An operator theory of parametric programming for the transportation problem‐II

V. Srinivasan and G. L. Thompson

Naval Research Logistics Quarterly, 1972, vol. 19, issue 2, 227-252

Abstract: This paper investigates the effect on the optimum solution of a (capacitated) transportation problem when the data of the problem (the rim conditions‐i. e., the warehouse supplies and market demands‐, the per unit transportation costs and the upper bounds) are continuously varied as a (linear) function of a single parameter. Operators that effect the transformation of optimum solution associated with such data changes, are shown to be a product of basis preserving operators (described in the earlier paper) that operate on a sequence of adjacent basis structures. Algorithms are provided for both rim and cost operators. The paper concludes with a discussion of the economic and managerial interpretations of the operators.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:19:y:1972:i:2:p:227-252

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