For ACSFOR Forms Total costs of Selected Repair Parts (spare/repair engines and transmissions) (Sura of SRPR + SRPIP)
For IIIB 3(f)(2)
71. SDTOVS IIIB 3(f)(2)
72. SOT IIIB 3(f)
73. BP2200III III B 3
Total Second Destination Transporta- tion costs for power packs (engine/ transmission set) being shipped overseas)
Sum of items 67 and 69/70 above. Total of Second Destination Transporta- tion costs for overseas shipments.
Total Second Destination Transportation costs (Sura of items 66 and 71 above)
Total Operating Phase BP2200 costs
C - 4
74. BP23REB III B 4a
75. BP23SUP III B 41
76. BP2300III III B 4
77. OMAIII III B
78. MPA20CREW For HID
79. MPA20MAINT (Same as fo to MPA cos
80. MPA20III For III D
81. MPA21CREW For III D
82.
83.
84.
85.
86.
87.
88.
MPA21MAINT
MPA21III
MPA22III
MPAIII
OPER
FDT
PEMA
Total costs for rebuild and overhaul of tanks at maintenance depots
Total maintenance support costs for tanks at depots
Total Depot Maintenance Costs (BP2300) under Phase III (Operating Costs)
Total OM,A costs under Phase III (Operating Cost)
Total MPA costs for TOE tank crews associated with BP2000 (0M,A of Operating Forces)
(Same as for Item 78 above except these costs pertain to MPA costs for tank maintenance personnel)
Total MPA costs for TOE tank crews and maintenance personnel associated with BP2000 (0M,A of Operating Forces)
Total CONARC MPA costs for replace- ment training of tank crews (costs include CONARC cadre as well as crew trainee MPA)
(Same as Item 81 above except this refers to replacement training of tank maintenance personnel)
For III D
For III D
III D
III
Vor ACSFOR Forms
For ACSFOR Forms
Total MPA costs for CONARC replace- ment training of tank crews and maintenance personnel. (Sum of Items 81 and 82 above.)
Total MPA costs associated with BP2200, Operating Phase III for tank "Central Supply Activities"
Total MPA costs associated with the Operations Phase III. (Sum of Items 80, 83 and 84 above.)
Total Operating Costs (Phase III) (Sum of items 58, 77, 85 and National
Guard 0M,A)
Total First Destination Transportation costs. (Sum of items 27 and 57.)
Total PEMA costs (Sum of Items 28 and
58.)
C - 5
89.
90.
OMA
MPA
For ACSFOR Forms
For ACSFOR Forms
Total 0M,A costs (Sum of items 45, 77 and 0M,A costs under the Development Phase I.)
Total MPA costs (Sum of items 50, 85 and MPA costs under the Development Phase I.)
91.
92.
TPC
T0TFM3
For ACSFOR Forms Total PEMA cost (yearly)
For ACSFOR Forms Total of Budget Program Cost Elements (yearly)
93. TOT For ACSFOR Forms Total of Development, Investment and Operating Costs (yearly)
C - 6
SECTION D
LIFE^CYCLE CHART OF ACCOUNTS
TATAWS III
LIFE CYCLE CHART OF ACCOLuaS
Appropriation Symbol
21X2CK40
2182010
TATAV.g III
I, RESEARCH AND DEVELOPMENT PHASF - (1)
A. RÜTT&E - (flDTE)
1. Design and Dcvclop.r.ent
2. Test and Evaluation
3. New Equipü-.ent Training
B. MILITARY PERSONNEL, ARMY- (MPAI)
1. Project Manager Staff
2. New Equipment TrainingCincludes COKARC instructor's time plus command personnel).
C. OPERATION k MAICTEKANCE ARMY- (OMAI)
1. Special Tactical Activities
2. Procurement Activities
3. Prc-Issue Engineering
II. INVESTMENT PtLASE - (51)
A. PEMA - (28)
1. Production Base Support - (2)
a. APE - (APE)
b. Provisioning of Industrial Facilities - (FAC)
c. Layaway of Industrial Facilities- (LAYF)
2182020
21X2030
Project oi AM=; Code
2050
2210.1
23L0.1
4200,^90, 4900
4200,^90, 4931
4200,Vi90, 4910
4200,^90, 4920
D - 1
Li^e Cycle Chnrt of Accls TATAW3 III (cont'd)
Appropriation Project or Symbol AM3 Code
2. Hardware - (26)
a. Kcijor Items (20) (4200,4500, (WOO
(1) Haiti weapon system, ainmo and missile (18) « (10) + (17) AAO
(2) Trainers - (3) and (4)
(3) Special equipment/ground equipment - (SPEQUIP)
W Support costs - (17)
(a) Tooling (12) - (11) + (TOOLINIT)
(b) Engineerinj; - (ENG)
(c) Quality Assurance - (QA)
(d) Documentation - (13)
(e) Other. (15) and (i6)
b. Selected Repair Parts- (21), (2A) or (25)
(1) Initial Provisioning
(2) Rcprovisioning
3. First Destination Transportation - (27)
B, Operation L Maintenance, Amy - (AS)1 2182020
1. Training Activities (40) - (37) + (38) + (BP21NET)
a. School Training
(1) Operation of Schools
(2) Equipment for Schools
(4450, 4460, (4300
2100
Life Cycle Chart of Accts TATAW3 III (cont'd)
Appropiiation Synibül
2. Central Supply Activities - (4A)
a. Procurement operations ) ) --(Al)
b. Contract Administration )
c. Supply Hanngetncnt Activities - (42)
d. Procurement Standardization- (41)
e. Project Manager - (A3)
f. Mid-Management Coumiand - (A3)
3, Depot Materiel Maint, and Support Act.- (BP2300II)
a. New Equipment Training
b. New Materiel Introductory Briefing
C. MILITARY PERSO^XL ARMY- (50) 2182010
1. Project Managers - (A9)
2. Schools (A8) - (A6) + (A7)
a. Cadre
b. Trainees (initial crews) 3. New Equipment Training - (MPA23II)
D. Army Stock Fund (memo entry only)- (52), (5A) or'(55)
1. Initial Provisioning
2. Reprovisioning
III. OPERATING PHASE - (86)
A. PEM\ - (58)
1. Selected Repair Parts - (56)
First Destination Transportation - (57)
a. Replenishment
2. Annual Service Practice Firings
B. Operation L Maintenance Army - (77)
1. Operating Forces - (59)
D - 3
21X4991,m
Project or AM3 Co^ c
2200
2210. 1
2210, 2
2230, 1 8. 2230
2270. 3
2280. 3
2280. 1
2300
23LO
23LO
0700.1
0700.1
(4300,^'(50, (4460
4200,^500
2000
Life Cycle (cont'd)
Chart of Accts TATAV.'S 111
Appropriation Project or Symbol AM3 Code
a. Repair Parts
b. POL
c. Other (common maintenance equipment)
2. Training Activities (62) ■ (60) + (61) 2100
a. Schools
(1) CadreCinstructing replacement personnel)
(2) Trainees (replacement crews)
b. Repair parts
C POL
3. Central Supply Activities - (73) 2200
a. Procurement Operations - (63) 2210.1
b. Production Engineering for ASF Items - (BP22PE) 2270.2
c. Industrial Preparedness Planning- (BP22IPP) 22W.3
d. Operation of Supply Depot Operations- (BP22SD0P) 2220.1
c. Supply Management Activities - (64) 2230
f. Transportation - (72) 2250
(1) CONTIS (in connection with rebuild) - (66)
(2) Overseas (includes port handling.ocean transportation and 0/S inland transportation for items from production. Also could include some rebuild transportation 0/S), (71) ■ (67) + (70)
g. Project Manager Offices) )—(BP22MAN)
2280.3
h. Kid-Mnnagem;nt Command ) 2280.1
A. Depot Maintenance 1 Maintenance Support - (76) 2300
a. Overhaul - (7A) 23AO
Life Cycle Chart of AccLs TATAW3 III (cont'd)
b. Progressive Maintenance) )
c. Conversion ) ) ) ) ) ) ) ) )
Appropriation Symbol
i — (BP230TH)
) ) ) ) ) ) ) )
d. Activation
e. Inactivation
f. Renovation
g. Analytical Rework
h. Modification
i. Repair
j. Inspection & Test
k. Materiel Support
1, Maintenance Support- (75)
5. Army Reserve and ROTO _ (BP2600)
C. Operation and Maintenance, National Guard - (NGOMA)
1. Training Operations
2. Logistic Support
3. Headquarters i Command Support
D. Military Personnel, Arn.y - (85)
1. Project Manager - (84)
2. Cadre (instructor's training replacerr.cnt personnel)
3. Trainees (replacctr.&nt crews and direct and maintenance personnel)
2182065
