exercices de diagramme pert

7/31/2019 Exercices de diagramme PERT

1/11

Ybnhd`dcn|doh l'}h yuokm|

Bn ybnhd`dcn|doh l'}h yuokm| lm sts|fm l'dhòufn|doh cohsds|m yupodu b'oulohhnhcmfmh| lms

oyun|dohs s}u bm ybnh lms lbnds m| s}u bm ybnh lm b'}|dbdsn|doh lms umsso}ucms( Db cohpdmh| lnhs }hyumfdmu |mfys lm fms}umu bm %yodls% l'}h yuokm| mh |mufm lm cjnugms m| lohc lm l}um 1 lnhs }hsmcohl |mfys" db s'ngd| l'oy|dfdsmu bn s}ccmssdoh lms |cjms m| neo}|du ndhsd }h cnbmhludmu lmsoyun|dohs( Mh`dh" lnhs bm lpmboyymfmh| l} yuokm|" db `n}| m``mc|}mu ug}bdumfmh| lms coh|ubmslm s}dpd m| pmh|}mbbmfmh| nyyou|mu lms fold`dcn|dohs n} cnbmhludmu(

F|jolm YMU\Bn f|jolm YMU\ *Yuogunf Mpnb}n|doh nhl Umpdmw \mcjhd~}m$ }|dbdsm }hm umyusmh|n|doh mhgunyjm yo}u l|mufdhmu bn l}um fdhdf}f l'}h yuokm| cohhndssnh| bn l}um lm cjn~}m |cjm m|bms coh|undh|ms l'mhcjnhmfmh|( Mbbm ms| cofyb|m ynu b'|nebdssmfmh| l} ldngunffm lm Gnh||~}m b'oh |}ldmun yb}s bodh(Bm gunyjm umyusmh|m bms |cjms m| bms |unhsd|dohs mh|um bms |cjms( Lm}z òufnbdsfms soh|}|dbdss ;

bm gunyjm lms|cjms ; cjn~}m|cjm ms|umyusmh|m ynu}h umc|nhgbm m|bms |unhsd|dohsynu lms `bcjms

bm gunyjm lmsphmfmh|s ;cjn~}m

phmfmh| *`dhl'}hm |cjm ynumzmfybm$ ms|umyusmh| ynu}h opnbm m| bms|cjms ynu lms`bcjms(

Bms lm}z òufnbdsfms soh| ~}dpnbmh|s( Oh h'}|dbdsmun dcd ~}m bm gunyjm lms |cjms( Bms bdmhsmh|um bms |cjms ym}pmh| |um lm hn|}ums ldpmusms ; `dh &8 le}| *bn |cjm s}dpnh|m hm ym}|

coffmhcmu ~}m sd bn |cjm yuclmh|m ms| `dhdm$" `dh &8 `dh *bn |cjm s}dpnh|m sm |mufdhm ~}nhl bn|cjm yuclmh|m sm |mufdhm$" le}| &8 le}| *bm le}| lm bn |cjm yuclmh|m lcbmhcjm bm


2/11

le}| lm bn |cjm s}dpnh|m$" le}| &8 `dh *bm le}| lm bn |cjm yuclmh|m fnu~}m bn `dh lm bn|cjm s}dpnh|m$( Bms bdmhs ym}pmh| |um pnb}s ;

Bn coh`mc|doh lms km}zl'mssnd coffmhcm >9

ko}us npnh| bnyuogunffn|doh(

Ynufd |o}s bms cjmfdhs l'}h gunyjm db mh mzds|m }h nyymb cjmfdh cud|d~}m ~}d umbdm bms |cjms%cud|d~}ms% ~}d soh| bms |cjms loh| bm um|nul dfybd~}mun }h um|nul m``mc|d` l} yuokm|1 ohl|mufdhm cm cjmfdh cud|d~}m npmc bms ynunf|ums s}dpnh|s ;

ln|ms n} yb}s || ; le}| *L!||$ m| `dh *@!||$ ln|ms n} yb}s |nul ; le}| *L!|nul$ m| `dh *@!|nul$ fnugm ; *L!|nul$ & *L!||$ 6 *@!|nul$ & *@!||$

Oh sm ybncmun lnhs b'jtyo|jsm o db h'mzds|m ~}m lms bdmhs `dh &8 le}|( Bm cjmfdh cud|d~}m ms|nbous bm cjmfdh bm yb}s bohg(>mu cns; \d ms| }hm |cjm lm l}um ld mh le}| lm yuokm|(

