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On ‘redundant’ constraints in Stafford's MILP model for the flowshop problem

Author

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  • E F Stafford

    (University of Alabama in Huntsville)

  • F T Tseng

    (University of Alabama in Huntsville)

Abstract

This paper investigates a claim that the 1988 Stafford mixed-integer linear programming model for the flowshop with permutation schedules contained a set of redundant constraints that could be eliminated without loss of model feasibility. This claim is shown to be incorrect mathematically and through the use of a counterexample problem. Eight additional problems were solved to confirm these findings.

Suggested Citation

  • E F Stafford & F T Tseng, 2003. "On ‘redundant’ constraints in Stafford's MILP model for the flowshop problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1102-1105, October.
  • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:10:d:10.1057_palgrave.jors.2601615
    DOI: 10.1057/palgrave.jors.2601615
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    References listed on IDEAS

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    1. Stafford, Edward F. & Tseng, Fan T., 2002. "Two models for a family of flowshop sequencing problems," European Journal of Operational Research, Elsevier, vol. 142(2), pages 282-293, October.
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    Cited by:

    1. E F Stafford & F T Tseng & J N D Gupta, 2005. "Comparative evaluation of MILP flowshop models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(1), pages 88-101, January.

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