I need a detailed explanation and assistance to solve this problem:
A company decides to plan a project, with activities, precedences and random duration statistics given in the following table:
Activity |
Immediate Predecessors |
Duration Minimum (weeks) |
Duration Mode (weeks) |
Duration Maximum (weeks) |
A |
none |
2 |
5 |
9 |
B |
A |
1 |
6 |
8 |
C |
A |
3 |
5 |
12 |
D |
B |
2 |
4 |
12 |
E |
B, C |
4 |
6 |
8 |
F |
B |
6 |
7 |
8 |
G |
D, E |
1 |
2 |
6 |
H |
F, G |
4 |
6 |
16 |
* What method should be used? Compute the mean and variances for each activity and add them to the table above
* Draw the project network and label the arcs with the activity name.
* Assuming that the critical path is AàBàP_{1}àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks.
* Assuming that the critical path is AàBàP_{1}àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.
Drawing the project network as shown in the diagram using AOA convention we represent the activities and their timings.
The mean time of the activities are computed based on the formula
te = (to + 4tm + tp ) / 6
where to = optimistic time (minimum), tm = most likely time (mode), tp = pessimistic time (maximum)
The variance of the time of the activities are computed based on the formula
Variance = (tp –to)2/36
So compl...
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