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Use of completely reduced matrices in solving transportation problems with fixed charges

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  • Paul S. Dwyer

Abstract

This paper shows how completely reduced matrices can be used in obtaining exact or approximate solutions to transportation problems with fixed charges. It does not treat methods for obtaining reduced matrices, which are available elsewhere, but it does discuss the problem of obtaining a completely reduced matrix, and then a general parametric solution to the primal problem, from any particular solution. Methods for obtaining particular solutions with determinacies of maximum order (solutions for the constant fixed charges problem) are then presented. The paper terminates with a discussion of methods which are useful in obtaining approximations to solutions of fixed charges problems with charges not constant.

Suggested Citation

  • Paul S. Dwyer, 1966. "Use of completely reduced matrices in solving transportation problems with fixed charges," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 13(3), pages 289-313, September.
    • Handle: RePEc:wly:navlog:v:13:y:1966:i:3:p:289-313
    DOI: 10.1002/nav.3800130306
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    Cited by:

    1. Sun, Minghe & Aronson, Jay E. & McKeown, Patrick G. & Drinka, Dennis, 1998. "A tabu search heuristic procedure for the fixed charge transportation problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 441-456, April.
    2. Erika Buson & Roberto Roberti & Paolo Toth, 2014. "A Reduced-Cost Iterated Local Search Heuristic for the Fixed-Charge Transportation Problem," Operations Research, INFORMS, vol. 62(5), pages 1095-1106, October.

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