Which of the following is correct relation for PERT activity? [Where, A = Expected time, B = Optimistic time, C = Pessimistic time, D = Most likely time]

Explanation:

Program Evaluation and Review Technique (PERT) Activity Relation:

Definition: The Program Evaluation and Review Technique (PERT) is a project management tool used to schedule, organize, and coordinate tasks within a project. It is particularly useful for projects where the time required to complete different tasks is uncertain. PERT involves the identification of the critical path and the calculation of various time estimates for activities in a project.

Time Estimates: PERT uses three different time estimates to determine the expected duration of a project activity:

• Optimistic Time (B): The minimum possible time required to complete an activity, assuming everything proceeds better than is normally expected.
• Pessimistic Time (C): The maximum possible time required to complete an activity, assuming everything goes wrong (but excluding major catastrophes).
• Most Likely Time (D): The best estimate of the time required to complete the activity, assuming everything proceeds as normal.

Expected Time (A): The expected time for an activity in PERT is calculated using a weighted average of these three-time estimates. The formula for the expected time (A) is given by:

Formula:

A = (B + 4D + C) / 6

In this formula:

• B is the Optimistic Time.
• C is the Pessimistic Time.
• D is the Most Likely Time.

⇒ \(D=\frac{6 A-C-B}{4}\)