2182010
Project or AMS_Codc_
T3BÖ 23C0
23m
23KO
23 BJ
23GO
23110
2310
23JO
23tCO
23L0
2600
3710
3730
37/i0
-- (83) = (81) + (82)
D - 5
SECTION E
RECONCILIATION OF DATA NAMES TO
MATH MODEL AND CH^RT OF ACCOUNTS
RECONCILIATION OF DATA NAMLS TO MATHEMATICAL COST MODEL AND CHART OF ACCOUNTS
(TATAWS III)
Para Numbers from Chart of Accounts (Section D)
I A B C
Data Name
II
a b c
II A 2
(1) (a)
II A 2 a (2)
Equation Number Thruput
DEV 1 RDTE X MPAI X OMAI X
INV 51 PEMAII 28 PBS 2 APE x FAC X LAYF X
HDW 26 MI 20
TANKC 18 TANKFAB 10 TANK? X Y 9 A x B X X 8 F X
TRAIN1C 3 TRAIN1U X TRAIN1P X
TRAIN2C 4 TRAIN2U X TRAIN2P X
E - 1
Para Numbers from Chart of Equation Accts (Sec D) Data Name Number Thruput
II A 2 a (3) SPEQUIP X (A) TANKOTH 17
(a) TOOL 12 T00L1NIT X TOOLMAINT 11
Fl x
(b) ENG X (c) QA X
(d) DOC 13 F2 X PAGES X
(e) GA 15 F8 X CONTCOST 14
F3 X F4 X F5 X F6 X F7 X CONTOTH X
(e) PROFIT 16 F9 X
II A 2 b XSRPIP X b SRPIP 24 or 25
TANKING 23 TANKA X
A 3 FDTII 27 TANKD X TRAINID X TRAIN2D X FIG X pil X F12 X F13 X F14 X
Para Numbers from Chart of Equation Acctti (Sec D) Data Nane Number Thruput
II B OMAII 45 1 BP2100II 40
BP21NET X BP21AIT 39
BP21AITM 37 FBP21AITM X TOEING X F15 33
TOEIIP X INHERMA 31
MTR X M480UT X MA8A2COUT X MA8A30UT X M600UT X M60S110UT X M5510UT X MA8MP X M48A2CMP X MA8A3MP X M60MP X M60SHMP X M551MP X
BP21AITC 38 FBP21AITC X F16 35
TOECP X INHERCR 32
CTR X
II B 2 BP2200II AA a, b, d BP22PR0C Al
FBP22PROC X MYBP22PROC X
c BP22SUPLY A2 FBP22SUPLY X MYBP22SUPLY X
e, f BP22MNGT A3 FBP22MNGT X MYBP22MNGT X
E - 3
Para Numbers froa Chart of Equation Accts (Sec D) Data Nano Number Thruput
II B 3 BP2300II X
II C MPAII 50 1 MPA22II A9
FMPA22II X MYMPA22II X
II C 2 MPA21II 48 MPAITM 46 FMPAITM X
MPAITC 47 FMPAITC X
II C 3 MPA23II X
II D XASF X ASF 52, 54 or 55
III OPER 86 A PEMAIII 58
1 SRPR 56 DINUSE X F17 X
1 FDTIII 57 F13 X F14 X
III B OMAIII 77 1 BP20000III 59
TOECON X T0E0VS X CONMILES X OVSMILES X F18 X
III B 2 BP2100III 62 BP21MAINT 60 BP21CREW 61
Para Numbers from Chart of Equation Accts (Sec D) Data Name Number Thruput
III B 3 BP2200III 73 a BP22PROP 63
MYBP22PROP X b BP22PE X c BP22IPP X d BPSDOP X e BP22SMA 64
MYBP22SMA X
f SDT 72 SDTREB 66 REBILD X Yli X
SDTOVS 71 SDTANKS 67 OVSHIP X F20 X SDTPOWP 69 or 70 SRP 68 F21 X
g & h BP22NAN 65 MYBP22MAN X
III B A BP2300III 76 b - k BP230TH X a BP23REB 74
F22 X 1 BP23SUP 75
FBP23SUP — X MYBP23SUP X
III B 5 BP2600 X
HI c NGOMA X
III D MPAIII 85 1 MPA20III 80
MPA20CREW 78 CRUPACON X CRUPAOVS X
MPA20MAINT 79 MAINTPACON X MAINTPAOVS X
E - 5
Para Numbers from Chart of Accts (Sec D)
III D 2
III D 3
Equation Data Name Number Thruput
MPA21III 83 MPA21CREW 81 MPA21MAINT 82
MPA22III 84 FMPA22III X MyMPA22III X
END OF EQUATIONS REQUIRED FOR CHART OF ACCOUNTS
INPUTS AND EQUATIONS REQUIRED FOR ACSFOR FORMS
FDT 87 PEMA 88 DMA 89 MPA 90
TANKU 19 TRAIN1A TRAIN2A
X X
E - 6
SECTION F
COMPUTER PROGRAM
AND
COMPUTER PRINTOUTS
i li- — < a. a. Ü- — i. > C C z • u
(X r^ c J: •^ f\j
— r - 5 h- > •■ * X rr. » c ^ *- X £ •• i f<l < ■*. »-• — ■>
z r- c: o * ^H >- r-l L0 — «v » —. —i X h» m — ~< •> < »>>. — 51 C X .-4 X > » IL fX1 «. *■ It > D IN H- •■ (\J *c l-H Z X O -c F^- r- •> X » —• 1- » *. — c ^H
H- » rr r-X II t-4 II - — — w • ^ v c f\ a tl N- -1 C •■
■ » X > » c ,?. « — t — - < M« Mh X ^ t
^ -^, 1- uO Ä
rn > X
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in IM m. o •-I
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■* o -r —* F-4
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F - 16
.
SECTION III
MBT SECONDARY ARMAMENT LIFE CYCLE COST MODEL
(FOR MBT SECONDARY ARMAMENT STUDY)
mm —— 1
1. Narrative:
a. (U) The following automated cost model, which Includes costs for ammunition as well as for weapons, was developed specifically for this study by Headquarters, U. S". Army Weapons Command In cooperation with personnel from the U. S. Army Ammunition Procurement and Supply Agency, a subordinate installation of the U. S. Army Munitions Command.
b. (U) The model consists of a series of 66 cost equations presented in paragraph 2 below. Paragraph 3 presents the nomenclature of the 66 data names appearing on the left side of these equations.
c. (U) In addition, the cost equations utilize a set of 106 items of information, or basic data, to calculate RDT&E, PENA, 0&M,A, and MPA costs for each year. The data names for these 1C6 itans are listed under paragraph 4 below and a word description for each is presented with the listing.
d. (U) The listings presented in paragraphs 3 and 4 below are identical to the listings of data in two of the computer output formats presented for each of the fifteen (15) cases in Section V of this report.
2.
Equation No.
(1)
(2)
(3)
(4)
(5)
(6)
Cost Equations!
TOTBAL
TOTTRA
TOTBLA
TOTAP
TOTPEN
SHBAL
(BALTOECON)(TA) -f (BALTOEUR) (TB) + (BALTACON) (TC) + (BALTAEUR) (TD) + (BALW)(TE)
(TRATOECON)(TA) + (TRATOEUR)(TB) + (TRATACON)(TC) + (TRATEAUR) (TD) + (TRAW) (TE)
(BLATOECON)(TA) + (BLATOEUR)(TB) + (BLATACON)(TC) + (BLATAEUR) (TD) + (BLAW)(TE)
(APTOECON) (TA) + (APTOEUR)(TB)+ (APTACON)(TC) + (APTAEUR) (TD) + (APW)(TE)
(PENTOECON)(TA) + (PENTOEUR)(TB) + (PENTACON)(TC) + (PENTAEUR) (TD) + (PENW)(TE)
TOTBAL - (BALW)(TE)
II-l
_!.
No.
(7) SHTRA
(8) SHBLA
(9) SHAP
(10) SHPEN
(11) STEAL
(12) STTRA
(13) STBLA
(1A) STAP
(15) STPEN
TOTTRA - (TRAW)(TE)
TOTBLA - (BLAW)(TE)
TOTAP - (APW)(TE)
TOTPEN - (PENW)(TE)
(BALW)(TE) + (F11)(SHBAL)
(TRAW)(TE) + (Fll)(SHTRA)
(BLAW)(TE) + (Fll) (SHBLA)
(APW)(TE) + (Fll)(SHAP)
(PENW)(TE) + (Fll)(SHPEN)
Where TA, TB, TC, ID, and TE are defined as follows:
TOECOND TA - TOECON +
TB - TOEUR +
TC - TACON +
TD - TAEUR +
3 TOEURD
3 TACOND
3 TAEURD
3
TE - TOECOND + TOEURD
(16) GUNI - (GUNIU)(GUNIP)
(17) GUNS - (GUNSU)(GUNSP)
(18) MTI - (MTIU)(MTIP)
(19) MTS - (MTSU)(MTSP)
(20) FDTI - (GUNIP)(Fll)
(21) FDTS - (GUNSP)(F1S)
II-2
i ^
Equation Mo.
(22)
(23)
(24)
(25)
(26)
(27)
F2I
F3I
F4I
F5I
F6I
PAMMI
(28) WAMMI
(29) IPAMMI
(30) BP20MIP
(31) BP20MAR
(32) BP20M
(33) dP20WIP
(34) BP20WAR
(35) BP20W
(36) BP2000
(37) BP21MIP
(38) BP21MAR
(39) BP21M
(40) BP21WIP
(41) BP21WAR
- (BALT0ECON) (BALUP) + (TRATOECON) (TRAUP) + (BLATOECON)(BLAUP) + (APTOECON)(APUP) + (PENTOECON)(PENUP)
- (BALTACON) (BALUP) + (TRATACON) (TRAUP) + (BLATACON)(BLAUP) + (APTACON)(APUP) + (PENTAGON)(PENUP)
- (BALTOEUR) (BALUP) + (TRATOEUR) (TRAUP) + (BLATOEUR)(BLAUP) + (APTOEUR)(APUP) + (PENTOEUR)(PENUP)
- (BALTAEUR) (BALUP) + (TRATAEUR) (TRAUP) + (BLATAEUR)(BLAUP) + (APTAEUR)(APUP) + (PENTAEUR)(PENUP)
" (BALW) (BALUW) + (TRAW) (TRAUW) + (BLAW) (BLAUW) + (APW)(APUW) + (PENW) (PENUW)
- (ATOECON) (F2I) + (ATACON)(F3I) + (ATOEUR) (F4I) + (ATAEUR)(F5I)
- (ATOECOND + ATOEURD) (F6I)
- [ (ATOECOND) (F2I) + (ATACOND) (F3I) + (ATOEURD) (F4I) + (ATAEURD)(F5I)] (1/3)
- (TOECOND + TOEURD)(F10)
- (TOECON + TOEUR)(F9)
- BP20MIP + BP20MAR
- (TOECOND + TOEURD)(F8)
- (TOECON + TOEUR)(F7)
■ BP20WIP + BP20WAR
- BP20W + BP20M
- (TACOND + TAEURD)(F10)
- (TACON + TAEUR)(F9)
- BP21MIP + IP21MAR
- (TACOND + TAEURD)(F8)
- (TACON + TAEUR)(F7)
II-3
• u
■"■■
Equation No.
