Consider the project with the listed activities, and precedence relationships. Probabilistic durations are given (represented by Beta-distribution).

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Consider the project with the listed activities, and precedence relationships. Probabilistic durations are given (represented by Beta-distribution). Times are given in weeks.
Expected Durations a Predecessor Variance Activity 5 11 17 B 3 3 3 A 10 15 B 5 3 4 6. 6. 6. B, C 8 E, F 3 8 4. Н 7. 6.

(a) Compute the variance and expected duration of each activity.
(b) Draw an activity-on-node precedence diagram for the project.
(c) Using the most likely time estimates calculates the Early Start (ES), Early Finish (EF), Late Start (LS), Late Finish (LF), and Slack Time (ST) for the activities in the project.
(d) Identify the critical path.
(e) What is the probability of completing the project in 37 days or less? Use expected durations from part a for calculations.

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Introduction to Operations Research

ISBN: 978-1259162985

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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