Question
The assignment problem is to assign n people to n jobs so that the total cost of the assignment is as small as possible. Consider
- The assignment problem is to assign n people to n jobs so that the total cost of the assignment is as small as possible. Consider the following instance of the assignment problem.
Job 1 | Job 2 | Job 3 | Job 4 | ||
9 | 3 | 8 | 9 | Person a | |
C= | 7 | 5 | 4 | 8 | Person b |
6 | 9 | 2 | 9 | Person c | |
8 | 7 | 9 | 5 | Person d | |
- Trace the backtracking algorithm to find an optimal assignment.
- Trace the best-first branch-and-bound algorithm with the bounding function based on matrix columns. (Note: The textbook solves the problem with the bounding function based on matrix rows).
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Part b 1 job 1 person a 9 person b 3 person c 8 person d 9 2 job 2 person a 7 person b 5 person c 4 person d 8 3 job 3 person a 6 person b 9 person c ...Get Instant Access to Expert-Tailored Solutions
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Get StartedRecommended Textbook for
Data Structures and Algorithm Analysis in Java
Authors: Mark A. Weiss
3rd edition
132576279, 978-0132576277
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