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A Note on Linear Programming and Integer Feasibility

Author

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  • Fred Glover

    (The University of Texas, Austin, Texas)

Abstract

This paper proves a theorem that provides new strategies for solving integer programming problems, based on finding certain types of basic solutions to linear programs. The theorem is motivated by and extends ideas of Cabot and Hurter. An integer programming method based on the theorem is outlined.

Suggested Citation

  • Fred Glover, 1968. "A Note on Linear Programming and Integer Feasibility," Operations Research, INFORMS, vol. 16(6), pages 1212-1216, December.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:6:p:1212-1216
    DOI: 10.1287/opre.16.6.1212
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    Cited by:

    1. Egon Balas & Sebastián Ceria & Milind Dawande & Francois Margot & Gábor Pataki, 2001. "Octane: A New Heuristic for Pure 0--1 Programs," Operations Research, INFORMS, vol. 49(2), pages 207-225, April.
    2. Saïd Hanafi & Raca Todosijević, 2017. "Mathematical programming based heuristics for the 0–1 MIP: a survey," Journal of Heuristics, Springer, vol. 23(4), pages 165-206, August.

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