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New heuristics for flow shop problem to minimize makespan

Author

Listed:
  • D Bai

    (Northeastern University)

  • L Tang

    (Northeastern University)

Abstract

This paper investigates the flow shop problem with the objective to minimize makespan. New algorithms are designed: one is off-line heuristic, Single Job First, for problem F m ∥C max ; and the other is on-line heuristic, Dynamic Single Job First (DSJF), for problem F m |r i |C max and its on-line version. It is proved that the two heuristics are asymptotically optimal when the size of the problem is large enough. In addition, the asymptotical optimality of First-Come, First-Served manner is obtained as a byproduct of the asymptotical analysis of DSJF heuristic. At the end of the paper, a new lower bound with performance guarantee is provided for problem F m ∥C max , and computational experiments show the effectiveness of these heuristic algorithms.

Suggested Citation

  • D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:6:d:10.1057_jors.2009.44
    DOI: 10.1057/jors.2009.44
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    References listed on IDEAS

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