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An advanced dual algorithm with constraint relaxation for all‐integer programming

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  • Larry M. Austin
  • Parviz Ghandforoush

Abstract

In this article we present an all‐integer cutting plane algorithm called the Reduced Advanced Start Algorithm (RASA). The technique incorporates an infeasible advanced start based on the optimal solution to the LP relaxation, and initially discards nonbinding constraints in this solution. We discuss the results of computational testing on a set of standard problems and illustrate the operation of the algorithm with three small examples.

Suggested Citation

  • Larry M. Austin & Parviz Ghandforoush, 1983. "An advanced dual algorithm with constraint relaxation for all‐integer programming," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 30(1), pages 133-143, March.
    • Handle: RePEc:wly:navlog:v:30:y:1983:i:1:p:133-143
    DOI: 10.1002/nav.3800300110
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    Cited by:

    1. Robert M. Saltzman & Frederick S. Hillier, 1991. "An exact ceiling point algorithm for general integer linear programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 53-69, February.

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