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An Algorithm for the Generalized Transportation Problem

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  • James G. MacKinnon

Abstract

This paper describes a new computational technique for solving spatial economic equilibrium problems which are generalizations of the classical transportation problem. Existing algorithms employ quadratic programming, and they therefore require that demand and supply functions are linear. By contrast, the algorithm of this paper can handle nonlinear or even semi-continuous demand and supply relationships. It can also handle non-constant transport costs and other complications. The technique is capable of yielding highly accurate solutions, and it appears to be computationally efficient on problems of reasonable size.

Suggested Citation

  • James G. MacKinnon, 1975. "An Algorithm for the Generalized Transportation Problem," Working Paper 184, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:184
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    Cited by:

    1. Vancroonenburg, Wim & Della Croce, Federico & Goossens, Dries & Spieksma, Frits C.R., 2014. "The Red–Blue transportation problem," European Journal of Operational Research, Elsevier, vol. 237(3), pages 814-823.
    2. Moschini, Giancarlo & Meilke, Karl D., 1987. "An Analysis of Spatial Price Differences in the North-American Livestock Sector," Working Papers 243878, Agriculture and Agri-Food Canada.
    3. MacAulay, T. Gordon & Batterham, Robert L. & Fisher, Brian S., 1989. "Solution Of Spatial Trading Systems With Concave Cubic Programming," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 33(3), pages 1-17, December.
    4. Rowse, John, 1980. "1. On User Solution Strategy for Mixed-Integer Linear Programming Models 2. On the Solution of Spatial Price and Allocation Models," Queen's Institute for Economic Research Discussion Papers 275172, Queen's University - Department of Economics.
    5. Paggi, Mechel & Fuller, Stephen & Grant, Warren R., 1987. "Cargo Preference: Its Impact on the U.S. Wheat Sector," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 28(1).
    6. Li, Xinyan & Xie, Chi & Bao, Zhaoyao, 2022. "A multimodal multicommodity network equilibrium model with service capacity and bottleneck congestion for China-Europe containerized freight flows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).

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