An extension of the Munkres algorithm for the assignment problem to rectangular matrices

  • Authors:
  • François Bourgeois;Jean-Claude Lassalle

  • Affiliations:
  • CERN, Geneva, Switzerland;CERN, Geneva, Switzerland

  • Venue:
  • Communications of the ACM
  • Year:
  • 1971

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Abstract

The assignment problem, together with Munkres proposed algorithm for its solution in square matrices, is presented first. Then the authors develop an extension of this algorithm which permits a solution for rectangular matrices.Timing results obtained by using an adapted version of Silver's Algol procedure are discussed, and a relation between solution time and problem size is given.