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The Dual Method for the Generalized Transportation Problem

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  • Egon Balas

    (Centre of Mathematical Statistics, Rumanian Academy, Bucharest)

Abstract

In this paper the dual method and the poly-\omega technique are specialized for the generalized transportation problem. A simple procedure is obtained for solving the parametric version of this problem, i.e. for passing from a solution optimal for given values of the parameters, to solutions optimal for other values of the parameters. This procedure is then extended to the case when not only the parameters change, but additional constraints appear. Finally, the procedure may be used as a general method for solving the usual (nonparametric) generalized transportation problem, and for this case a way is described for finding an initial (dual-feasible) solution.

Suggested Citation

  • Egon Balas, 1966. "The Dual Method for the Generalized Transportation Problem," Management Science, INFORMS, vol. 12(7), pages 555-568, March.
    • Handle: RePEc:inm:ormnsc:v:12:y:1966:i:7:p:555-568
    DOI: 10.1287/mnsc.12.7.555
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    Cited by:

    1. Marcin Anholcer, 2012. "Algorithm for the stochastic generalized transportation problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(4), pages 9-20.
    2. Marcin Anholcer, 2013. "Stochastic Generalized Transportation Problem with discrete distribution of demand," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 23(4), pages 9-19.
    3. V. Balachandran & G.L. Thompson, 1974. "An Operator Theory of Parametric Programming for the Generalized Transportation Problem, I : Basic Theory," Discussion Papers 67, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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