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Iteration Skipping in Primal Integer Programming

Author

Listed:
  • Larry R. Arnold

    (Tulane University, New Orleans, Louisiana)

  • Mandell Bellmore

    (Block McGibony and Associates, Silver Spring, Maryland)

Abstract

An examination of computational results using the simplified primal integer programming algorithm of G lover reveals the existence of long sequences of iterations following a specific pattern. This paper examines the structure of these sequences so that both the termination of a sequence and the tableau at that point can be predicted. It then constructs an algorithm that exploits this structure by performing the iterations of the sequence implicitly and presents computational results.

Suggested Citation

  • Larry R. Arnold & Mandell Bellmore, 1974. "Iteration Skipping in Primal Integer Programming," Operations Research, INFORMS, vol. 22(1), pages 129-136, February.
    • Handle: RePEc:inm:oropre:v:22:y:1974:i:1:p:129-136
    DOI: 10.1287/opre.22.1.129
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    Cited by:

    1. 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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