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. Pert. Gert CPM Gent. CPM : Pert FBS CPM. WBS CPM AOA AON ).... www.iedoc.ir
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A B C D E A B A, C B, D D B C B A ww iedoc.ir Pert AON AOA....
... 3-5 E = Eearlist L = Latest TF= ToTal Float L j ESij. 40 3-5 t = 40 Lj Ei Dij 11 12 13 14.. 2. -2. ij www.iedoc.ir Li Ej Dij Li EFij 4 5 6 7....
SFij = EFij Dij Li SFij = Lj Dij Li (Safety float) SFij= Lj Dij Ei SFij = Lj Dij EFij { } { } IFij = Max 0, E j Dij Li IFij = Min 0,Ej Dij Li 2 0 6 (Independent Float) ij FFij IFij TFij TFij FFij IFij SFij IFij TFij SFij TFij IFij 3 1 5 IF ij = E j Dij Li IFij = Max { L i D ij + Ei,0} IF ij FFij TFij IFij TFij FFij IFij TFij SFij IFij SFij TFij : 1-4 4 www. edoc.ir 5 4-6 2 3 IF ) IF 14 4 3 IFij = 0 : ij IF ij. IF ij
{ } { } T FAB = Min TF 1,TF 2,...,TFK T FAB = Max TF 1,TF 2,...,TFK T FAB = TF1 + TF 2 +... + TFK T FB= Min{ TF 1,+T + TF2 + TF K,0} = Max { TF,TF,...,TF } TF AB 1 2 K { } TF AB = Min TF 1,TF 2,...,TFK { } TF AB = Max TF1 + TF 2 +... + TFK + 0 { } TF AB = Min TF1 + TF 2 +... + TF K,0 ( ) = Max ( TF,TF,...,TF ) Max TF 1,TF 2,...,TFK 1 2 K ( ) = Min ( TF,TF,...,TF ) Max TF 1,TF 2,...,TFK 1 2 K ( ) = Max ( TF,TF,...,TF ) Min TF 1,TF 2,...,TFK 1 2 K ( ) = Min ( TF,TF,...,TF ) Min TF 1,TF 2,...,TFK 1 2 K ij ( ) ( ) ( ) ( ) FFij = TFij Max TF ij,tf kj,tfnj FFij = TFij Min TF ij,tf kj,tfnj FFij = TFij Min TF kj,tfnj FFij = TFij TFkj + TFnj
TF02 = 4 TF12 = 8 TF13 = 2 TF35 = 3 4 5 0 5 32 : 5. 3 4 1 4 : 3-4 2 3 1 2-4 2 0-2 2 3 2-4 3 1-2 40 2 34 36 (2 2 38 www.iedoc.ir 4 1-4 3 5 0 1-4 1-3 1-2 6-7. 2. 3. 1.
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4. LS ij 3 13 2 12 13 ES ij 0 9 0 6 5 C A B D E C A E D B 3 4 2 6 8. 5 www.iedo.i 10 15 8 6 9 A B C D E C A E B D C A D E B LS...
