The Transhipment Problem with Inequality Restraints

Mack N. Leath and James E. Martin

American Journal of Agricultural Economics, 1966, vol. 48, issue 4_Part_I, 894-908

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.

Date: 1966
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