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# Assignment No.1 Of MTH601 (Fall 2015)Due Date: November 23,

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Question 1 ma State necessary and sufficient condition for the critical path?

Is ka kia answer hai. koi share kry

Tariq Malik yeh Question No. 02 kay (a, b part) dono ka solution hai???

complete solution share kry koi

Complete Solution:

Question 1:

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.

Question 2:

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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