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Optimal Elimination Methods in the m × n Flow-Shop Scheduling Problem

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  • Wlodzimierz Szwarc

    (University of Wisconsin-Milwaukee, Milwaukee, Wisconsin)

Abstract

For solving the flow-shop scheduling problem, this paper examines elimination techniques that reduce the set of solutions to a subset that must contain the optimal solution being sought. The paper shows (1) that the elimination method of Szwarc [ Naval Res. Log. Quart. 18, 295–305 (1971)] removes at least as many solutions as any other method, and is therefore optimal, and (2) how to construct a general counterexample to any procedure that removes more sequences than this optimal method.

Suggested Citation

  • Wlodzimierz Szwarc, 1973. "Optimal Elimination Methods in the m × n Flow-Shop Scheduling Problem," Operations Research, INFORMS, vol. 21(6), pages 1250-1259, December.
  • Handle: RePEc:inm:oropre:v:21:y:1973:i:6:p:1250-1259
    DOI: 10.1287/opre.21.6.1250
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    Cited by:

    1. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.

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