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Single-machine scheduling with waiting-time-dependent due dates

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  • Koulamas, Christos
  • Kyparisis, George J.

Abstract

We consider a single-machine scheduling problem in which due dates are linear functions of the job waiting-times and the objective is to minimize the maximum lateness. An optimal sequence is constructed by implementing an index-based priority rule for a fixed value of the due date normalizing constant k. We determine in polynomial time all the k value ranges so that the optimal sequence remains the same within each range. The optimal due dates are computed as linear functions of the global optimal value of k. The overall procedure is illustrated in a numerical example.

Suggested Citation

  • Koulamas, Christos & Kyparisis, George J., 2008. "Single-machine scheduling with waiting-time-dependent due dates," European Journal of Operational Research, Elsevier, vol. 191(2), pages 577-581, December.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:2:p:577-581
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    References listed on IDEAS

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    1. James K. Weeks, 1979. "A Simulation Study of Predictable Due-Dates," Management Science, INFORMS, vol. 25(4), pages 363-373, April.
    2. Cheng, T. C. E. & Gupta, M. C., 1989. "Survey of scheduling research involving due date determination decisions," European Journal of Operational Research, Elsevier, vol. 38(2), pages 156-166, January.
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    Cited by:

    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. MLINAR, Tanja B. & CHEVALIER, Philippe, 2013. "Pooling in manufacturing: do opposites attract?," LIDAM Discussion Papers CORE 2013040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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