. ) En 2 Min z = rt t= 1 En St: rt = R t= 1 rt 0 R t r t n E n. En 2 Min z = ( rt+ 1+ rt) t= 1 En St: r t = R t= 1 r t 0 En 2 Min z = ( rt+ 1 rt) t= 1 En St: rt = R t= 1 rt 0.... :.... www.iedoc.ir :.... : A 20 B FAFB= 20 FASB= 20 SASB= 20 SAFB= 20
3 5 ESB= EFA+ FAF B DB ESB= EFA+ FAF B DA F A F B. e, d, c, b, a FS a c = 0 FS a b > 0 FS a c > 0 FS a b > 0 ES B ES B= EFB FA FB+ DB ESB= ESA + FAF B 5 : 4. a c, b FS a c> 0 FS a b = 0 FS a c = FS a b = 0.c 2 b c, b SF b c= 2 d FF d e= 2 FS b c = 2 FF b c= 2 SS b c = 2 b 4 c 7 d. b c www.iedoc.ir FF c F d = 0 SS c d= 7 FF b d= 4 SS b d= 1 FF b d= 1 SS b d= 4 SS c d = 7 FF c d = 0 FS d e= 2 SF c d= 7 SS d b= 4 FF b d= 1 FF c d= 0 FF b d= 1 SS d b= 4 FF c d= 7 FF c d= 0 e d 2 FS e d = 2 Sd Fe= 2
4. c,b LFb = LFc+ FbF c LFb = LSc SbSc+ Db LFb = LSc+ FbSc LFb = LFc SbSc+ Dc 1 2 4. 1 3 4 1 2 3 4 1 2 4 1 3 4 1 2 3 4 97.7% 77% 93% 68% 50% %95 %5 2 2 tp to σ = 3.2 2 tp to σ = 3.2 t o t p 2 2 tp to σ = 6 2 tp to σ = σ
:. )..... 20 32 16 www. ed.ir B 3 E 9 A 8 B 33 A 2 E 8 A 9 B 8 51 7 49 6 5 47 45
12 41 9 IC = 2T + 16 0.9 0.9545 19.14 0.92 0.8 10 33 9 9 8 4 17 9 4 9 8 9 3 25 9 16 0.85 0.8 1 9 29 9 0.75 11 8 4 0.8545 18.15 0.9 0.8384 0.8283 %95 14.17 17.14 2 0.87 www.iedoc.ir 0.82 3 2 0.6 0.5 0.4. 0-1-2. 0-2
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Gert : 10 5 10 R. Q 6 3 10 5. Q R 5 10. Q R 5. Q R CPM ww.i doc.ir
. 5 n ) 2 10 3 10 1 3 2 3 6 7 3 1 U,H A,U H,A www iedoc.ir 0.125 0.25 0.52 0.1
t1 t2 da t2 t3 db 2 da 4 1 db 3 d A,B,t1,2,3 0 2 da da 1 db 3 t1+ t2 = t3 t1 t3 0,dA,B 0. 12 t 2 t 1 da t 3 t2 db 2 da 4 1 db 3 t2 t1 da t3 t2 db 2 da 4 1 db 3 d A,B,t1,2,3 0 d A,B,t1,2,3 0 ( 3 1) ( A ) ( B ) ( 1 3) ( A) ( B) ( 3 1) ( A) ( B) ( ) ( ) ( ) Min z = 12 t t + 10 d 4 + 5 d 3 Max z = 12 t t + 10 4 d + 5 3 d Min z = 12 t t + 10 2 + d + 5 1+ d Minz = 12 t3 t1 + 10 4 da + 5 3 db www.iedoc.ir T= 6.. t3 t1 6 Min z = 12( 6 t 1) +... t3 t1 6. t3 t1 6
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Cost Performance Index (CPI) BCWP ACWP BCWS BCWP BCWS ACWP BCWP ACWP BCWP BCWS BCWP BCWS ACWS BCWP ACWP (CV) Cost Variana ACWP BCWP BCWS BCWP Schedule Performance Index (SPI) BCWP PI)iBCWS ACWP BCWP Schedule Variance BCWP BCWS BCWP ACWP BCWP BCWS BCWP ACWP BCWP BCWS ACWP BCWP BCWP BCWS www.iedoc.ir ACWP BCWP
