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

1971Communications of the ACM引用 498
Matrix Theory and AlgorithmsAdvanced Optimization Algorithms ResearchPolynomial and algebraic computation

摘要

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.