(42)
(A3)
(A4)
(A5)
(A6)
(A7)
(A8)
(A9)
(50)
(51)
(52)
(53)
(5A)
(55)
(56)
(57)
(58)
(59)
(60)
(61)
(62)
(63)
(6A)
(65)
(66)
BP21W
BP2100
BP22AR
BP22ASH
BP22AST
BP22A
BP2200
BP22AREB
BP23A
BP23WREB
BP23W
BP2300
MPA
RDI
RDS
RDTE
PEMAWI
AMMI
PEMAAI
PEMAI
PEMAWS
PEMAS
PEMA
DMA
TOTALS
BP21WIP + BP21WAR
BP21W + BP21M
(TOTBAL) (FRBAL) + (TOTTRA) (FRTRA) + (TOTBLA) (FRBLA) + (TOTAP)(FRAP) + (TOTPEN)(FRPEN)
(SHBAL)(FSHBAL) + (SHTRA)(FSHTRA) + (SHBLA) (FSHBLA) + (SHAP)(FSHAP) + (SHPEN)(FSHPEN)
(STBAL) (FSTBAL) + (STTRA)(FSTTRA) + (STBLA)(FSTBLA) + (STAP)(FSTAP) + (STPEN)(FSTPEN)
BP22AR + BP22AST + BP22ASH + BP22AOTH
BP22W + BP22A
[(BALW)(FMBAL) + (TRAW) (FMTRA) -I- (BLAW) (FMBLA) -I- (APW)(FMAP) + (PENW) (FMPEN) ] (STOECOND + STOEURD)
BP23AREB -I- BP23AOTH
(REBILD)(F12)
BP23WREB + BP23WOTH
BP23W + BP23A
(DINUSE)(F13)
RDWI + RDMI + RDAI
RDUS -I- ROMS + RDAS
RDI + RDS
PBSWI + GUNI + FDTI
PAMMI + WAMMI + IPAMMI
PBSAI + AMMI
PEMAWI + MTI + PEMAAI
PBSWS + GUNS + FDTS
PEMAWS + MTS + PBSAS
PEMAI + PEMAS
BP2000 + BP2100 + BP2200 + BP2300
RDTE + PEMA + OMA + MPA
!
II-4
J 1
3. Nomenclature for Data Names on Left Side of Cost Equations;
Note: Many of the data names used In the cost equations begin or end with a sequence of two or three letters used to designate each of the five different types of ammunition. These sequences of letters and the types of cartridges to which they refer are as follows:
j BAL - Refers to "Ball" or HEIT ammunition
TRA - Refers to "Tracer" ammunition
(In this study, tracer ammunition is not considered as a separate type of cartridge but is included in the cost of other types, assuming a A to 1 ratio in belted ammunition.)
BLA - Refers to "Blank" or "Practice" ammunition
AP - Refers to "Armor Piercing" ammunition
PEN - Refers to ammunition
Equation Data Definition ^!— S^S- (Yearly Costs or Quantities)
1 TOTBAL) 2 TOTTRA) 3 TOTBLA) — Quantities of ammunition procured 4 TOTAP ) 5 TOTPEN)
6 SHBAL) 7 SHTRA) 8 SHBLA) — Quantities of ammunition shipped 9 SHAP )
10 SHPEN)
11 STBAL) 12 STTRA) 13 STBLA) — Quantities of ammunition stored 14 STAP ) 15 STPEN)
16 GUNI Program cost for production of basic (interim)weapons
II-5
1
Equation Data Definition
~— ^^ (Yearly Costs or Quantities)
17 GUNS Same as above for successor weapons
18 MTI Program costs for production of Interim system mounts and associated equipment hardware peculiar to interim system. These include installation and FDT costs, if any.
19 MTS Same as above for successor system. This also Includes labor and overhead costs for retrofit to the successor system.
20 FDTI First Destination Transportation costs for production quantity of interim weapons.
Same as above for successor weapons
Average cost of ammunition expended per interim weapon on TOE tanks in CONUS during peacetime training.
Same as above for interim weapons on TA tanks in CONUS
Same as above for interim weapons on TOE tanks in Europe
Same as above for interim weapons on TA tanks in Europe
Average cost of ammunition expended per interim weapon on TOE tanks during wartime for war reserve time frame
Program cost for production of peacetime training ammunition for the interim weapon system
Program cost for production of war reserve ammunition for the interim system
Program cost for production of initial provisioning ammunition for the interim system
Initial provisioning parts costs for interim mount on TOE tanks
Annual replenishment parts costs for interim mounts on all TOE tanks (for lower four echelons of maintenance)
21 FDTS
22 F2I
23 F3I
24 F4I
25 F5I
26 F6I
27 PAMMI
28 WAMMI
29 IPAMMI
30 BP20MIP
31 BP20MAR
II-6
Equation No.
Data Name
32 BP20M
33 BP20WIP
34 BP20WAR
35 BP20W
36 BP2000
37 38 39 40 41 42 43
BP21MIP) BP21MAR) BP21M ) BP21WIP) BP21UAR) BP21W ) BP2100 )
44 45 46 47 48
BP22AR BP22ASH BP22AST BP22A BP2200
49 BP23AREB
50
51
52
53
BP23A
BP23UREB
BP23W
BP2300
Definition (Yearly Costs or Quantities)
Cost for parts to maintain the Interim gun mounts on TOE tanks for the four lower echelons of maintenance
Initial provisioning parts costs for Interim weapons on TOE tanks
Annual replenishment parts costs for Interim weapons on all TOE tanks (for lower four echelons of maintenance)
Cost for parts to maintain the Interim guns on TOE tanks for the lower four echelons of maintenance
Cost of parts to maintain the Interim systems (guns and mounts) on TOE tanks for the four lower echelons of maintenance
Same as the corresponding BP20— data names - shown above except that these refer to maintenance
parts ccsts for Interim guns and mounts on TA tanks rather than TOE tanks
Costs to "receive" ammunition Costs to "ship" ammunition Costs to "store" ammunition Central Supply costs for ammunition Central Supply costs for Interim weapon system (I.e., procurement and supply activities)
Costs for reconditioning and maintenance of ammunition in storage
Costs for Depot Maintenance and maintenance support activities
Rebuild cost for weapon system
Costs for Depot Maintenance and maintenance support activities for the interim weapon system (exclusive of ammunition)
Costs for Depot Maintenance and maintenance support activities for the complete interim weapon system
II-7
Equation No.
54
Data Name
MPA
55 RDI
56 RDS
57 RDTE
58 PEMAWI
59 AMMI
60 PEMAAI
61 PEMAI
62 PEMAWS
63 PEMAS
6A PEMA
65 OMA
66 TOTALS
Definition (Yearly Costs or Quantities)
Military Personnel costs for fifeld and organizational maintenance (i.e., four lower echelons) of the interim weapon system on TOE and TA tanks
Total RDTE costs for the interim system
Total RDTE costs for the successor system
Total RDTE costs (yearly)
Total PEMA costs for interim weapon
Total program cost for production of interim ammunition
Total PEMA cost for interim ammunition
Total PEMA cost for interim system
Total PEMA cost for successor weapon
Total PEMA cost for successor system
Total PEMA costs (yearly)
Total OMA costs (yearly)
Totals of all costs (yearly)
Data em Name
1 RDWI
2 RDWS
3 RDMI
A RDMS
5 RDAI
6 RDAS
7 PBSWI
Input Data Names and Definitions:
Definition
Yearly program RDTE costs for Interim weapon
Same as above for successor weapon
Same as above for interim mount
Same as above for successor mount
Same as above for interim ammunition
Same as above for successor ammunition
Yearly program Production Base Support costs for interim weapon (Includes PBS costs for interim mount)
11-8
Data tern Name
8 PBSWS
9 PBSAI
10 PBSAS
11 GUNIU
12 GUNSU
13 MTIU
14 MTSU
15 FIX
16 F1S
17 F7
18 F8
19 F9
20 F10
21 BP22W
22 BP23W0TH
23 F12
2A F13
25 26 27
28 29
BALÜP) TRAÜP) BLAÜP) - APÜP ) PENÜP)
Definition
Same as above for successor weapon
Same as above for interim ammunition
Same as above for successor ammunition
Yearly average unit production cost of interim weapon
Same as above for successor weapon
Same as above for interim mount
Same as above for successor mount
Average First Destination Transportation cost per interim weapon
Same as above for successor '.eapon
Average yearly cost of annual replenishment parts for one interim weapon (for four lower echelons of maintenance)
Average yearly cost of initial provisioning parts for one interim weapon
Same as for F7 but for one interim mount
Same as for F8 but for one interim mount
Yearly central supply costs for the interim weapon system exclusive of ammunition
Yearly BP2300 costs, exclusive of rebuild, for interim weapon system
Average cost to overhaul, rebuild and modify (if necessary) one interim weapon
Average yearly military labor maintenance costs per weapon system, for the four lower echelons of maintenance
Average unit cartridge costs for peacetime training
II-9
Data Item Name
30 BALUW) 31 TRAUW) 32 BLAUW) - 33 APUW ) 34 PENUW)
35 BP22AOTH
36 BP23AOTH
37 FRBAL) 38 FRTRA) 39 FRBLA) - A0 FRAP ) 41 FRPEN)
42 FSTBAL) 43 FSTTRA) 44 FSTBLA) 45 FSTAP ) 46 FSTPEN)
47 FSHBAL) 48 FSHTRA) 49 FSHBLA) 50 FSHAP ) 51 FSHPEN)
52 FMBAL) 53 FMTRA) 54 FMBLA) ■ 55 FMAP ) 56 FMPEN)
57
58
59
Definition
- Average unit cartridge costs for war reserve
Yearly BP2200 "other" costs for ammunition (i.e., miscellaneous procurement and supply costs not considered elsewhere)
Yearly BP2300 "other" costs for ammunition not considered elsewhere
— Cost to "receive" one cartridge of ammunition
— Cost to "store" one cartridge of ammunition
— Cost to "ship" one cartridge of ammunition
Fll
GUNIP
GUNSP
Cost to "maintain" in storage one cartridge of ammunition
Fraction of all ammunition, other than war reserve ammunition, which is to be "stored" previous to shipment for Army use
Yearly program production quantity of interim weapon
Same as above for successor
11-10
Data tern Name
60 MTIP
61 MTSP
62 TOECON
63 TACON
64 TOEUR
65 TAEUR
66 REBILD
67 DINUSE
68 TOECOND) 69 TACOND ) 70 TOEURD ) 71 TAEURD )
72 BALW) 73 TRAW) 74 BLAW) 75 APW ) 76 PEW)
77 BALTOECON) 78 BALTOEUR ) 79 BALTACOW ) 80 BALTAEUR )
81 TRATOECON) 82 TRATOEUR ) 83 TRATACON ) 84 TRATAEUR )
85 BLATOECON) 86 BLATOEUR ) 87 BLATACÖN ) 88 BLATEAUR )
89 APTOECON) 90 APTOEUR ) 91 APTACON ) 92 APTAEUR )
Definition
Yearly program production quantity of interim mount
Same as above for successor
Average quantity of TOE tanks in CONUS
Average quantity of TA tanks in CONUS
Average quantity of TOE tanks in Europe
Average quantity of TA tanks in Europe
Quantity of interim weapons to be rebuilt and modified at maintenance depots
Average yearly total of in-use-density tanks (i.e., to sum of TOE and TA tanks in the field)
Yearly deliveries of tanks as described in items 62-65 above
Wartime ammunition usage rates (Rounds per weapon per war reserve time frame - i.e., 3 months)
Peacetime training usage rates for "ball" or "HEIT" ammunition for TOE and TA tanks in CONUS and Europe
- Same as above for "tracer" ammunition
- Same as above for "blank" ammunition
- Same as above for "AP" (armor piercing) ammunition
11-11
Data Item Name
93 PENTOECON) 9A PENTOEUR ) 95 PENTAGON ) 96 PENTAEUR )
97 ATOECON ) 98 ATACON ) 99 ATOEUR )
100 ATAEUR ) 101 ATOECOND) 102 AIACOND ) 103 ATOEURD ) 104 ATAEURD )
105 STOECOND
106 STOEURD
Definition
Same as above for the ammunition
Same as items 62-65 and items 68-71, except that the quantities are moved back one year (This is to permit ammunition production costs to be programmed one year prior to production.)
