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The Transhipment Problem with Inequality Restraints

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  • Mack N. Leath
  • James E. Martin

Abstract

This article presents selected hypothetical formulations of the transhipment problem. Examples are presented of the use of restraints, in the form of equalities and inequalities, on demands and supplies, and for restricting the quantity of a commodity which can be shipped at a given rate. The above concepts are then incorporated into a more general spatial equilibrium model, and the formulation and solution of a two-product, two-region, five-stage problem are presented. In this model all products compete for the limited storage space and processing facilities of each region, yet product identity is maintained throughout the system. The existence of multiple solutions for transportation problems is also considered, and alternate solutions to the above problem are presented. The flexibilities illustrated in formulating the hypothetical problems considered provide useful extensions to the conventional formulations of the transhipment problem.

Suggested Citation

  • Mack N. Leath & James E. Martin, 1966. "The Transhipment Problem with Inequality Restraints," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 48(4_Part_I), pages 894-908.
  • Handle: RePEc:oup:ajagec:v:48:y:1966:i:4_part_i:p:894-908.
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    File URL: http://hdl.handle.net/10.2307/1236620
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    Cited by:

    1. Cassidy, P.A. & McCarthy, W.O. & Toft, H.I., 1970. "An Application Of Spatial Analysis To Beef Slaughter Plant Location And Size, Queensland," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 14(1), pages 1-20, June.
    2. M T Lucas & D Chhajed, 2004. "Applications of location analysis in agriculture: a survey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 561-578, June.

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