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Open shop scheduling to minimize the number of late jobs

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  • Christos Koulamas
  • George J. Kyparisis

Abstract

We develop polynomial algorithms for several cases of the NP‐hard open shop scheduling problem of minimizing the number of late jobs by utilizing some recent results for the open shop makespan problem. For the two machine common due date problem, we assume that either the machines or the jobs are ordered. For the m machine common due date problem, we assume that one machine is maximal and impose a restriction on its load. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 525–532, 1998

Suggested Citation

  • Christos Koulamas & George J. Kyparisis, 1998. "Open shop scheduling to minimize the number of late jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(5), pages 525-532, August.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:5:p:525-532
    DOI: 10.1002/(SICI)1520-6750(199808)45:53.0.CO;2-5
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    References listed on IDEAS

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    1. C. Y. Liu & R. L. Bulfin, 1988. "Scheduling Open Shops with Unit Execution Times to Minimize Functions of Due Dates," Operations Research, INFORMS, vol. 36(4), pages 553-559, August.
    2. Sergey Sevast'janov, 1995. "Vector Summation in Banach Space and Polynomial Algorithms for Flow Shops and Open Shops," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 90-103, February.
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