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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

  1. 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 1Job 2Job 3Job 4
9389Person a
C=7548Person b
6929Person c
8795Person d
  1. Trace the backtracking algorithm to find an optimal assignment.
  2. 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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