extra exercises on network diagrams

RMC Project Management, Inc. Extra Exercises on Network Diagrams

Copyright © 2007 RMC Project Management, Inc. All rights reserved.500 East Travelers Trail, Suite 100 • Minneapolis, Minnesota [email protected] • www.rmcproject.com • (952) 846-4484The copyright owner hereby grants permission to make copies of this handout for personal, noncommercial use only.


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Exercise 1

[AON] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.

�. How many paths are in the network, and what are they?

2. What is the critical path and its duration?

3. What is the float on activity U?

4. What is the impact to the project if activity B takes three weeks longer than planned?

Do a forward and backward pass using the original estimates.

Activity Predecessor Estimate in weeks

Start - 0

C Start 6B Start 4P Start 3A C, B, P 7U P 4T A 2R A 3N U 6

End T, R, N 0

Copyright © 2007 RMC Project Management, Inc. All rights reserved.500 East Travelers Trail, Suite 100 • Minneapolis, Minnesota [email protected] • www.rmcproject.com • (952) 846-4484

The copyright owner hereby grants permission to make copies of this handout for personal, noncommercial use only.

2

Answer to Exercise 1

[AON] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.


Therearesevenpaths.Seethedetailsonthenextpage.


Start,C,A,R,End 16WEEKS

3. What is the float on activity U?

3weeks


CriticalpathshiftstoStart,B,A,R,End. Itwilldelaytheprojectendbyoneweek.



Start - 0

C Start 6B Start 4P Start 3A C, B, P 7U P 4T A 2R A 3N U 6

End T, R, N 0

Start

C A T

EndB R

P U N


3

Legend


Start, C, A, T, End �5Start, C, A, R, End �6Start, B, A, T, End �3Start, B, A, R, End �4Start, P, A, T, End �2Start, P, A, R, End �3Start, P, U, N, End �3

Start

C A T

EndB R

P U N

6 7 2

00

66

0 66

1313

0 1314

1516

1

4

02

46

2

3

1313

1616

0

3

03

36

3

4

36

710

3 710 3 13

16

ID

D

ESLS

EFLF

S

Note: Answers are based on using the zero method. See www.rmcproject.com/free/tips.htm for an explanation of the two methods.



4

Exercise 2 [AOA] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.



3. What is the float on activity A–C?

4. What is the impact to the project if activity F-End takes two weeks longer than planned?


Activity Estimate in weeks

Start–A 2Start–B 3

A–C 5A–D 4B–C 6B–F 2C–E 3C–F Dummy

D–End �E–End 3F–End 4


5


[AOA] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.


Therearesixpaths.Seethedetailsonthenextpage.


Start–B,B–C,C–E,E–Endanditwilltake15weeks.

3. What is the float on activity A-C?

Twoweeks

4. What is the impact to the project if activity F–End takes two weeks longer than planned?

Therearetwocriticalpaths.AnadditionaloneisStart–B,B–C,C–F,F–End.


Activity Estimate in weeks

Start–A 2Start–B 3

A–C 5A–D 4B–C 6B–F 2C–E 3C–F Dummy

D–End �E–End 3F–End 4

Start

A D

C E

B F

Start



6


Start–A, A–D, D–End 7Start–A, A–C, C–E, E–End �3Start–A, A–C, C–F, F–End ��Start–B, B–C, C–E, E–End �5Start–B, B–C, C–F, F–End �3Start–B, B–F, F–End 9

Start

A D

C E

B F

End

0

22

2

24 4

29

25

7

102 4

86

146

14 18 7

151512 31512 0

13154

2911

5116

293

30

99

633

30

0

0

3

99

30 12

12

X YD

LS LFES EF

S

Legend


7

Exercise 3[AOA] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.



3. What is the float on Activity F? Activity H?



Activity Successor Estimate in weeks

Start A, B, C 0A D 2B E 4C F, G 5D H 3E I 4F I DummyG J 2H K II K 2J End 4K End 6

End - 0



�


[AOA] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.


Therearefourpaths.Seethedetailsonthenextpage.


Start,B,E,I,K,Endanditwilltake16weeks.

3. What is the float on Activity F? Activity H?

BecauseactivityFisadummytaskthereisnofloat.ActivityHhasfloatof4weeks.


Itwilldelaytheprojectby3weeksbecauseBisonthecriticalpath.


Activity Successor Estimate in weeks

Start A, B, C 0A D 2B E 4C F, G 5D H 3E I 4F I DummyG J 2H K II K 2J End 4K End 6

End - 0

EndStart

A

D H

K

J

G

C

B E

I

F


9


Start, A, D, H, K, End �2Start, B, E, I, K, End �6Start, C, F, I, K, End �3Start, C, G, J, End ��

EndStart

A,2

D,3 H,1

K,6

J,4

G,2

C,5

B,4 E,4

I,2

F

426

59

59

4 610 10

100

1616

1010

0

88

1116

5

7127

1255

10

58

3

03

00

0 44

014

4

26

44

0 88

ID,DLS LFES EFS

Legend



�0

Exercise 4[AON] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.



3. What is the float on activity E?

4. What is the impact to the project if activity C takes three weeks longer than planned?



A - 5B A 7C A 3D B �E B, C 3F D, E 2


��

Answer to Exercise 4[AON] Using the table below, draw the network diagram and answer the questions. When you have completed answering the questions, do a forward/backward pass.


Therearethreepaths.Seethedetailsonthenextpage.


A,B,E,Fanditwilltake17weeks

3. What is the float on activity E?

Zero,itisonthecriticalpath.

4. What is the impact to the project if activity C takes three weeks longer than planned?

Therewillbenoimpacttothecriticalpathoritsduration.



A - 5B A 7C A 3D B �E B, C 3F D, E 2

A

B D

F

C E

5

7 1

3 3

2



�2

Legend


A, B, D, F 15A, B, E, F 17A, C, E, F 13

A

B D

F

C E

5

7 1

3 3

0 5

0 0 5

5 12 12 13

14 2 155 0 12

5 8

9 4 12

215 17

15 0 17

12 15

12 0 15

ID

DES

LS

EF

LFS

extra exercises on network diagrams

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