A Successive Shortest Path Algorithm for The Assignment Problem

Abstract : In this paper a new successive shortest path (SSP) algorithm for solving the assignment problem is introduced. A computer implementation of this algorithm has been developed and a discussion of the details of this implementation is provided. Computational results are presented which show this implementation of SSP to be substantially more efficient than several recently developed codes including the best primal simplex code. Also, some new theoretical results are presented which are useful in the implementation of SSP, and it is shown that the algorithm has a computational bound of O(n3), where n is the number of origins. (Author)