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Letter to the Editor—A Method for Obtaining the Optimal Dual Solution to a Linear Program Using the Dantzig-Wolfe Decomposition

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  • Warren E. Walker

    (Compuvisor, Inc., Ithaca, New York)

Abstract

It is well known that the dual variables of a linear program may be obtained easily if the simplex method is vised to solve the problem. This note shows how to obtain these dual variables if the problem is solved by using the Dantzig-Wolfe decomposition principle.

Suggested Citation

  • Warren E. Walker, 1969. "Letter to the Editor—A Method for Obtaining the Optimal Dual Solution to a Linear Program Using the Dantzig-Wolfe Decomposition," Operations Research, INFORMS, vol. 17(2), pages 368-370, April.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:2:p:368-370
    DOI: 10.1287/opre.17.2.368
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    Cited by:

    1. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    2. Stefan Irnich & Guy Desaulniers & Jacques Desrosiers & Ahmed Hadjar, 2010. "Path-Reduced Costs for Eliminating Arcs in Routing and Scheduling," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 297-313, May.
    3. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.

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