L!||*\d$6 |9@!||*\d$6 |9 ! ld

5fm cns; \d ms| }hm |cjm lm l}um ld mh `dh lm yuokm|

@!|nul*\d$6 |`L!|nul*\d$6 |` & ld

3fm cns; \d ms| }hm |cjm lm l}um ld n} smdh l} yuokm|


3/11

L!||*\d$ 6S}yq@!||*yulcmssm}us$v@!||*\d$ 6 L!||*\d$! ld@!|nul*\d$ 6

Dh`qL!|nul*s}ccmssm}us$vL!|nul*\d$ 6@!|nul*\d$ & ld

Npmc cms |uods sudms lm ugbms" db ms| yossdebm lm l|mufdhmu bm cjmfdh cud|d~}m( Oh yuoclm lm bn

fnhdum s}dpnh|m( Mh coffmhnh| ynu bms |cjms lm le}|" oh l|mufdhm bms ln|ms n} yb}s || 1y}ds mh coffmhnh| ynu bms |cjms lm `dh" oh l|mufdhm bms |cjms n} yb}s |nul( Oh cnbc}bm

mhs}d|m" yo}u cjn~}m |cjm" bn fnugm( Bm cjmfdh cud|d~}m ms| bm cjmfdh couumsyohlnh| n}z fnugmsh}bbms(mzmfybm ; sod| }h yuokm| cohs|d|} lms |cjms s}dpnh|ms ;

|cjm l}um yulcmssm}us s}ccmssm}usN


4/11

Oh ym}| n}ssd ybnhd`dmu %n} yb}s ||% ;

o} %n} yb}s |nul% ;

Sd b'oh hm ldsyosm ~}m l'}hm sm}bm umsso}ucms" edmh mh|mhl}" bn l}um l} yuokm| smun unbbohgm 1 bmldngunffm lm Gnh|| cd&lmsso}s lohhm }hm yossdedbd| ;

Lm}z oyun|dohs ym}pmh| |um nyybd~}ms s}u bm ldngunffm lm Gnh|| ; bm hdpmbbmfmh| m| bm bdssngm(Bm hdpmbbmfmh| cohsds|m bdfd|mu bm hofeum lm umsso}ucms" cm ~}d" mh ghunb nbbohgm bn l}um l}yuokm|( bm ynssngm lm lm}z umsso}ucms }hm sm}bm *podu `dg}um yuclmh|m$ mh ms| }h mzmfybm(


5/11

Bm bdssngm cohsds|m mh }h nk}s|mfmh| lm uynu|d|doh lm bn cjnugm lm |unpndb lm cjn~}m umsso}ucm(

Sd" ynu mzmfybm" bn umsso}ucm U> |unpndbbm fd&|mfys m| bn umsso}ucm U5 |mfys cofybm|" ohyo}uun npodu" npmc b'mzmfybm |}ld ;

YMU\ yuoenedbds|m

Db mzds|m }hm pmusdoh l} YMU\ ~}d yumhl mh cofy|m bms nbns s}u bms ln|ms m| bms l}ums( Sohnyybdcn|doh s'm``mc|}m mh yb}sdm}us |nyms ;>um |nym ; mbbm cohcmuhm bn umcjmucjm lm bn bod lm yuoenedbd| lm bn l}um lm cjn~}m |cjm \d(Lnhs bn yun|d~}m oh nloy|m }hm bod }hdpmusmbbm ; bn bod E|n ensm s}u |uods ynunf|ums ;

bn l}um oy|dfds|m lm bn |cjm \d ; |oy|*\d$ bn l}um ymssdfds|m lm bn |cjm \d ; |yms*\d$ bn l}um pundsmfebnebm lm bn |cjm \d ; |pun*\d$

Oh l`dhd| ~}mb~}m`ods bm uds~}m ynu bn ~}nh|d| U*\d$ 6 Q|yms*\d$&|oy|*\d$V/|yms*\d$( Bm uds~}mfotmh ms| cofyuds mh|um U 6 9"5= m| U 6 9"=(5fm |nym ; N ynu|du lms ynunf|ums yuclmh|s" oh cnbc}bm lm ho}pmn}z ynunf|ums *yo}u bn bodE|n$ ;

bn l}um yuoenebm lm bn |cjm \d ; |yuo*\d$ 6 Q|oy|*\d$ ! /5

Oh s}yyosm }s}mbbmfmh| ~}m bn l}um lms cjmfdhs oed| bn bod houfnbm *lm Gn}ss$ lm ynunf|ums

Lms| m| Mms|( Mh }|dbdsnh| }hm |nebm lm Gn}ss oh ym}| nbous mh ll}dum sod| }hm l}um }hmyuoenedbd| `dzm" sod| }hm yuoenedbd| l'ncjpmfmh| l} yuokm| lnhs }h lbnd lohh(


6/11

mzmfybm; Yumhohs bm cjmfdh cud|d~}m lm b'mzmfybm yuclmh| *l}um |o|nbm 57 ko}us$( S}yyosohs~}m bms |cjms E" L" @" G couumsyohlmh| n}z ynunf|ums coff}hs s}dpnh|s ;|oy|*\d$ 6 9"7+ld |yms*\d$ 6 >"5+ld |pun*\d$ 6 ldOh mh ll}d| |yuo*\E$ 6 0":: |yuo*\L$ 6 >>": |yuo*\@$ 6 ="4 |yuo*\G$ 6 >"40

m*\E$ 6 9"=: m*\L$ 6 > m*\@$ 6 9"= m*\G$ 6 9">0Lms| 6 50"=< Pms| 6 >"0> Mms| 6 >"57

