In PERT network analysis, the critical path is defined as

In PERT network analysis, the critical path is defined as
| In PERT network analysis, the critical path is defined as

A. a path with sum of duration of all activities having positive slack values.

B. a path with smallest sum of duration of activities on it.

C. a path with nodes having positive slack values.

D. a path with nodes having zero slack values.

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Concept:

Slack time:

  • Slack time in Program Evaluation and Review Technique (PERT), is a permissible delay with respect to the occurrence of an event, without causing any problems in the completion of the project by its due date.
  • It is applicable only to those events which do not lie on the critical path as for a critical path, slack is always zero.
  • Slack is defined as the difference between the latest occurrence time and earliest occurrence time.
  • It is also given by the difference between the Latest allowable time and the earliest completion.

Network models:

  • Network models can be used as an aid in scheduling large complex projects that consist of many activities.
  • If the duration of each activity is known with certainty, then the critical path method (CPM) can be used to determine the length of time required to complete a project. 
  • If the duration of the activities is not known with certainty, the Program Evaluation and Review Technique (PERT) can be used to estimate the probability that the project will be completed by a given deadline.
  • PERT approach takes account of the uncertainties. In this approach, 3-time values are associated which each activity. So it is probabilistic.