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A New Foundation for a Simplified Primal Integer Programming Algorithm

Author

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  • Fred Glover

    (University of Texas, Austin, Texas)

Abstract

Following the approach underlying the Pseudo Primal-Dual Integer Programming Algorithm, a new foundation for a simplified primal integer programming algorithm is given. In addition, new choice rules are prescribed which guarantee finite convergence, and a criterion of optimality is introduced that permits the algorithm to terminate before dual feasibility is achieved.

Suggested Citation

  • Fred Glover, 1968. "A New Foundation for a Simplified Primal Integer Programming Algorithm," Operations Research, INFORMS, vol. 16(4), pages 727-740, August.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:4:p:727-740
    DOI: 10.1287/opre.16.4.727
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    Cited by:

    1. Manfred Padberg, 2005. "Classical Cuts for Mixed-Integer Programming and Branch-and-Cut," Annals of Operations Research, Springer, vol. 139(1), pages 321-352, October.
    2. Santanu S. Dey & Jean-Philippe Richard, 2009. "Linear-Programming-Based Lifting and Its Application to Primal Cutting-Plane Algorithms," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 137-150, February.

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