A project needs to assign 4 people to 4 jobs so that the total cost of the assignment is minimum. Each job is to assign to only one person, and each person is be assigned with only one job. The following table gives the cost of a person completing a particular job: Job 1 3 Person A 19 5 4 5 В 4 3 5 16 C 3 1 3 2 D 4 16 4)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 62P
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A project needs to assign 4 people to 4 jobs so that the total cost of the assignment is
minimum. Each job is to assign to only one person, and each person is be assigned with
only one job. The following table gives the cost of a person completing a particular job:
Job
1
2
3
4
Person
A
19
5
4
4
3
16
C
3
3
2
D
2
4
16
Use branch-and-bound algorithm problem-solving strategy based on setting lower
bounds by row, find an assignment (one only) of the four jobs to the 4 people such that
the total cost of the assignment is optimal. Your state-space tree must have the minimum
number of nodes. You must number the node according to the order that you draw the
state-space tree.
Transcribed Image Text:A project needs to assign 4 people to 4 jobs so that the total cost of the assignment is minimum. Each job is to assign to only one person, and each person is be assigned with only one job. The following table gives the cost of a person completing a particular job: Job 1 2 3 4 Person A 19 5 4 4 3 16 C 3 3 2 D 2 4 16 Use branch-and-bound algorithm problem-solving strategy based on setting lower bounds by row, find an assignment (one only) of the four jobs to the 4 people such that the total cost of the assignment is optimal. Your state-space tree must have the minimum number of nodes. You must number the node according to the order that you draw the state-space tree.
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