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

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  • V. Srinivasan
  • G. L. Thompson

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.

Suggested Citation

  • V. Srinivasan & G. L. Thompson, 1972. "An operator theory of parametric programming for the transportation problem‐II," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(2), pages 227-252, June.
    • Handle: RePEc:wly:navlog:v:19:y:1972:i:2:p:227-252
    DOI: 10.1002/nav.3800190203
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    Cited by:

    1. S. Raghavan & Michael O. Ball & Vinai S. Trichur, 2002. "Bicriteria product design optimization: An efficient solution procedure using AND/OR trees," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(6), pages 574-592, September.

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