Yearly cumulative quantities of TOE tanks delivered to CONUS
Yearly cumulative quantities of TOE tanks delivered to EUROPE
5. Flow Chart of Cost Modell
For clarification, a pictorial presentation of the cost model is illustrated on the next page. This flow chart illustrates the inter- relationships among the 106 inputs and 66 equations and the manner in which each of these contributes to the total cost shown at the top of ehe chart.
11-12
MBT SECO
IRDT&El pr.MAl
[RDWII
[RDAII
IRDWSI
IRDMSI
IRDASI
IPHMASI
IM5BH HPEMAWSl
IGUNIJ fGUNIU)(GUNIP)
IFDTI| (GUNIP)(F1I)
mm* tmm IMTIJ
(MTIU)(MTIP)
■{PE^ÄI I
| BP2000 |
fnUNSU)(GUNSP)
IFPTS] (G11NSP)(F1S)
IBP20WIPI (TOECOND + TOKlIRn)(F8)
4BP20WARI (TOKCON + TOi:UR)(F7)
HBP20MI
{BP^öMTP) (TOECOND + TOEURD)(F10)
IMTSJ (MTSII)(MTSP)
iqgiPK^a (TOECON + TOEUR)(F9)
ma (AT0EC0N){F2I) (ATAC0N)(F3I) (AT0EUR)(F4I) (ATAEUR)(F5I)
[WAMMIl ^ÄTOECOND
tvwm + ATOEURD)(F6T)
i (AT0EC0ND)(F2ljst (ATACOND)(F3I) (AT0EURÜ)(FAI)
>(ATAEURD)(F5I)/
1/3
FACTOR LIT,END
Fl = AVG. FIRST DEST. TRANS. COST PER WEAPON F2 = AVG. YEARLY COST OF AMMO EXPENDED OK TOE
(BALT0EC0N)(UALIJP) + (TRATOECON) (TRA'T) 4 (APTOECON)(APUP) + (PENTOECON)(PENUP)
F3 = SAME AS F2 EXCEPT ON TA TANKS, F4 = SAME AS F2 EXCEPT IN EUROPE. F5 " SAME AS F2 EXCEPT TA TANKS IN EUROPE. F6 = AVG. COST OF AMMO FOR TOE TANKS FOR WAR R
(BALW)(BALUW) + (TRAW) (TRAUW) + (BLAW)(I1L, (APW)(APUW)
F7 » AVG. YEARLY COST OF REPLENISHMENT PARTS Fl F8 « AVG. YEARLY COST OF INITIAL PROVISIONING F9 » SAME AS F7 EXCEPT FOR ONE MOUNT AND ASSOC
F10 •= SAME AS F8 EXCEPT FOR ONE Fll - FRACTION OF PEACETIME AND
BEFORE SHIPPING. F12 « AVG. COST TO OVERHAUL AND F13 - AVG. YEARLY MILITARY LABOR
MOUNT AND ASSOC INITIAL PROVISI
REBUILD ONE WEA MAINTENANCE CO
MBT SECONDARY ARMAMENT COST STUDY METHODOLOGY C TOTAL COST
O&MA I
T z |ttP2100|
OKURn)(F8)
EUR)(F7)
'OI'URn)(F10)
IEUR)(F9)
IBP21WIPI
m*m
mm (TACOND + TAEURb)(F8)
4BP21WARI (TACON + TAEUR)(F7)
IS I3P22ARI
iBP2lMl
'JBP21MIP^ (TACOND + TAEURD)(F10)
4BP21MARJ (TACON + TAEUR)(F9)
hOK LKGEND
j(TOTBAL)(FRBAL)| TOTBAL (ÜALTOECON)(TOECON
+ (BALTOEUR)(TOEUR + (BALTACON)(TACON + (BALTAEUR)(TAEUR
TOECOND/3) TOEURO/3) TACOND/3) TAEURD/3)
+ (BALW)(TOECOND + TOEURD)
| (TOTTRA) (FRTRA)i TOTTRA = (fRATOECON)(TOECON
+ (TRATOEUR)(TOEUR + (TRATACON)(TACON + (TRATAEUR)(TAEUR + (TRAW)(TOECOND + TOEURD)
+ + +
TOECOND/3) TOEURD/3) TACOND/3) TAEURD/3)
^TOTELA) (FRBLA)| TOffeLA « (bLATOECON) (TOECON + TOECOND/3)
COST PER WEAPON EXPENDED ON TOE TANKS IN CONUS DURING PEACETIME
^TOECON)(TRAUP) + (BLATOECON)(BLAUP) + [)ECON)(PENlIP) TANKS. )PE. (S IN EUROPE. E TANKS FOR WAR RESERVE. RAUW) + (BLAW)(BLAUW) + (PENW)(PENUW) +
ENISHMENT PARTS FOR ONE BASIC WEAPON. IAL PROVISIONING PARTS FOR ONE BASIC WEAPON. E MOUNT AND ASSOCIATED EQUIPMENT. E MOUNT AND ASSOCIATED EQUIPMENT. D INITIAL PROVISIONING AMMO WHICH IS STORED
D REBUILD ONE WEAPON. OR MAINTENANCE COST PER WEAPON.
