Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 10.5, Problem 20P

A.

Summary Introduction

Interpretation: All the paths in the network diagram are to be identified.

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.

B.

Summary Introduction

Interpretation: The critical path is to be identified by computing the expected completion times.

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.

C.

Summary Introduction

Interpretation: The probability that the project will be completed by 20 weeks, with the critical path based on expected completion times is to be computed.

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.

D.

Summary Introduction

Interpretation: The probability that the project will be completed by 20 weeks is to be computed, using the independence of paths A − C − E and B − F - G.

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times. Path independence method is used to compute critical paths other than the one with the longest completion time.

E.

Summary Introduction

Interpretation: The probability that the project will be completed by 20 weeks is to be computed, using independence of paths.

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.

F.

Summary Introduction

Interpretation: The accuracy of the probability of completing the project within 20 weeks with the critical path and path independence method is to be commented

Concept Introduction: Program Evaluation and review technique is a planning and control tool, wherein the work flow of various activities of a project are graphically represented and analyzed. This technique is distinct in the way that it deals with uncertainty in the activity completion times.

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A contractor needs to complete a project. The project involves 10 activities (labeled A, B, ..., J) with precedence relationship in network below. The estimate (in weeks) of the duration of each activityis in the table below. a. The mean and variance of the activity time for A~F are given in the table. Find the mean and variance of the activity time for the remaining arcs.b. Identify the critical path and then compute the mean and variance of the project completion time.c. What is the probability that the project is completed between 32 and 36 weeks?d. What completion time should the contractor claims to be 95% sure of completing the project by then?
The following precedence diagram reflects three time estimates in weeks for each activity.Determine:a. The expected completion time for each path and its variance.b. The probability that the project will require more than 49 weeks.c. The probability that the project can be completed in 46 weeks or less.
a) Identify all paths from nodes 1 to 6 b) Determine the probability that the project is completed within 20 weeks assuming that the critical path identified in part a is critical c)Recompute the answer to part b assuming independance of the paths identified in part a
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