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A dynamic programming algorithm for the single-machine scheduling problem with release dates and deteriorating processing times

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  • Alberto Bosio
  • Giovanni Righini

Abstract

We consider a scheduling problem in which the processing time of each job deteriorates, i.e. it increases as time passes after the release date of the job. We present a dynamic programming algorithm coupled with upper bounding and lower bounding techniques to compute exact solutions. We report on problem instances of different size and we analyze the dependence between the ranges to which the data belong and the computing time. Copyright Springer-Verlag 2009

Suggested Citation

  • Alberto Bosio & Giovanni Righini, 2009. "A dynamic programming algorithm for the single-machine scheduling problem with release dates and deteriorating processing times," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(2), pages 271-280, May.
    • Handle: RePEc:spr:mathme:v:69:y:2009:i:2:p:271-280
    DOI: 10.1007/s00186-008-0258-1
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    References listed on IDEAS

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    1. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    2. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
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    Cited by:

    1. Chuanli Zhao & Hengyong Tang, 2016. "Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-10, December.
    2. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.

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