Cnbc}bohs bn yuoenedbd| yo}u ~}m bn l}um l} cjmfdh sod| dh`udm}um bn pnbm}u 57( Bn pnudnebm lmGn}ss ul}d|m ms| *57 & 50"="57 6 9"30055(Bms |nebms yo}u | 2 9"30055 lohhmh| bn pnbm}u nyyuozdfn|dpm 9"0


7/11

K fdsm mh ybncm lms you|msm| `mh|ums J" D >

\uncmu bm ldngunffm Ymu| m| mh ll}dum bm cjmfdh cud|d~}m(Mzmucdcm 5B'mh|umyudsm SLE&Yb}s `neud~}m m| coffmucdnbdsm" n}yus lms ynu|dc}bdmus" l} foedbdmu lm snbbm lmendhs( Bms smupdcms lm `neudcn|doh lm bn SLE&Yb}s oh| |}ld b'oulohhnhcmfmh| lms |cjms ynu|du lm bn coffnhlm l'}h cbdmh| lnhs }h fngnsdh k}s~}' bn bdpundsoh( Bm |nebmn} s}dpnh|uymu|oudm bms |cjms m| bms coh|undh|ms l'mhcjnhmfmh|(

|cjms l}ummhko}us

yulcmssm}us s}ccmssm}usN >9 L" M" @E 59 MC = M" @L 9 N" E" C G@


8/11

B'mh|umyumhm}u cjnug lm bn cohs|u}c|doh lod| ybnhd`dmu bms |unpn}z(>$ Db lod| |uncmu bm gunyjm Ymu| m| l|mufdhmu bm cjmfdh cud|d~}m5$ Bms umsso}ucms j}fndhms }|dbdsmu soh| ;

sod| ; }h nucjd|mc|m n``mc| bn |cjm N" }h |muunssdmu> n``mc| n}z |cjms E" L" G" }h|muunssdmu 5 n``mc| n}z |cjms E" L" G" }h |muunssdmu 3 n``mc| n}z |cjms L m| G" }hymusohhmb smupdcm ncjn| > n``mc| n}z |cjms C m| J" }h ymusohhmb smupdcm ncjn| 5n``mc| bn |cjm M" }h ymusohhmb smupdcm ncjn| 3 n``mc| bn |cjm @" lm}zcjnuymh|dmus > m| 5 n``mc|s n}z |cjms D m| K(

sod| ; }h nucjd|mc|m n``mc| bn |cjm N" }h |muunssdmu n``mc| n}z |cjms E" L" G" }hymusohhmb smupdcm ncjn| n``mc| n}z |cjms C" M" @" J" }h cjnuymh|dmu n``mc| n}z |cjmsD m| K(

Bms lm}z cns soh| |}ldmu(Mzmucdcm ; Bn gms|doh lms coh|mh}s mh bdghm Cofyosnh|m 5 ; Bn gms|doh lms dhscud|s Cofyosnh|m 3 ; Bms o}|dbs l'nccofynghmfmh| ylngogd~}m *`ou}f" cjn|" @N^$

Bms |uods cofyosnh|ms h'|nh| yns cofyb|mfmh| dhlymhlnh|ms" }hm dh|gun|doh" dhcb}nh| lmslpmboyymfmh|s cofybfmh|ndums" ms| yupoduOh s}yyosm ~}m bms ld``umh|ms |cjms soh| coh|undh|ms ynu bm}u cjnugm m| bm}us lymhlnhcmcoffm dhld~} lnhs bm |nebmn} cd&lmsso}s ;

|cjms Cjnugm *mh fodszjoffms$\cjms yunbnebmsN ; Nhnbtsm gboenbm


9/11

Sob}|doh lm b'mzmucdcm >Mh }|dbdsnh| FSY" oh oe|dmh| *bm cjmfdh cud|d~}m ms| mh uo}gm$;

Sob}|doh lm b'mzmucdcm 5Mh }|dbdsnh| FSY" oh oe|dmh| *bm cjmfdh cud|d~}m ms| mh uo}gm$ ;

Sob}|doh lm b'mzmucdcm 3Bm ldngunffm lm Ymu| ms| *cjmfdh cud|d~}m mh uo}gm$ ;


10/11

B'n``mc|n|doh lms umsso}ucms ms| ;

Mbbm couumsyohl n} ldngunffm lm Gnh|| s}dpnh| ;


11/11

Lnhs bm smcohl cns" db t n fodhs lm umsso}ucms ;

Bm ldngunffm lm Gnh|| ms| lohc fold`d mh cohs~}mhcm ;

exercices de diagramme pert

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