生产管理ProjectManagement(1)

1、 By: Prof. Y. Peter Chiu Project Management HOMEWORK SOLUTION 1# 3(a)(b)CP = A B D F G (17) 1243567B=5C=1P1=0E=3D=4F=3H=4G=23030438788881281281617121383831181291512151217171515A=32# 3= Where is not needed for solution ,but it is the slack time.(c)CFGHABDEABCDEFHG0123456789 10 11 12 13 14 15 16 17 18

2、3# 412843659710A=3B=2E=6P2=0D=4C=5P1=0G=5F=1K=5H=3I=4P3=0J=40 31 43 87 12347800227 78 822887127128 128 1381291313 16171421271713 1713 171617161717172121*4(a)A B C AD AE BF C，DG D，EH F，GI F，GJ H，I，K，LK BL (b)A-C-F-H-JA-C-F-I-JA-D-F-H-JA-D-F-I-JA-D-G-H-JA-D-G-I-JB-E-G-H-JB-E-G-I-J B-K-JL-J161715161920

3、20211114*# 45# 4(c)ActivitiestiESiSFiLSiLFiSlackABCDEFGHIJKL32546153445100033288131317203287891316172171010742128141317127421288131317172117171041040100107CP= B-E-G-I-J6# 5(a)ActivitiesImmediatePredecessorABCDEFGHIABDA，EDC，FC，F，G7# 5(b)12354678ABP1DEGCFP2IH8# 6(a)(b)CP = A E G (78) C FG (78) 123564A

4、=32D=45G=20F=28C=30B=21E=26P1=0320320773278332103211785878583232323230030058325832585830309ABCDEFGABCDEFG800204060# 6(c)(d) A , B , C , E , F 323077 785810# 81234567A=3C=1P=0B=5D=4E=3F=3H=4G=20033338837488888881212891112121215151213161715151717A-B-P-D-F-G11# 81243567B=5C=1P1=0E=3D=4F=3H=4G=230304387

5、86881281281617121383831181291512151217171515A=312= Where is not needed for solution ,but it is the slack time.# 8CFGHABDEABCDEFHG0123456789 10 11 12 13 14 15 16 17 1813# 817ABDFG3543223221$ 50 125 125 120 100ReduceA 32 costs $50G 21 costs $100Total $150*CP A-B-D-F-G A-B-D-H(a)14# 815ABDFGH2543142322

6、12 $125 125 120 150* If we consider “F” then we must consider “H” along with “F” .ReduceB by 2D by 1*(why ?)(why not 2 ?)(refer to Gantt Chart)(a)15# 8(a)cost $125*2 (B) $125*1 (for D)Total$375CP A-B-D-F-G A-B-D-H A-B-E-F-G A-B-E-HTimeCPActivitiesCourent timeExpedited timecost12ABDEFGH23333142322212

7、 $125 50 120 15016# 8(a)One can consider D&E for $175/wk or F&H for $270/wk. return $150 per weak.(b)ActivityNormal costABCDEFGH#$200 600 100 650 450 500 500 60017# 8(b)Direct cost $3600 for 17 days.For 12 days optimal project scheduleAddAGBD1121 $50 = 50$100 = 100$125 = 250$125 = 125$525Dir

8、ect cost$3600+$525 = $4125 for 12 days.Indirect cost $150*12 = $1800Total costs = $5925.vs.$6150#18# 10(a)123564A=32D=45G=20F=28C=30B=21E=26P1=03203207732783321032117858785832323232300300583258325858303019# 10(b)ActivitiesABCDEFGAA，BCE，FtiESEFLSLFSlack322130452628200003232305832213077585878011033323

9、0583232307858587801101000CP=A-P1-E-GC-F-G20# 10ABCDEFG1020304050#7080： A-E-G :CP： C-F-G :CP： A-D21# 10TimeAct.CurrentExp.-timecost/dy78A-E-GC-F-GACEFG32302628202630202418 $50 110 40 75 Reduce G one day cost $75.CP： A-D* A-E-G C-F-G*22# 10TimeAct.CurrentExp.-timecost/dy77A-DA-E-GC-F-GACDEFG3230452628

10、19263040202418 $50 60 110 40 75* Reduce A & F by 4 day cost $90*4= $360.23# 10TimeCurrentExp.-time costActivitiesCP73A-DA-E-GC-F-GACDEFG283045262419263040202418$50 $60$110 $75DONEOriginal 78 days cost $3300+ $100(78)= $11,100New expedited project scheduce 73 days.Cost Direct cost +75+360= $3735I

