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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