|(TOTAP)(FRAP)|
+ (BLATOEUR)(TOEUR + (BLATACON)(TACON + (BEATAEUR)(TAEUR + (BLAW)(TOECOND +
+ TOEURD/3) + TACOND/3) + TAEURD/3) TOEURD)
TOTAP = TÄPTOECON) (TOECON + (APTOEUR)(TOEUR + (APTACON)(TACON + (APTAEUR)(TAEUR + (APW)(TOECOND + TOEURD)
+ + + +
TOECOND/3) TOEURD/3) TACOND/3) TAEURD/3)
■i(TOTPEN)(FRPEN)| TOTPEN = (PENTOECON)(TOECON + TOECOND/3)
+ (PENTOEUR)(TOEUR + TOEURD/3) + (PENTAGON)(TACON + TACOND/3) + (PENTAEUR)(TAEUR + TAEURD/3) + (PENW)(TOECOND + TOEURD)
IBP22AST|
mmsm STBAL ■ (I
+ SI
msmm STTRA (1
+ SI
[SBSIXCi STBLA
STAP
( + SI
(A +
^mmtm STPEN
+ S
v
HODOLOGY
mwm
CON + T0EC0ND/3) IEUR + TOEURD/3) ICON + TACOND/3) iEUR + TAEURD/3) ID + TOEURD)
{CON + TOECOND/3) >EUR + TOEURD/3) ICON + TACOND/3) EUR + TAEURD/3) + TOEURD)
ECOK )EUR ^CON kEUR HD +
+ TOECOND/3) + TOEURD/3) + TACOND/3) + TAEURD/3) TOEURD)
CON PUR CON EUR D +
+ TOECOND/3) + TOEURD/3) + TACOND/3) + TAEURD/3) TOEURD)
1 IBP2300I
MPA^
(DINUSE)(F13)
ECON + TOECOND/3) PR + TOEURD/3) DN + TACOND/3) UR + TAEURD/3) + TOEURD)
X |BP22AST|
h(STÜAL)(FSTDAL)| | STBAL - (BALW)(TOECOND + TOEURD)
+ (F11)(SHBAL) SHBAL » (TOTBAL)- (BALW)
X (TOECOND + TOEURD)
h(STTRA)(FSTTRA)l I STTRA - (TRAW)(' TOECOND + TOEURD)
+ (F11)(SHTRA) SHTRA » (TOTTRA) - (TRAW)
X(TOECOND + TOEURD)
KSTBLAHFSTBLA)! STBLA - (BLAWm TOECOND + TOEURD)
+ (FllHSIIBLA) SHBLA - (TOTBLA) - (BLAW)
X(TOECOND + TOEURD)
mm mmnm
(REBILD)(F12)
GEBUBHD
mmm
*
'(BALW)(FMBAL)^ (TRAW)(FMTRA) (BLAW)(FMBLA) (APW)(FMAP)
UPLNW)(FMPENV
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m*jma
HBP22ASHI
j(STAP)(FSTÄP)| ^TAP irrbm TOECOND + TOEURD)
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X(TOECOND + TOEURD)
1 'S«33DM3i3»vH STPEN - (PENW) (TOECOND + TOEURD)
+ (Fll)(SHfEN) SHPEN - (TOTPEN) - (PENW)
X(TOECOND + TOEURD)
h(SHBAL)(FSHBAL)l | SUBAL - (TOTBAL) - (BALW)
X(TOECOND + TOEURD)
l(SHTRA)(FSHTRA)i SHTRA - (TOTTRA)
X(TOECOND
j(SHBLA)(FSHBLA)i SHBLA - (TOTBLA)
(TRAW) X(TOECOND + TOEURU)
(BLAW) X(TOECOND + TOEURD)
SHAP - (TOTAP) - (APW) X(TOECOND + TOEURD)
' renHTOirenHSB SHPEN - (TOTPEN) - (PENW)
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~c,'iooooojcoooooooooooooooinjoooinoooooo»«ooo"*oooooi,gooO'M — ooo — 0~.TOOOOOO0OOOOO*O0O0O0O0OinOOOOinOOO00OO00OOO0OOO0OOO0OO00n ooooooooeooooo — oooooooooinooooinoooooooooooooooooooooooooo
^^ooooooooooooivjooof^oooo^oooooooooooooooooooooooricooonooc' o ocoo—nwoop- m o mining — oo » o * rg m mm _< o m
■OOTO^IOOOIOOOOO'TO ■jo'-iooooooinoooOinoooooo — '-'o-a — oooooniooOM— MOO — ooooooooioooooo^or. ■Tooooooin'^ojoinoooooooooooooooooooorioooo'-' oooooooooooooo— ■aoooooooonoooomoooooooooooooooooooooooooo
OTOOOOOOOOOOOOi-gOOOKOOOO^OOOOOOOOOOOoriOOOOOOOOOOOOOOOOOOfi o oc "5 o — -■> m o o r- x o minin-t — om ^ o * IN n ■« — — in IN)
u
— . 1 1 1——
SECTION IV
TANK LIFE CYCLE COST MODEL
(FOR TATAWS II STUDY)
Cost Model for Combat Vehicles:
a. (U) The following automated cost model for combat vehicles was developed by Headqvirters, U. S. Army Weapons Command specifically for this phase of the TATAWS Study and was used to compute costs for the five classes of vehicles cited in paragraph a of Section I above. The model consists of a series of 22 cost equations presented, with nomenclature, in paragraphs b and c below. These equations utilize 45 items of in- formation, or basic data, to calculate all ROT&E, PEMA, 0&M,A, MPA and MCA costs for a given year. These 45 items are listed and defined under paragraph d below. The package of backup data, which is submitted as a supplement to this report, contains the numerical values by fiscal year (FY 68-79) for each of the 45 input data items for each of the 64 combi- nations of combat vehicle type and preferred weapon system mix in the form of computer printouts. Correspondingly, the supplementary backup data Include, also, 64 computer output listings of essential costs (incurred yearly) for each of the 64 cases by fiscal year (68-79).
TANK1C
TANK2C
TRAIN1C
TRAIN2C
SRP
SRPR
FDT
PEMA
BP2000
BP2100
BP21TANK
BP210TH
BP210THE
BP2200
SDT
BP2300
BP23REB
OMA
MPA
MPATAMK
MPAOTH
MPAOTHE
b. (U) Equations;
(TANK1P) (TANK1U)
(TANK2P) (TANK2U)
(TRAIN1P) (TRAIN1U)
(TRAIN2P) (TRAIN2U)
SPPI + SRPR
(DINUSE) (Fl)
(TANK1D + TANK2D) F2 + (TRAIN1D + TRAIN2D) F3 + (SRP/F4) F5
TANK1C + TANK2C + TRAIN1C + TRA1N2C + PBS + SRP + FDT
(TOECON) (F6) (F7) + (TOEOVS) (F6) (F8)
BP21TANK -t- BP210TH
(TACON) (F6) (F7) + (TAEUR) (F6) (F8)
BP210THC + BP210THE
SriSSj (BP210THC) (TACON)
SDT + BP220TH
(TANK1D + TANK 2D) F9 + (REBILD) (Fll)
BP23REB + BP230TH - (TOECON + TACON) (F7) (F15) + (TOEOVS + TAEUR) (FS) (F15)
(REBILD) (FIG)
BP2000 -I- BP2100 + BP2200 + BP230O
MPATANK + MPAOTH
(TOECON) (F12) + (TOEOVS) (F13)
MPAOTHC ■•- MPAOTHE
SÄ (MPAOTHC) (TACON)
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
(17)
(18)
(19)
(20)
(21)
(22)
i 1
(U) Nomenclature;
TANK1C ) TANK2C ) TRAIN1C) TRAIN2C)
SRP
SRPR
SRPI
FDT
PEMA
BP2000
BP2100
BP2000
BP2300
OMA
BP21TANK
BP210TH
BP210THC
BP210THE
SDT
BP220TH
BP23REB
BP230TH
MPA
MPATANK
MPAOTH
MPAOTHC
MPAOTHE
MCA
Yearly tank and trainer production costs
Total yearly "Selected Repair Parts" costs
"Selected Repair Parts Costs" for replenishment per tank year
Total yearly Selected Repair Parts Costs for Initial Provisioning
Total yearly costs for First Destination Transportation
Total yearly PEMA programmed costs
Total yearly BP2000 (Operating Forces) costs i.e., POL and ASF Parts)
Total yearly BP2100 (Training) costs
Total yearly BP2200 (Central Supply) costs
Total yearly BP2300 (Depot Maintenance) costs
Total yearly 0&M,A costs
Total yearly costs for ASF parts and POL for all TA tanks
Total yearly operation and maintenance costs of schools and training centers in CONUS and overseas (Europe)
Same as BP210TH but only for CONUS
Same as BP210TH but only for Europe
Total yearly second destination transportation costs
Total yearly BP2200 costs exclusive of SDT (Procurement and Supply Activities)
Total yearly tank rebuild costs
Total yearly BP2300 costs exclusive of tank rebuild costs (Maintenance Support Activities)
Total yearly Military Personnel costs
Total yearly tank crew costs
Total yearly military cadre and trainee costs for schools and training centers in CONUS and Europe
Same as for MPAOTH but only for CONUS
Same as for MPAOTH but only for Europe
Total yearly Military Construction Costs for CONARC
d. (U) Input Data (Yearly. FY 68 - FY 79) - 45 Items;
RDTE
TANK1U TANK1P TANK1D TANK1A
TANK2U) TANK2P) TANK2D) TANK2A)
TRAIN1U) TRAIN1P) TRAIN1D) TRAIN1A)
) TRAIN2U) TRAIN2P) TRAIN2D) TRAIN2A)
PBS
SRPI
DINUSE
TOECONUS
TOEOVS
TACON
TAEUR
REBILD
BP210THC
BP220TH
BP230TH
MPAOTHC
MCA
Programmed RDT&E Funds
Yearly Average Unit Cost for Tank No. 1 Production Production Quantity of No. 1 Tanks Programmed Yearly Delivery Schedule for Tank No. 1 Tank No. 1 Assets at End of Each Year
Refers to Tank No. 2 as above refers to Tank No. 1
Refer, as above, to Tank Trainers No. 1 & No. 2, respectively
Programmed Costs for Production Base Support
Programmed Costs for Selected Rapalr Parts for Initial Provisioning
In-use Density of Tanks (Total of Tanks 1 & 2)
TOE Tanks In CONUS
TOE Tanks Overseas
TA Tanks In CONUS
TA Tanks Overseas
Reblld Schedule
Costs for Operation and Maintenance of CONARC Training Centers and Schools (exclusive of operation and maintenance of TA Tanks)
BP220O Costs (Procurement and Supply Support Activities) (exclusive of second destination transportation costs)
BP2300 Costs (Depot Maintenance and Maintenance Support) (exclusive of tank rebuild costs)
Military Cadre and Trainee Costs for CONARC Schools and Training Centers (corresponding to BP210THC)
Military Construction Costs for CONARC
—————
Fl
F2
F3
F4
F5
F6
F7
F8
F9
FIO
Fll
F12
F13
F14
F15
Cost of (SRPR) "Selected Rapair Parts for Replenishment" per tank year
Average first destination transportation costs per tank
Average first destination transportation costs per trainer
Average cost of an engine/transmission set
Average first destination transportation cost for an engine/ transmission set
Average cost of ASF parts snd POL per tank mile
Average miles/tsnk year for CONUS
Average miles/tank year for overseas
Average second destination transportation costs for tanks delivered overssas
Average rebuild cost for tanks
Average second destination transportation costs for tanks to and from rebuild depot
Average yearly 4-man crew cost In CONUS
Average yearly 4-man crew cost overseas
Fraction of tanks delivered each year (TANK1D + TANK2D) which are shipped overseas
Average cost of engine and transmission rebuild per tank mllr
e. (U) All computed costs are based upon AAO's and U. S. Army world-wide combat vehicle yearly densities (PY 68 - 79) computed for each combination of vehicle type and mix. These vehicle densities, in turn, ware based upon the various small unit weapon systems mixes sub- mitted by the U. S. A. Combat Development Command after analysis of their computer combat simulation results.
f. (U) The above cost model uses the various hardware schedules (such as procurement, production, snd rebuild) as well as the various vehicle density schedules (such as TOE and TA vehicles In use by area) together with other factors and Input data listed In paragraph d above to compute yearly costs according to the twenty-two equations. The model is self-explanatory regarding the interrelationships among the various factors and schedules. The next section (i.e., Section III) is concerned with the details of the cost rationale and explanations of cost factors and cost estimating relationships used for estimating life eyrie costs for all vehicles exclusive of the MBT-70. Explanations pertaining to the MBT-70 will be presented In Section IV.
