RELAXATION METHODS FOR MINIMUM COST ORDINARY AND GENERALIZED NETWORK FLOW PROBLEMS.

Research output: Contribution to journalArticlepeer-review

103 Scopus citations

Abstract

We propose a new class of algorithms for linear cost network flow problems with and without gains. These algorithms are based on iterative improvement of a dual cost and operate in a manner that is reminiscent of coordinate ascent and Gauss-Seidel relaxation methods. We compare our coded implementations of these methods with mature state-of-the-art primal simplex and primal-dual codes, and find them to be several times faster on standard benchmark problems, and faster by an order of magnitude on large, randomly generated problems. Our experiments indicate that the speedup factor increases with problem dimension.

Original languageEnglish (US)
Pages (from-to)93-114
Number of pages22
JournalOperations Research
Volume36
Issue number1
DOIs
StatePublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research

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