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Recent Advances in Linear Programming

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  • George B. Dantzig

    (The Rand Corporation)

Abstract

As interest grows rapidly in industry on the potentialities of mathematical programming techniques, it appears worthwhile to have a paper devoted to some of the more promising developments which may speed up the transition from interest to use. Three topics have been selected (in three sections that follow) which have recently come into prominence: uncertainty, combinatorial problems, and large scale systems. The reader will find in the course of their discussions that a survey--though perhaps not a systematic survey--has been made of current techniques in the linear programming field.

Suggested Citation

  • George B. Dantzig, 1956. "Recent Advances in Linear Programming," Management Science, INFORMS, vol. 2(2), pages 131-144, January.
    • Handle: RePEc:inm:ormnsc:v:2:y:1956:i:2:p:131-144
    DOI: 10.1287/mnsc.2.2.131
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    Cited by:

    1. Alan S. Manne, 1958. "A Target-Assignment Problem," Operations Research, INFORMS, vol. 6(3), pages 346-351, June.
    2. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.
    3. Pandey, Pooja & Punnen, Abraham P., 2007. "A simplex algorithm for piecewise-linear fractional programming problems," European Journal of Operational Research, Elsevier, vol. 178(2), pages 343-358, April.
    4. Karaca, Utku & Birbil, Ş. İlker & Aydın, Nurşen & Mullaoğlu, Gizem, 2023. "Masking primal and dual models for data privacy in network revenue management," European Journal of Operational Research, Elsevier, vol. 308(2), pages 818-831.

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