SECTION V
IMPROVED LIFE CYCLE COST MODEL FOR SMALL ARMS WEAPON SYSTEMS
(FOR SAWS STUDY)
T^
CM CM f>
s
s
o c
v|
u o
a '^s' 3 r-l >^ |
•H ^H ■>^ ■ n.
1^1-H 3
1 vO I
• 0 + a 3
"1 L_l <•> a o 3 3
o
5- i
o
B O
+
£
—l t—J-H
(A c 0
vO o N
+ r4 "1 J< U-^JM
*
I oo
ii
o
< CO
$ s 8 (9
5 S
B-l
2. Explanation and Nomenclature
(Cnv)j • Total Coat for new weapons during the J th year.
Can - Cost to acquire a new weapon.
(WP) 4 * Quantity of new weapons produced and added to Army inventory
during the J th year.
Qan " Cost to maintain a new weapon In the field for one year.
(Up)I " Quantity of new weapons produced and added to the Army
inventory during the 1 th year.
Note;
1-pertains to the year number, having started with the
first year under consideration as year 1, and number-
ing the following year consecutively.
J or k-pertain to the particular year for which costs are being
calculated with the equations (1) - (4).
(Cow)^ ■ Total costs for old (existing) weapons during the k th year.
Ckno - Cost to maintain an old weapon for one year.
Wpo - Quantity of old weapons in Army Inventory Just before phase
out is initiated.
(Cna) . • Total cost for new ammunition during the J jth year. (i.e.
Cost of ammunition for the new weapons).
Awn and Apn - Cost rate of ammunition usage for new weapons in $/half
wpn-yr for wartime and $/wpn yr respectively.
(Coa). - Total cost for old ammunition during the k th year (i.e. Cost
of ammunition for existing weapons).
Apo - Cost rate of ammunition usage for the eld (existing) weapons
during peacetime training in $/wpn-yr.
B-2
Cd and Cf ■ Respectively, new weapon and new ammunition miscellaneous
Initial Investment costs such as development and plant
facilities costs which are not Included in other weapon
or ammunition cost factors.
3. Sensitivity Analysis
It is desired to determine the effects on total costs for new weapons
(TCnw) and total costs for new ammunition (TCna) when each of the four
weapon and ammunition costs parameters are varied by a given percentage (P).
This is to be accomplished by partial differentiation of the equations re-
lating the total costs to their cost parameters. If V'pn is the total number y 1
of new weapons and £ £ Wp^ refresents the total number of weapon years J-l 1-1
under consideration for the new weapon, the total cost equations are as
follows: y J
TCnw - Can Wpn + .6 Cran ][ [ Wp1 (5) J-l 1-1
y J TCna - .8 Awn Wpn + .8 Apn J I Wpf (6)
j-l 1-1
If the normal (original) values are represented by primed letters, the
desired equations relating variation in total cost to a given percentage
variation (P) in each of the four cost parameters are as follows:
TCnw - TC'nw _ C'an „ „ - P Wpn (7)
TC'nw TC'nw
(where P is the X variation in C'an)
TCnw - TC'nw C'mn P (0.6)(TWY)n (8)
TC'nw TC'nw " " n
(where P is the 7, variation in C'mn)
B-3
MMMHMM. . P (0.8) Wpn (9)
TC*iu TC'ma
(vhcr* P la the Z variation In A'vn)
TCna - TC'na \ K P (0.8) »naj
(TWY)n (10) TC'na [TC1
(vhara P la tha X variation In A'pn)
Tha aanaltlvlty analyala flguraa on tha computar prlntouta ahovn In
Annas D aaauma
P - .01 - IX
B-4
4. COHTUTER PROGRAM
COMPUTER PROGRAM DESCRIPTION
The data read into the computer program is nested in so that the
analysis proceeds in the following order: An old weapon system is
described. A new weapons system is described and its unit cost-quantity
relationship is read in. Production schedules are specified.
This appears logically as:
Describe old weapon system #1 (2 cards)
Describe new system 11 (2 cards)
Describe cost-quantity relations (2 or 3 cards)
Describe production schedule 01 (1 card)
Describe production schedule #2 (1 card)
...
Describe production schedule #NPR0D (1 card)
Describe new system #2 (2 cards)
Describe cost-quantity relation (2 or 3 cards)
Describe production schedule #1 (1 card)
(etc.)
The indentation shows the level of nesting. The actual description of
the systems and data follows a fairly rigid format on punched cards. To
describe the old weapon system one needs two cards. The first contains
an alpha-numeric description, up to 80 characters in length, of the users*
choosing. This will be printed on each output file. The second card
contains WP0, the number of old weapons; CH0, the cost to maintain an old
weapon per year; AP0, the cost of ammo per year of peacetime per old weapon;
SYS( the number of second-level nests until the next first-level nest (i.e..
li-4-7
1 " ■ lirJllMiw..U..,i.l,.J!HL ..,l !T?^^5W5?!?
the number of new weapon systems to be considered with the old one Just
described); Q0, OM, DO, initial, final and increment quantities of weapons
to be used to construct a total cost-quantity table for the systems. The
FßRTRAi' format is 8F10.0 which means that each number has a IC-column
field and may appear anywhere within the field as long as it has its
decimal point punched.
To describe the new weapon systems, the following cards are required
for each: The first card contains an alpha-numeric description of up to
do characters of the users' choosing. The second card contains CD, the
cost of development; CURVE, the number of points on the cost-quantity
relation (usually 3 for rifles and 2 for machine guns); PR0DS, the number
of different production schedules to be considered; and FYCAR, the actual
nunber of the year which will be used to start the 1A year costing (if 1970
were given, the program would cost from 1970 thru 1983). Again, the format
is wFlü.O with the decimals punched with the data. The next cards (CURVE
of them) will each contain one point from the unit cost-quantity relation.
The numbers on the card are WPL, the quantity; CAL, the unlt-cost-to-
acquire a weapon for the quantity WPL; CIIL, the unit-cost-to-malntain a
weapon for the quantity WPL for a year; APL, the unlt-cost-of-ammo per year
of peacetime per weapon for the quantity WPL; AWL, the unlt-cost-of-ammo
per half year of wartime per weapon for the quantity WPL and CFL, the unit-
cost-to-fleld a weapon for the quantity WPL. The format is 8F10.0. The
qiumtltles are ordered in increasing WPL.
The production schedules are entered next. If there are PR0DS schedules
there will be PR0DS cards punched next. There may be as many as 8 quantities
B-4-8
entered. The first corresponds to production In the first year (FYEAR),
the second corresponds to production In the ttecond year (FYEAR + 1) and
so on up to a maximum of 8 years. (Usually four or five are all that itt
needed.) The format Is 8F10.0.
This completes level 3 nesting. The next cards would beginning
either a new second level or a first level.
Note that new weapon systems are coated starting«ith the year glvtn
by FYEAR. The old weapon system la always costed starting In 1967. This
Is set In the program, near the beginning, by the statement IFY-1967. Both
systems must be costed for the same period of time, In our study, 14 years.
That Is why variables referring to old-system quantities are subscripted
with J and new-system quantities arc subscripted with k . The conputcr
program Increments calendar years starting with IFY-1967 by one thru
FYLAR + 14. Therefore, for some given calendar year, J and k may not
necessarily take on the same values because they may be In different parts
of their respective 14-year spans. After the 14-year span for old weapon
systems Is complete, the old-system costs are no longer computed. Also
during the calendar years fron IFY to FYEAR the new weapon systems are not
costed. This Is how the two 14-year costing periods are superimposed In
the printouts.
The F0RTRAN function DDK Is a routine for performing linear Interpo-
lation of coats as a function of quantity In the cost-quantity relations.
A more sophisticated quadratic Interpolation Is also available but cannot
be used If there are only two or three points In the curve.
B-4-9
I *
Since the progron was written In F0RTRAN-II language and successfully
run on the most restrictive compiler in our experience, the RCA-301 F0RTRA::
systttn, no difficulty should be expected in implementing the program on
other systems. Copies of the source pronram are available upon request
frjr the authors. (Ihe program itself is not classified.)
D-4-10
•CDM^ILE SANS (JÜSI iMl-THODOLOGV iN (fOWTRAN 6/8/Ä6 DATE PAGE noi
C S.A.W.S. Al/TOMAlFn COST METHODOLOGY-II A.W.C.-O.R. 8 JUNE 196A
niMFNSION OLn(16).nNtW(16),HP(?!j),TCNW(25).TC0H(?5),TCNA(?5),
1 TrOA(25),WPNT(25).WPL(10),CAL(10),CML(10).APL(10)»AWL(10),
i CFL« 1Ü>,C( lO.?1») .fMPdü)
irYsl96/
PCNFsi .
JYsIFY-1
0Un;,< Hf-AD 1 .Ul ll,i*PO,CMO,APO.SVS,ClO.OM,00
OOOÜJ KüWHAT (IftAS/HnO.OJ
NSYSsSYS
nn 2 ISYs«l.^SYs
BFAO 1.ONEW.CD.CURVE»PROPS.F YFAR
NLsCUWVf-
NPMOD-PWOUS
NYPRrf vp»R
«HAD 1. (WPL( I ) .CAi. (I ),CML( 1 ).APL( I ).AWL( I ),CrL(l ), I«1,NL)
riuOU3 FÜRMA I ^ lü.ü >
I Y^WsNYPR- IKY
JPNDsNVPR- If Y» | Y
nn ?4 iPsi.NPwnn
PRIM 5.0LI),WPn,rMn,APn,CD.DNEW
rnllU« FORMAT (IH1 l6AS/lH06X9HwPO.UNITS5X10HCMÜ.$/UNrT2XlJHAPO.f/UNlT/YK
J 11x4HCD.S/lMnri«>.n,.?FJ'>.2//lH01AA5)
DO 6 Isl.2S
ninoA wp(i)=n.
iLslYPR*!
iMt]YPR«e
B-4-l
.1 .. III T^
•CnMPlU S4«S rUSI Mf-THOOOLOGV IN FÜRISAM «/8/-66 DAT6 PAGE 002
■
H^*Ü I,(rtP( 1 ). IslL .IH)
noi10 7 fn«MAi («uiü.O)
ttPN»0.
nn « isi.zs
CAN = D[)M(WHl ,r»L.«PN.ML)
I CMNrnUM(wPL.CHL.WPN.NL)
APN:nriH(MPL>APL iWPM.M»
AMN:DDM(MMl .AWL»WPM.NLl
C^sDDMJWPL.rFL.KPN.NL)
riHMfCIPisMPN
GTsO.