WBS FBS. Work Break Down Structure Function Break Down Structure.... C B C D..... www.iedoc.ir. : AON Activity On Node : AOA Activity On Arrow
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: FF2 3 = 10 6 = 4 2-3 3 5 t= 38 T Fij = LSij ES ij = LF ij EFij TFij= Lj D ij Ei = Lj Ei Dij 14243 43 LS 1 4 6 7 ij 1 2 3 6 7 1 2 3 4 6 7 1 2 5 6 7 1 2 5 3 6 7 1 2 5 3 4 6 7. 2 t = 40 www.ie c.ir
2 ij 5 2 FFij = 2 TFij = 5. ij... L i ij ij FF4= E4 EF14= 12 7 = 5 SF46 = L6 D46 L4 SF46 = 33 15 18= 0. ij ww edoc.ir. { } IF14 = Max 0, E4 D14 L1
{ } IF14 = Max 0,12 7 0 = 5 IFij FFij TFij IF 0 TF IF = 0 ij ij ij.. ( ) TF13 = min TF 34,TF35 ( ) 2= min TF 34,3 TF34 = 2 ( ) Min TF 02, TF12 = TF 24 Min ( 4,8) = 4 ( ) FF02 = TF 02 min TF 02,TF12 ( ) FF02 = 4 min 4,8 = 4 4 = 0 ( ) FF24 = TF24 min TF 24,TF34 ( ) FF24 = 4 min 4, 2 = 2 : 3-5 3-4 1-3. TF 34,TF24 FF12 = E2 EF12
. FF 12 ( ) ( ) FF12 = TF12 min TF 02,TF12 = 8 min 8,4 = 4 4= 40 EF12 EF12 = 36 TF36 = T13 = 5 TF46 = T14 = 3 ( ) ( ) TF67 = min TF 36,TF46 = min 3,5 = 3 1 4 4. 1 4. 6 7. 8. 3. 13 ww. edoc.ir 2 1-2. 3 4..
C A E D B LS = 2 LS = 3 LS = 12 LS = 13 LS = 13 ES= 0 ES= 0 ES= 5 ES= 6 ES= 9 LS ES www oc.ir..
wb c.ir ESB= EFA+ F A F B DB ESB = EF B DB. F A S B = 3 3 www.ie. c b a
LFb = LSc SSbc+ Db EF EF z= = 0 σ.. ) ).. %100 www.iedoc. r. A C E T= 12 10+ 9+ 4+ 8+ 2 = 33
C= 33+ 3( 2) = 39 T= 12 C= 33 : 3 E 1 2 3 4 1 3 4 : A 39+ 4= 43.. B, A = 43+ ( 1 6+ 1 2) = 51 T= 7=
... IC = 2T + 16 C+ IC T= 12 C= 32 40 o 73 T = 9 C= 39 34 * 73 T = 8 C= 43 32 75 T = 7 C= 51 30 81 4 4 8 V1 3+ V 3 4 = + = 9 9 9 E4= te1 3+ te 3 4= 9 ww. 1-3-4 4 : 3. 6 4 3 25 4 29 V3= V4 6+ V3 4 = + + 9 9 9
6 16 14 Pr ( Te 16) = Pr z = Pr ( z 1.05) = 0.85 32 9 4 11 9 8 9 Pr ( 8 TE 11) = Pr z Pr z = 0.8384 8 8 9 9 6 Ts 14 Pr ( Te Ts) = 0.95 Pr z = 0.95 33 9 z0.95 = 1.645 Ts 14 = 1.645 33 T s =17.1 17.14 9 0 ( 5 2) Pr ( S2 0 ) = Pr = 0.92 z 41 1 + 9 9 www.iedoc.ir 3 ( 5 2) Pr ( S2 3) = Pr z = 0.5 41 1 + 9 4. 10 9= 1 ( 2,3.5)
D< E A < D,E A < E. A < D,E E 0.3 1 = = 1 0.1 3. 7 7 7.. U A. c, b, a P ) 0.1 1 = = = 0.125 1 0.2 8 ( ) ( ) ( ) Min z = 12 t3 t1 + 10 4 da + 5 3 db st :t2 t1 da t3 t2 db 2 da 4 1 db 3
d B,d A,t1 t3 0 ( ) ( ) Min= z= 10 4 da + 5 1 db st: t3 t1 6.. BCWS BCWP S www.iedoc.ir