3. A company has developed a project and is interested in accelerating the schedule if possible. A network diagram and table show all information needed. Partial crashing is available. Present Accelerated Duration Cost Duration Cost a 3 $100 2 $200 b 4 $50 3 $170 c 5 $250 4 $340 d 3 $100 cannot accelerate e 6 $100 5 $175 f 7 $300 5 $600 a) What is the completely accelerated project duration after maximum crashing? Show all the work. b) What is the total additional cost for reducing the duration by the maximum? Show all work.
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The table shows the original duration and cost, and the accelerated duration and cost for each task. We need to find the shortest path through the network after accelerating as many tasks as possible. Show more…
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In the project considered below, activity crashing can take place over a wide range of reduction times. The cost per day of reduction is given: Activity | Immediate Predecessor | Normal Time (days) | Cost/day | Lower Time Limit A | None | 3 | 450 | 1 B | None | 4 | 300 | 2 C | A | 3 | 200 | 1 D | E | 2 | 100 | 1 E | A,B | 2 | 500 | 1 F | C,D | 4 | 600 | 3 For example, activity C can be crashed from its normal time of 3 days down to as little as 1 day or anywhere in between; the cost per day to crash C is 200. a) Draw a network diagram for this project. What is the critical path? How long will the project take, if no crashing takes place? b) Determine the least cost way to crash activities in order to complete the project in 11 days; in 10 days; in 9 days; in 8 days. c) Suppose the due date for the project is 5 days and a penalty of $500 a day is assessed for each day late. What is the optimal number of days to crash the project? Why?
Kenny M.
Madhur L.
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