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 18P
Summary Introduction

Interpretation: The conditional probability that the project will be completed by 25 weeks given that node 7 representing activities A through H is completed by week 15 is to be computed, with the assumption that activity I is normally distributed.

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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Your hospital has applied for certification as a level 1 stroke center. It is critical that the following project is completed in 18 weeks, before the next Joint Commission survey. Project activity times are listed in the table attached as an image.  Determine the minimum cost-schedule for this project to be completed in 18 weeks. Assume a linear relationship between crash cost and crash time. For example, crash cost per week for activity A can be calculated as: ($650 - $200)/(4-2) =  $225. 2. What is the difference in total project costs between the earliest completion time of the project using normal times and the minimum cost-schedule you found in part 1?
The network diagram of a project with four activities is presented below. Start A B C D The estimated optimistic, most likely, and pessimistic times of each task are given in the table below. The expected time and variance of acitivities A are also given in the table. The expected time and variance of activity C and D are irrelevant in this problem. So they can be ignored. optimistic 14 4 5 5 most likely B 18 10 7 10 End pessimistic 23 18 13 12 Expected time 18.167 XX mm variance 81/36 [Three decimal places for all answers) (1) What is the expected task time of activity B? (2) What is the variance of the task time for activity B (3) What is the expected length of path A-B? (2) What is the standard deviation of the length of path A-B? yy 22
Using your results from Problem 6,(a) Calculate the probability that the project will be completedin 38 weeks.(b) Calculate the probability that the project will be completedin 42 weeks
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