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Stochastic Generalized Transportation Problem with discrete distribution of demand

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  • Marcin Anholcer

Abstract

The generalized transportation problem (GTP) allows us to model situations where the amount of goods leaving the supply points is not equal to the amount delivered to the destinations (this is the case, e.g. when fragile or perishable goods are transported or complaints may occur). A model of GTP with random, discretely distributed, demand has been presented. Each problem of this type can be transformed either into the form of a convex programming problem with a piecewise linear objective function, or a mixed integer LP problem. The method of solution presented uses ideas applied in the method of stepwise analysis of variables and in the equalization method.

Suggested Citation

  • 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.
    • Handle: RePEc:wut:journl:v:4:y:2013:p:9-19:id:1099
    DOI: 10.5277/ord130402
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    References listed on IDEAS

    as
    1. Liqun Qi, 1987. "The A -Forest Iteration Method for the Stochastic Generalized Transportation Problem," Mathematics of Operations Research, INFORMS, vol. 12(1), pages 1-21, February.
    2. Holmberg, Kaj & Jornsten, Kurt O., 1984. "Cross decomposition applied to the stochastic transportation problem," European Journal of Operational Research, Elsevier, vol. 17(3), pages 361-368, September.
    3. Janice R. Lourie, 1964. "Topology and Computation of the Generalized Transportation Problem," Management Science, INFORMS, vol. 11(1), pages 177-187, September.
    4. Egon Balas, 1966. "The Dual Method for the Generalized Transportation Problem," Management Science, INFORMS, vol. 12(7), pages 555-568, March.
    5. Fred Glover & D. Klingman & A. Napier, 1972. "Basic Dual Feasible Solutions for a Class of Generalized Networks," Operations Research, INFORMS, vol. 20(1), pages 126-136, February.
    6. repec:wut:journl:v:4:y:2012:id:1025 is not listed on IDEAS
    7. E. Balas & P. L. Ivanescu, 1964. "On the Generalized Transportation Problem," Management Science, INFORMS, vol. 11(1), pages 188-202, September.
    8. 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.
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