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Single-machine scheduling with time window-dependent processing times

Author

Listed:
  • C Lahlou

    (IRCCyN—Ecole des Mines de Nantes)

  • S Dauzère-Pérès

    (Ecole des Mines de Saint-Etienne)

Abstract

In the one-machine scheduling problems analysed in this paper, the processing time of a job depends on the time at which the job is started. More precisely, the horizon is divided into time windows and with each one a coefficient is associated that is used to determine the actual processing time of a job starting in it. Two models are introduced, and one of them has direct connections with models considered in previous papers on scheduling problems with time-dependent processing times. Various computational complexity results are presented for the makespan criterion, which show that the problem is NP-hard, even with two time windows. Solving procedures are also proposed for some special cases.

Suggested Citation

  • C Lahlou & S Dauzère-Pérès, 2006. "Single-machine scheduling with time window-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 133-139, February.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:2:d:10.1057_palgrave.jors.2601931
    DOI: 10.1057/palgrave.jors.2601931
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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. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    3. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    4. Sundararaghavan, P. S. & Kunnathur, A. S., 1994. "Single machine scheduling with start time dependent processing times: Some solvable cases," European Journal of Operational Research, Elsevier, vol. 78(3), pages 394-403, November.
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