Question 1 ma State necessary and sufficient condition for the critical path?
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Necessary and sufficient conditions for critical path.
Necessary conditions: If Earliest occurrence time equals Latest occurrence time for Tail and Head event of the activity, then it possibly can be a critical activity.
Sufficient condition: If the necessary condition is satisfied and ES and LS of activity are same, also EF and LF of activity is same; then the activity is definitely a critical activity.
a) Determine the critical path and expected project length.
To calculate the critical path, list all the three paths with their expected time of completion.
1-2-5-6 = 10
1-3-5-6 = 17
1-4-6 = 8
The longest path is the critical path and it consists of activities 1-3, 3-5 and 5-6 with a length Te = 4 + 6 + 7= 17.
The variance of the critical path is then VT = Variance of 1-3 + variance of 3-5 + variance of 5-6.
b) Calculate the variance and standard deviation of the project length.
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