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CMA Intermediate · Operations Management and Strategic Management · Job Evaluation, Job Allocation - Assignment

In the standard assignment problem used in operations management, which condition must hold before the Hungarian method can be applied directly?

The cost matrix must be square, meaning the number of jobs equals the number of workers. The Hungarian method assigns one job to each worker. If the numbers are unequal, a dummy row or column with zero cost is added to make the matrix square before solving.

  1. AThe cost matrix must be square, with equal numbers of jobs and workersCorrect
  2. BThe number of jobs must exceed the number of workers
  3. CEvery worker must be able to do more than one job
  4. DThe total cost of all assignments must be equal

Explanation

The Hungarian method works on a square matrix so that each worker gets exactly one job. If the numbers differ, a dummy row or column with zero costs is added to balance it. The other options describe conditions that are not required.

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