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Critical Path and Project Completion Time

The figure be...

Question

The figure below indicates a project network; the number at each activity represents its normal duration in days. The critical path is along

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Solution

Critical path is the time wise longest path.

$1 - 2 - 4 - 5 - 7 - 8$ is the critical path.

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Q. The flow net of activities of a project is given in the following figure. The duration of activities are indicated along the arrows.

The critical path of the activities is along

Q. Activities A, B, C and D from the critical path for a project with a PERT network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) distribution, and are independent of each other.

Activity	A	B	C	D
Mean (days)	6	11	8	15
Variance (days $^{2}$ )	4	9	4	9

The probability that the project will be completed within 40 days is ____. [Round off to two decimal places]

[Note: Probability is a number between 0 and 1]

A, B, C, D

E

are the 5 activities along the unique critical path of a

A O A

network of activities. Their characteristics are as under:

Activity	A	B	C	D	E
Expected~duration,~days	7	6	11	14	5
Standard deviation, days	2	2	3	4	1

What is the possible range of project duration (in days)?

Q. Consider the given project network, where numbers along various activities represent normal time. The free float on activity 4 - 6 and the project duration, respectively, are

Q. For the network shown in the following figure, the time estimates in days for each activity are indicated. Determine the probability ( in %) of completing the project in 36 days. The non exceedance probability (P) for various values of the probability factor Z is as follows. The critical path is shown indicated below.

\begin{matrix} Z & 1.0 & 1.1 & 1.2 & 1.3 ( Pr(%)) & 84.13 & 86.43 & 88.49 & 90.32 \end{matrix}

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