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Job No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 29 Predecessors 1 2
Job No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 29 Predecessors 1 2 3 4 3,4 3,4 7 5,6 9 8 10,11 10 11 12,14 13 15,16 17 15 18,19 Duration Estimates (days) Optimistic (a) Most likely (m) Pessimistic (b) 7 7 7 6 6 6 2 5 4 6 4 13 2 10 2 15 6 11 4 16 5 13 4 10 3 14 9 9 5 5 5 7 5 7 9 12 13 11 9 6 9 4 4 5 9 7 4 7 8 11 5 5 9 5 6 5 9 9 9 4 Crash Cost per Crash Limit Unit Time (TL) (days) 3056 2647 3138 1379 1863 1543 1610 3863 1947 3121 2547 3678 1640 3930 3179 2689 7 6 2 2 3 2 2 4 3 4 3 1 9 5 4 3 6 4 3 2 b) Determine the possible shortest project duration and total project cost through solving for the all-crash solution (ie., the solution, where critical or not, each activity is crashed to its crash limit). c) Draw the time-cost tradeoff curve for the project (project duration vs. project total cost). Starting with the normal project duration make 4 iterations using the mathematical programming formulation, each time decreasing the project duration by 2 days. Using the resulting 4 points determine the best project duration. Is this project duration optimal? Explain.
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