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Safe scheduling: Setting due dates in single-machine problems

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  • Baker, Kenneth R.
  • Trietsch, Dan

Abstract

We consider single-machine stochastic scheduling models with due dates as decisions. In addition to showing how to satisfy given service-level requirements, we examine variations of a model in which the tightness of due-dates conflicts with the desire to minimize tardiness. We show that a general form of the trade-off includes the stochastic E/T model and gives rise to a challenging scheduling problem. We present heuristic solution methods based on static and dynamic sorting procedures. Our computational evidence identifies a static heuristic that routinely produces good solutions and a dynamic rule that is nearly always optimal. The dynamic sorting procedure is also asymptotically optimal, meaning that it can be recommended for problems of any size.

Suggested Citation

  • Baker, Kenneth R. & Trietsch, Dan, 2009. "Safe scheduling: Setting due dates in single-machine problems," European Journal of Operational Research, Elsevier, vol. 196(1), pages 69-77, July.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:1:p:69-77
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    References listed on IDEAS

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    1. Trietsch, Dan, 1993. "Scheduling flights at hub airports," Transportation Research Part B: Methodological, Elsevier, vol. 27(2), pages 133-150, April.
    2. Soroush, H. M., 1999. "Sequencing and due-date determination in the stochastic single machine problem with earliness and tardiness costs," European Journal of Operational Research, Elsevier, vol. 113(2), pages 450-468, March.
    3. 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.
    4. Soroush, H. M. & Fredendall, L. D., 1994. "The stochastic single machine scheduling problem with earliness and tardiness costs," European Journal of Operational Research, Elsevier, vol. 77(2), pages 287-302, September.
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    Citations

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    Cited by:

    1. Lemos, R.F. & Ronconi, D.P., 2015. "Heuristics for the stochastic single-machine problem with E/T costs," International Journal of Production Economics, Elsevier, vol. 168(C), pages 131-142.
    2. n/a, 2012. "Commentaries to "The Vital Role of Operations Analysis in Improving Healthcare Delivery"," Manufacturing & Service Operations Management, INFORMS, vol. 14(4), pages 495-511, October.
    3. Baker, Kenneth R., 2014. "Minimizing earliness and tardiness costs in stochastic scheduling," European Journal of Operational Research, Elsevier, vol. 236(2), pages 445-452.
    4. Vinod, V. & Sridharan, R., 2011. "Simulation modeling and analysis of due-date assignment methods and scheduling decision rules in a dynamic job shop production system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 127-146, January.
    5. Baker, Kenneth R. & Altheimer, Dominik, 2012. "Heuristic solution methods for the stochastic flow shop problem," European Journal of Operational Research, Elsevier, vol. 216(1), pages 172-177.
    6. Veera Babu Ramakurthi & Vijaya Kumar Manupati & Leonilde Varela & Goran Putnik, 2023. "Leveraging Blockchain to Support Collaborative Distributed Manufacturing Scheduling," Sustainability, MDPI, vol. 15(4), pages 1-23, February.
    7. Trietsch, Dan & Mazmanyan, Lilit & Gevorgyan, Lilit & Baker, Kenneth R., 2012. "Modeling activity times by the Parkinson distribution with a lognormal core: Theory and validation," European Journal of Operational Research, Elsevier, vol. 216(2), pages 386-396.
    8. M. Urgo & J. Váncza, 2019. "A branch-and-bound approach for the single machine maximum lateness stochastic scheduling problem to minimize the value-at-risk," Flexible Services and Manufacturing Journal, Springer, vol. 31(2), pages 472-496, June.
    9. Yue, Qing & Zhou, Shenghai, 2021. "Due-window assignment scheduling problem with stochastic processing times," European Journal of Operational Research, Elsevier, vol. 290(2), pages 453-468.

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