TrNM(IP)»0.
TrnN(IP)SO.
TCNA(lP)cO.
TrOA(IP»iO.
DSO«0.
WPIHsO.
DO » J«l . Jh-NP
riPNsMPN«HPIJ)
DO tO 1*1,J
nooin nsNsnsN^MPti >
!► (J-t)ll.ll.l^
oom? ik <j-mi.i.i3,i4
oooi? nn i» is^j
PArtT«PS-WP(i-i)
B-4-2
i
• (.HMPILF SANS rü*;T MhTHünüLOßV IM ruWTRAN 6/R/A6 DATfe PAGE 001
K (PAKT Ji'b.l'j.l'J
tinn^5 DsnsDsLi*PS
PS:U.
GO 10 n
"unjj ns(i:nsn*ps
f,n TO 19
PSsU.
innig r\wswJ(j)»CAN*.6»wPN«CMN
rows .iS«CM(i»PS
r\A=.ci«<AwN»WP(j)*»HN»WPN)
rOAs . H^APÜ'^S
If (j-1 ypw-i )iR.i/.i«
l'ÜOW CNAsCN**CfN
CMW:CNW*Cü
iiiüt^ T ;:N*( itJ) s i rvwc iP)*rNw
irnw( iP)sicow(IP)*COW
T(;NA( |P)S II'NAC IP)*CNA
TrnA( IP) = rrOA( iP>*rOA
rrPYscNA+cNw
f5TelU*T(:Mir*C0W»CnA
r( 1 ,J)sCNw
r;( ?. j) = irNw( IP)
r.i ^, J)=COH
CC4.J)sICürt(IM)
cc». j )= irNft ( IP )
B-4-3
•COMPILE SAWS rOSI MfTHODOLOGY IN FORTRAN 6/8/66 DATE PAGE 004
C(7,J)sCOA
C(8. J)* rcnA(IP)
r(9.J)alCPY
noon« c(i0.j)sRi
Tr=TCNW<IH)*TCNA(IP)
PM*CAsPCNT«CAN»«PN/TC
PMWCM:PCNT»CMN»,6»DSN/TC
PNAAU:PCNr»AWN».8*WPN/TC
PNAAPsPCNTtAPN^.W^nSN/TC
PRINT 16.MMN,rAN.CHN.*UN,APN.crN.PCNT.PNWCA.PNWCM.PNAAW.PNAAP
OUOKS fOMMAT (lH(ll?X.3HWPN12X3HCANl?X3HrHNl?X3HAWN12X3MAPN13X2HCF/lH 10X
1 ^HUNlTS9X6H|/UNIT9X6H«/UNlT4XllHJ/UN|T/YR/2AX9Mf/UNlT/VRl4XlH»/
J> lHOri^.0.t'Kl5.2//lHn6X9MPARAHFTER4X40M PER CENT CHANGE IN NEW 5V
.<SIEM rO1»! (ATr5.?,lftH PE« CENT LEVFL)/1H l?X3HCANf lb. 4/1M 12X3MCMN
1 H5.4/1M 12X3H4WNFIÜ.4/1H 12X3HAPNH5 . 4 )
PBItjT 28
nnn^ft FORMAT (IWOlOXSftMCOSTS PER YEAR B
IASPD ON PRODUCTION SCHFDULF IN MEGABUCKS/ IHO?X2HFY2X
? ?HN07X3MMPI/X^HCNWJX/MCUM CNM7XJHCOWJX/HCUM C0M7X3HCNA3X7HCUM CNA
< 7x^wrnA,^x/HruM ro*3X7wNEw SYSSXSMTOTAD
DO ?7 Jsl.jENI)
K.isjV*j
nn ?9 I»i.iu
non^'y CMRC I )sf;( i ,J)»I.E-6
)0n^7 PRINT 30,KJ.J.WP{J).CMR
nonjn FüRMAI (1HO2|4,HO.O.IOFIO.4)
oiin^« rnNTiNut
NO=(OM-UO)/DO*l.b
B-4-4
•UOMPILh SANS COST Mt-TMOnüLOGY IN FORTRAN 6/»VcS(S PATfc PARE nOb
IT (Nin^.2,20
oon^o PRINT 2l,nNtW
nun?i FORMAT (IHUftA'J/ftlHOrOST-OUANTl TY CALCULATIONS (RASED ON PREVIOUS
1 COSTS HWINlbü J/lHni2X3WWPMlX4HlCNWllX4HTCnwilX4WTCNAllX4HTC0A«X
^ /wTOT SYS/IN 1 0Xl5HUNITS5(6X9HMFr,AOlJCKS) >
'J:(JO
DO 4 I=l,NQ
CNWsnDMCrtPNT, rCNW,Q,NPROI))»l.fc-6
cuw3nnMtMP^r, rcow.Q.NPRODMi.E-b
(:NA:0nM(WPNT,TCNA,O,NPROm »1.6-0
nnAsDi|M{WPNr,TC0A,Q,NPROD)»l .6-6
TC = CNI«/*CüW*I:NA*COA
PRINT P^.O.CNrt^nw.CNA.COA,TC
flOO/? >ORM*l (]M riS.O.bFl^.S)
nn(j(1^ TONTlNUt-
r,n TO <M
tNI)
C StPAWAljON GAWP RFTWF^N PROGRAMS fQW FORTRAN COMPAT AH 1LITY
FljNCT I ON LinMtXT, YT , X .N>
IIIMENSI JN XT(inü) . Yf (10Ü )
If (N-l )1.1.?
I OHfll I'DMsV 1(1)
RF1 URN
niii.ny on A is^.N
If ( X - X I ( I ) ) 4 , 4 , T
■)iinn3 CONTjNUh
I-N
B-4-5
I ^
• U"1*MIL.(; SAwS COST MFTHOnOLOGY IN TUPTHAm ft/fl/Aft DATE PAGE 006
dun II 4 |1|)MsYT(I-] )*(YT(|).YT(I-1 ))«(X-XT(I-1))/(XT(I)-XT(I-1))
ir (nnM)5,fr,(s
imnos npMso.
nnnn*. H>.ruHN
kNI)
•l;A I A
B-4-6
NOMEMCLATURE FOR COMPUTER PRINT-OUTS
The nonwnclature for th«*c Annex D computer prlnt-outs la the eame
as given In Appendix I of Annex E except for the following:
CF • Seme aa CFM in Annex E
WPI ■ New weapon production quantities (These are Hated one
year before their production, In each Inatance)
CNW ■ Yearly Coata for new wuapona
CUM ■ Cumulative Coata
QIA • Yearly coata for ammo for new weapona
COW ■ Yearly coata for old (exlatlng) weapona
COA ■ Yeerly coata for ammo for old weapona
NEW SYS • CNW + CNA
TOTAL - Cumulative totale • (C'JM CNW) + (CUM CNA) + (CUM COW) + (CUM COA)
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i 1
SECTION VI
SIMPLIFIED LIFE CYCLE COST MODEL FOR SMALL ARMS WEAPON SYSTEMS
(FOR SAWS STUDY)
mi,r\m*—■...*.'..:iii
1
ANNEX E
Mathematical Model and Methodology for Weapon System Cost Study
1. (U) Objective. To develop a cost estimating methodology and
rasthematicril model which will provide the means to compute total program
costs and perform sensitivity analyses of the cost estimates to varia-
tions in the cost assumptions.
c. (Jj) Discussion. The cost data presented in the previous annexes
of this study are based upon certain specific values of the various para-
meoers involved which have been determined by calculation, or otherwise.,
to be the best present estimates of their true values. The most important
of these parameters are weapon quantities (W), weapon acquisition and
maintenance costs.(C and Cm), unit cartridge costs (U), peacetime train-
ing ammunition allowances (P ), wartime day-of-supply rates (D ), fit 6
worldwide weapon distributions and various time factors. Thiß annex is
concerned principally with the mathematical relationships of these
parameters to total weapon system costs (paragraph 3) and with the capa-
bility by virtue of such relationships to vary each of these parameters
as desired. Such a mathematical model permits not only a relatively
f*^ ' ' »Toss accuracy and consistency check on all total system costs
l4w<>*Ated in the previous annexes but permits also a simple and rapid
meano of calculating new total costs if it is desired to determine such
El
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coetB for parameter values which vary from those used In the main study.
These are Illustrated In paragraph k and 5 of this annex.
As illustrated also in paragraph 3, the mathematical model
pertnits an analysis of the sensitivity of total costs to variations in
the cost parameters as veil as an assessment of the significance of the
differences in total costs for various weapon systems as presented in
this study.
E2
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k. (TT) Calculation of Weapon System Costs. The equations and
data immediately preceding this section were used to calculate the
following costs for each of the same twenty different weapons
systems considered in Annex D: (all costs are for the FY67-8O
period)
a. Costs to acquire and maintain various quantities of
new weapons.
b. Total costs to supply each of these new weapon quantities
with ammunition for peacetime training and for six months of war
reserves.
c. When applicable, costs to maintain the existing weapon
system until (and in line with the degree to which) it is replaced
by the new system.
d. Total ammunition costs for existing weapons while they
still remain in the system. This also Includes six months of war
reserves.
e. Grand total costs for both new and existing weapons
and ammunition for each quantity of new weapons considered In "a."
above.
