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Technical Note—A Vertex Ranking Procedure for Solving the Linear Fixed-Charge Problem

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  • Patrick McKeown

    (State University of New York, Albany, New York)

Abstract

Murty has suggested that the linear fixed-charge problem can be solved by ranking the vertices of the polyhedral constraint set according to their continuous objective values and then adding the fixed charges to determine an optimal solution. Several problems involving degeneracy and inequality constraints arise when one attempts to implement Murty's method directly. This note describes a method that uses the vertex ranking approach in conjunction with procedures that resolve these difficulties. We also give computational results.

Suggested Citation

  • Patrick McKeown, 1975. "Technical Note—A Vertex Ranking Procedure for Solving the Linear Fixed-Charge Problem," Operations Research, INFORMS, vol. 23(6), pages 1183-1191, December.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:6:p:1183-1191
    DOI: 10.1287/opre.23.6.1183
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    Cited by:

    1. Yixin Zhao & Torbjörn Larsson & Elina Rönnberg & Panos M. Pardalos, 2018. "The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation," Journal of Global Optimization, Springer, vol. 72(3), pages 517-538, November.
    2. Harold P. Benson, 1996. "Deterministic algorithms for constrained concave minimization: A unified critical survey," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 765-795, September.

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