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Optimal Two-Machine Orderings in the 3 × n Flow-Shop Problem

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  • Wlodzimierz Szwarc

    (University of Wisconsin, Milwaukee, Wisconsin)

Abstract

Consider the 3 × n flow-shop problem with machines A , B , and C . By AB and BC optimum we mean optimal solutions produced by Johnson's method for the two-machine problems AB and BC , respectively. Although not every permutation that is an AB and BC optimum simultaneously is an optimal solution of the entire problem, the set P of such permutations does contain an ABC optimum whenever it is not empty. We summarize known analytical results and solution procedures for the 3 × n flow-shop problem.

Suggested Citation

  • Wlodzimierz Szwarc, 1977. "Optimal Two-Machine Orderings in the 3 × n Flow-Shop Problem," Operations Research, INFORMS, vol. 25(1), pages 70-77, February.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:1:p:70-77
    DOI: 10.1287/opre.25.1.70
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