11、ndirect 73*$100= $7300Total：$11,035.24# 18PrTI ( 25 15 ) = 10= ?E (TI) = 9.17Var (TI) = 4.69 ?69.417.91010PrZ 0.383=( 0.50+0.1492) =0.649( P.530 )25# 19(a)1243567A=5B=6C=5P1F=7D=4G=2H=6By lnspection CP = A B E G H (25)E=626# 19(b)Pr T28 weeks| CP=ABEGH =？Pr T32 weeks| CP=ABEGH =？Activitiesamb=(a+4m+

12、b)/6 2=(b-a)2/36A2595.1671.361B1685.5 1.361C35125.8332.25D241252.778E4686 0.444F67870.111G1262.5 0.694H46167.333427# 19(c)A B E G H Length = 26.5 2A-B-E-G-H=7.860 = =2.804 PrZ =0.535=0.7037= 70.37 PrZ =1.962=0.9751= 97.51 PrTX weeks| CP=ABEGH = 95 =1.645 X=31.11 weeks 804. 25 .26X Z 804. 25 .2628 80

13、4. 25 .2632 #28# 20(a)All PATHS A-C-E 14 A-D-E 10 B-D-E 12 B-F-G 15 A-F-G 13(b)B-F-G*(c)981.0076.28.515202029# 20(d)A-C-E 14 2 = 4.7B-F-G 15 2 = 5.8(e)9783.0981.09972.08.515207.41420202020),(202121maxA-C-E 14, 2 =4.7A-D-E 10, 2 =3.3A-F-G 13, 2 =5.8B-F-G 15, 2 =5.8B-D-E 12, 2 =3.3PrT 20= (.9972)(1.00

14、0)(.9982)(.981)(1.000) = 0.976 #30# 20(f)(d) A-C-E(e) B-F-Gare Independent (d) is likely to be the most accurate 31# 21From #3CP = A B D F G 1243567B=5C=1P1=0E=3D=4F=3H=4G=23030438788881281281617121383831181291512151217171515A=332# 21(a)ActivitiesTime()2A30.60.36B511C10.20.04D40.80.64E30.60.36F30.60

15、.36G20.40.16H40.80.64Ans (a)/=0.2 =0.2(b) A-B-D-F-G = 17 2A-B-D-F-G = 2.52 Ans(b) 33# 21(c)Pr T 20 weeks| CP=A B D F G = Pr Z =1.89 52. 21720 Pr T X week= 85% = 0.9706 Ans(c) (d)Z = = 1.037 52. 217X X =18.65(weeks) Ans(d) 34(a)(b)CP = A B D F H (41 days) ESEFLSLFslackC61810274E162518272G253927412123

16、4567A=6B=10C=12D=6E=9F=9P1=0H=10G=146060166166182261025162718222216163131222225 2531 314131413141392527# 3035ABCDEFGHABCDEFG3 0412 01 004 0(c)Indirect costs = $200 per day 0622252731391618# 3036(c)Proj. TimeCPC.ACurrent-TExp.-TCost/day41ABDFHA66B104400/6=66.7D65100F95110H108180Choose B, reduce 4 day

17、s, from 10 to 6When B+D = 6+6 =12 CP = ABDFH = 37 & ACFH = 37Cost 66.67*4 = $266.67Save $200*4 = $800# 3037(c)Proj.Time CPC.AC.TExp.-TCost/day37ABDFHA66 ACFHB6 64400/6C129125D65100F95110H108180BC = 192； DC = 225； Choose F = $110 $200 best reduce F by 2 days, from 9 to 7 CP = ABDFH =35 ACFH =35 A

18、BEG = 6+6+9+14=35 cost 110*2 =$220 save $200*2 =$400 # 3038(c)Proj.TimeCPCAC.TExp.-TCost/day35ABDFHA66 ACFHB 6 4466.67 ABEGC 12 109125D65100E97150F7 75110G1410110H108180BC = 192200 by 2 day cost 192*2 = 384 save 200*2 = 400 Total costs = 266.67+220+384 = 870.67 Savings = 800+400+400 = 1600 Net savings = 729.23 # 3039 A B D F H (41)200+600+625+