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The dual method of solving the linear programming problem

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  • C. E. Lemke

Abstract

Many problems in logistics are capable of being formulated as linear programming problems. For example, one such problem is the so‐called transportation problem, which is concerned with obtaining the best way (in the sense of least time, or of least expense, etc.) of shipping stipulated quantities of materials from m origins to n destinations. This paper develops a new computational method of solving general linear programming problems.

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  • C. E. Lemke, 1954. "The dual method of solving the linear programming problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 36-47, March.
    • Handle: RePEc:wly:navlog:v:1:y:1954:i:1:p:36-47
    DOI: 10.1002/nav.3800010107
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    Cited by:

    1. Anh Ninh & Honggang Hu & David Allen, 2019. "Robust newsvendor problems: effect of discrete demands," Annals of Operations Research, Springer, vol. 275(2), pages 607-621, April.
    2. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
    3. Anh Ninh, 2021. "Robust newsvendor problems with compound Poisson demands," Annals of Operations Research, Springer, vol. 302(1), pages 327-338, July.
    4. Timo Berthold & Jakob Witzig, 2021. "Conflict Analysis for MINLP," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 421-435, May.
    5. Gerald Gamrath & Timo Berthold & Domenico Salvagnin, 2020. "An exploratory computational analysis of dual degeneracy in mixed-integer programming," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 241-261, October.

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