Question: Develop simulation model for a PERT/CPM assignment based on problem 14 from chapter 11. Use the attached template (it has probability distributions of durations of
Develop simulation model for a PERT/CPM assignment based on problem 14 from chapter 11. Use the attached template (it has probability distributions of durations of activities A through D that you should consider) and perform 160 recalculations/trials using the Data Table feature of Excel. Calculate the following summary statistics - display them on top of the sheet:
- the estimate of the average length (duration) of the project
- the standard deviation of the project length (duration)
- mode, minimum, maximum and range of the project length (duration)
Calculate the probability that the project will be completed in 33 weeks or less.
Create also a histogram showing frequency distribution of project duration on a new sheet. Rename the sheet to Histogram.
| Project duration problem (PERT/CPM model) | ||||||||||||||
| Input Parameters | Activity C | |||||||||||||
| Activity A | Activity B | |||||||||||||
| Probability | Cumulative Probability | Time | Activity D | |||||||||||
| Probability | Cumulative Probability | Time | Probability | Cumulative Probability | Time | 0.1 | 10 | |||||||
| 0.25 | 5 | 0.2 | 3 | 0.25 | 12 | Probability | Cumulative Probability | Time | ||||||
| 0.35 | 6 | 0.55 | 5 | 0.4 | 14 | 0.6 | 8 | |||||||
| 0.25 | 7 | 0.25 | 7 | 0.2 | 16 | 0.4 | 10 | |||||||
| 0.15 | 8 | 0.05 | 18 | |||||||||||
| Activity A | Activity B | Activity C | Activity D | PROJECT | ||||||||||
| TRIAL | Rand # | duration of A | Rand # | duration of B | Rand # | duration of C | Rand # | duration of D | DURATION | |||||
Problem 14: A profit has four activities (A,B,C and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:
Here's the data:
| ACTIVITY | ACTIVITY TIME(WEEKS) | PROBABILITY |
| A | 5 | 0.25 |
| 6 | 0.35 | |
| 7 | 0.25 | |
| 8 | 0.15 | |
| B | 3 | 0.20 |
| 5 | 0.55 | |
| 7 | 0.25 | |
| C | 10 | 0.10 |
| 12 | 0.25 | |
| 14 | 0.40 | |
| 16 | 0.20 | |
| 18 | 0.05 | |
| D | 8 | 0.60 |
| 10 | 0.40 |
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