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 10.6, Problem 23P
Summary Introduction
Interpretation: The minimum time required to complete the project is to be computed, assuming that only one machine of the three types are available. The additional weeks required for project completion with resource restrictions is to be determined.
Concept Introduction: Resource loading is a method of allocating manpower, equipment and materials required for completion of a project.
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Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experience of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows:
Client
Project Leader
1
2
3
Jackson
10
16
32
Ellis
14
22
40
Smith
22
24
34
Formulate the problem as a linear program, and solve. What is the total time required?
Scott and Associates, Inc., is accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader- client assignments differ in terms of projected completing times. The possible assignments and the estimated completion times in days are as follows:
Client
Project Leader 1 2 3
Abby 10 16 32
Bovi 14 22 40
Claire 22 24 34
Develop a network representation of this problem.
Formulate the problem as a linear program.
Patel and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows.
Project Leader
Client 1
Client 2
Client 3
Jackson
10
16
32
Ellis
14
22
14
Smith
22
24
34
Formulate the problem as a linear program. (Express your answers in the form xij where xij is 1 if leader i is assigned to client j and 0 otherwise.) Then solve:
Relationship
Value
Time (Days)
x11
x12
x13
x21
x22
x23
x31
x32
x33
Chapter 10 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10P
Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.4 - Prob. 16PCh. 10.5 - Prob. 17PCh. 10.5 - Prob. 18PCh. 10.5 - Prob. 19PCh. 10.5 - Prob. 20PCh. 10.5 - Prob. 21PCh. 10.6 - Prob. 22PCh. 10.6 - Prob. 23PCh. 10.6 - Prob. 24PCh. 10.6 - Prob. 25PCh. 10 - Prob. 26APCh. 10 - Prob. 27APCh. 10 - Prob. 28APCh. 10 - Prob. 29APCh. 10 - Prob. 30AP
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