The equations and input data were programed for computer
operation. The computerized cost data inputs and outputs are pre-
BPnted in tabular form and the output cost data are presented In
graphical form in Appendix 1 for each of the twenty weapons considered.
The- computer program is presented in Appendix 2.
E8
In general, these data are In exceptionally good agreement
with the corresponding costs presented in Annex D. Some errors
have been detected In the Annex D data and have been or are being
corrected. These discrepancies were In the cost of ammunition for
existing weapons only and no errors were detected in the cost data
presented in Annex D for new weapons a ad ammunition. The omission
of six months of war reserve ammunltioi in a few of the figures
presented in Annex D account for the remaining large differences
between the two sets of costs data.
The graphical data in Appendix 1, this annex, are presented
to facilitate interpolation between data points and computerization
of the equations will facilitate the calculation of new cost data
for any variation of the parameters desired.
5. (1^) Parameter Variations and Sensitivity Analysis. Analysis
of the data shown in the table below Indicates that ammunition costs
represent more than 75^ of total system costs for total Army rifle
replacement with ffit rifle for the FY67-80 period considered
in the study. It is thus quite evident that ammunition usage rates
as well as unit cartridge costs (including packaging) are by far the
most Important of the cost parameters.
E9
CoßtB to Acquire, Maintain and Support Total Array Quantity oj- Rifles (Fy67-80 Including 6 mos War Reserves)
Description of Costs Rirameters Costs
Weapon Acquisition Wj,Ca $20^,500,000
Weapon Maintenance .6 WpC^Y 136,900,000
Ammo for War Reserve WfAv 191,710,000
Ammo for Facilities Cf 8,000,000
Ammo for Peacetime WfApY 939.180.000
TOTAL $1,480,290,000
Figure 1, which shows the sensitivity of total system cost
to variations in each of the four principal cost parameters Ap, Ay,
Ca and CJJ,, dramatically illustrates that the total cost is much more
sensitive to variations in Ap (i.e., ammunition cost for peacetime
training in $/wpn/yr) than it is to any of the other three cost
parameters. Since Ap consists essentially of the product of Pa
(i.e., peacetime training ammunition usage rate in rds/wpn/yr) and U
(unit cartridge co^t), one can say that from a total cost point of
view, these latter two cost factors are the most important.
Although the data shown in Figure 1 pertain to a specific
weapon system, the conclusions regarding the extreme importance of
certain cost parameters are quite general for any of the small arms
weapons systems considered in this study and are more particularly
true for machineguns as a result of their higher rates of ammunition
usage.
E10
SENSITIVITY OF TOTAL Ö r* RIFLE SYSTEM COST TO VARIATIONS IN COST PARAMETER VALUES
Co
-20% -15% -10% -6% 45 ♦10 *\* 420%
PERCENTAGE VARIATION IN COST PARAMETERS Co, Cm, Aw ond Ap
p - üAe-M ELI
Having arrived at the conclusion stated above, It Is now
possible to Illustrate the manner In which one might analyze the
significance of differences In total costs for the principal competing
weapon systems In relation to the uncertainties associated with the
specific values chosen for the Important cost parameters.
Figure 2 portrays the variation of total system cost as a
function of simultaneous variations In unit cartridge coste (U) and
peacetime ammunition allowance rate (Pa) for the *Aj B A/vJ)
*C. rifles. This diagram considers the maximum possible vari-
ations In U and Pa for each system to be + 20$. This, In turn,
means a maximum possible variation of + 20^ In Ay and of + M^ and
- 36^6 In Ap.
Many conclusions can be drawn from the curves shown In
Figure 2. Most Importantly, It is noted that there Is some over-
lapping of total costs of the various rifle systems. For the vari-
ations in Pa and U considered, jC\ costs vary from I.56 to 3«0
billions of dollars, whereas 3 rifle costs vary between 1.1
and 1.93 billions of dollars. These data also show that for the
particular values of P_ and U used In this study, total costs for
/] are approximately 50^ higher than for the & rifle (i.e.,
2.21 vs 1.48 billions). However, purely from a hardware cost point
of view, the n rhlt could be competitive with either the 3
or ß^ rifles If the values of P and U for the /\ were both
B12
overestimated by appraadnately 0 to 20$ while, for the 3 rifles,
these Parameters were underestimated by approximately 2 to 16^.
Thus, the significance of the difference between the two rifle
system costs would depend upon one's Judgment regarding the possible
degree of uncertainty of the specific values used In the cost study.
6. Conclusions and Reconmendetlons. In view of the extreme
importance of the various ammunition us ige rates and unit cartridge
costs to total system costs, It Is reconmended that further study
be made of the specific values used In these calculations If total
system costs are to be an important criteria In the overall SAWS
study. If necessary, these ammunition parameters should be refined
and new systems costs determined on the basis of the revised para-
meter values.
The required calculations can be completed at the Head-
quarters, U.S. Amy Weapons Command within a very short time after
the revised data are received since comparison of the systems costs
as presented in Annex D and E validate the computerized methodology.
E13
FIG. 2 VARIATION IN TOTAL RIFLE SYSTEM COSTS
WITH VARIATIONS IN IMPORTANT AMMUNITION PARAMETERS - Po AND U
(Considers 14 years foreaofc system, for comparative purposes time frame FY 71-84)
spans
I.2IA, l.44Ap I.20A«
A
C
♦ 10
PERCENTAGE VARIATION IN PEACETIME AMMUNITION ALLOWANCE (Pa) AND UNIT
CARTRIDGE COST
4-20
p» 865**6
■
Appendix 1 • Nam«ncla+.urf
For Deta Sheet!;
CMN - Cost to nalntalfi nev weapon each year.
CAN - Cost to acqulri nev weapon.
CFN - Cost for aamurltlon manufacturing facilities for nev weapons.
CD - Cost for development of weapon system. (NOTE: Latter 2 costs are those vhich are not already Included In hardware costs.)
WPG - Total (maximum) number of old (o.e., existing) weapons In the inventory.
WFO - Total (maximum) number of old weapons In the field or In hands of troops.
CMO - Cost tc maintain old weapon each year.
APO - Worldwide average coet rate of ammunition usage for old weapon In peacetime (in $/wpn/yr).
A WO - Worldwide av»: aga cost rate cf aamunltlon usage for old weapon fo^ first six months of war (in $/wpn).
YT - Length of transition period in years (i.e., number of yeara required to phase- In thf new weapon and phaee- out the old.).
YBT & YAT - Number of years to be toaaidftysd before transition period and after ih* ttansition period, respectively.
WPN - Total number of nev weapons to be produced for Amy inventory.
WFN - Total number of nsv weapons to be fielded (i.e., in the hands of troops;.
APN - Worldwide average cost rate of asmunltlon usage for new weapon in peacetime (in $/wpn/yr).
AWN - Worldwide average cost rate of aamunltlon usage for new weapon for first six months of war (in $/wpn).
Appendix 1 - Nomenclature (Cont'd)
For Chart«;
UN - Hew weapon.
OW - Oil (existing weapon.
NA - New aanunltlon (i.e., aamo for new weapons).
OA - Old aanunltlon (i.e., umo for old weapons).
TOTAL - Total costs for all weapons and aanunltlon.
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UNCLASSIFIED Serurity Clas«;ifi< .'iiion
DOCUMENT CONTROL DATA -R&D (Secutlty clmr.ilii niiori cl IIIIB, hndy vl »bafintt and Indi-yinf »nnoimlon rnri.ti Ije vnlrred when Ihe overall report /s clnscllledj
1. OHIGIN A 1 iriG ACTIVITY (Corftoiulv iiulhvr)
HQ, U. S. ARMY WEAPONS COMMAND (Cost Analysis Olficc - AMSWE-CPD) Rock Island, Illinois 61201
Za.RCPORT SECURITY C L A ESI F IC * TION
UNCLASSIFIED 2b. CROUP
3 REPORT TITLE
Automated Life Cycle Cost Models for Army Weapon Systems
4. DESCRIPTIVE NOTES (Typt ol tepotl ond Inclusive dein)
S- AUTHORISI ff/ret name, middle Initial, letl name)
Frederick M. Chakour
». REPORT UATt
May 1969 7«. TOTAL NO. OF PACES
117 76. NO. OF REFS
3«. CONTRACT OR GRANT NO.
b. PROJEC T NO.
Sa. ORIGINATOR'S REPORT NUIrfBERIS)
CPD 69-11
NA »b. OTHER REPORT NOISI (/iiij'olher number» that may be atslcined
this report)
10. DISTRIUUTION STATL-ML-N'r
Distribution of this document is unlimited.
II. SUPPLEMENTARY NOTES
None
12. SPONSORING MILITARY ACTIVITY
Hq, U. S. Army Weapons Command ATTN: Cost Analysis Office (AMSWE-CPD) Rock Island, Illinois 61201
13. ABSTRACT
This report is a compilation of five automated mathematical life cycle cost models for small arms weapons and combat vehicles. Each of these methodologies conplRt of a mathematical model and nomenclature lists. Some of the models include samples of computer printouts, input data, resultant costs, derivations of pertinent relationships as well as some of the FORTRAN computer programs employed, and other explanatory material.
The first model presented is the WECOM Combat Vehicle Life Cycle Cost Model. This model is the most highly developed of the five and is described and presented in the most comprehensive manner. This methodology, which develops costs according to two different schemes of categorization, simultaneously, consists of some 100 equations and approximately 110 elements or sets of input data, schedules and cost factors.
FOKM j *■•: RCPLACK.» DO FORM 1471, I JAN «4, ViHICH I* >R ABMY U»f . UNCLASSIFIED
Security ClasRification
OSSIFIED Security Classifiration
KEY WORD» L INK c I
HOLt 1 WT {
Automated Cost Model
Life Cycle Costs
Weapon System Costs
Combat Vehicle Costs
Small Arms Weapons Costs
Mathematical Models
umAS&mm. Secunly CUsRification