The Hungarian method for the assignment problem
Harold William Kuhn
Abstract
Harold William Kuhn
Abstract
Abstract Assuming that numerical scores are available for the performance of each of n persons on each of n jobs, the “assignment problem” is the quest for an assignment of persons to jobs so that the sum of the n scores so obtained is as large as possible. It is shown that ideas latent in the work of two Hungarian mathematicians may be exploited to yield a new method of solving this problem.
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Abstract Assuming that numerical scores are available for the performance of each of n persons on each of n jobs, the “assignment problem” is the quest for an assignment of persons to jobs so that the sum of the n scores so obtained is as large as possible. It is shown that ideas latent in the work of two Hungarian mathematicians may be exploited to yield a new method of solving this problem.
Key concepts: Assignment problem, Computer science, Hungarian algorithm, Yield (engineering), Work (physics), Mathematical optimization, Mathematics, Engineering