Accession Number : AD0750254

Title :   An Efficient Minimal Cost Flow Algorithm.

Descriptive Note : Operations research rept.,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH DEPT OF INDUSTRIAL ENGINEERING

Personal Author(s) : Bennington,Gerald E.

Report Date : 07 JUN 1972

Pagination or Media Count : 28

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)

Descriptors :   (*LINEAR PROGRAMMING, ALGORITHMS), COSTS, NETWORKS, CONVEX SETS, MATHEMATICAL MODELS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE