An Efficient Minimal Cost Flow Algorithm.

Abstract

One of the methods of solving the minimal cost flow problem is to find cycles of negative length in a marginal cost network. These negative cycles indicate a change in the flows around the cycle, which will result in a reduction in the total cost. The proposed method finds negative cycles by attempting to find the shortest chains from a fixed node to all other nodes. Results of computational experiments comparing this algorithm with the out-of-kilter algorithm are presented. These results indicate that the proposed method of repetitively detecting negative cycles yields an efficient minimal cost flow algorithm. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 07, 1972
Accession Number
AD0750254

Entities

People

  • Gerald E. Bennington

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Algorithms

Fields of Study

  • Computer science

Readers

  • Operations Research