Question

Use the information contained below to compress one time unit per move using the least cost method. Reduce the schedule until you reach the crash point of the network. For each move identify what activity(ies) was crashed and the adjusted total cost. (i.e., Calculate the minimum direct cost when project is finished in 13 days, 12 days, 11 days, as well as 10 days.)

Note: Choose B instead of C and E (equal costs) because it is usually smarter to crash early rather than late AND one activity instead of two activities


Crash Cost MaximumNormal Normal Act. (Slope Crash Time Time Cost 150 100 200 200 200 150 100 50 40 50Initial project duration 13 6 2x 1x Total direct cost 1,000 4 3

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Answer #1

Initial state 6 4 Project path Duration Critical? A-B-C-F A-B-D-E-F 13 12 Yes Project duration 13 1000 Nomral cost Crash cost

6 Project path Duration Critical? A-B-C-F A-B-D-E-F 12 Yes Yes 12 Project duration 12 1000 40 1040 Nomral cost Crash cost Tot

Step-2: Crash B by 1 day 6 lrojexi pait ation Ciial? A-B-C-F A-B-D-E-F 11 Yes Yes Project duration 11 1000 140 1140 Nomral c

Step-3: Crash C and E by 1 day each 2 x Project path Duration Critical? A-B-C-F A-B-D-E-F 10 10 Yes Yes Project duration 10 1

Summary

Step Duration Activity rashed (days crash) Direct cost
0 13 - 1000
1 12 D(1) 1040
2 11 B(1) 1140
3 10 C(1), E(1) 1240
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