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Single-machine scheduling problems with the effects of learning and deterioration

Listed author(s):
  • Wang, Ji-Bo
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    In this paper, we consider the single-machine scheduling problems with the effects of learning and deterioration. By the effects of learning and deterioration, we mean that job processing times are defined by functions of their starting times and positions in the sequence. It is shown that even with the introduction of learning effect and deteriorating jobs to job processing times, single-machine makespan and sum of completion times (square) minimization problems remain polynomially solvable, respectively. But for the following objective functions: the weighted sum of completion times and the maximum lateness, this paper proves that the WSPT rule and the EDD rule can construct the optimal sequence under some special cases, respectively.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(05)00099-X
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    Article provided by Elsevier in its journal Omega.

    Volume (Year): 35 (2007)
    Issue (Month): 4 (August)
    Pages: 397-402

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    Handle: RePEc:eee:jomega:v:35:y:2007:i:4:p:397-402
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    1. Mosheiov, Gur & Sidney, Jeffrey B., 2003. "Scheduling with general job-dependent learning curves," European Journal of Operational Research, Elsevier, vol. 147(3), pages 665-670, June.
    2. Biskup, Dirk & Simons, Dirk, 2004. "Common due date scheduling with autonomous and induced learning," European Journal of Operational Research, Elsevier, vol. 159(3), pages 606-616, December.
    3. 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.
    4. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    5. 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.
    6. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    7. Bachman, Aleksander & Janiak, Adam, 2000. "Minimizing maximum lateness under linear deterioration," European Journal of Operational Research, Elsevier, vol. 126(3), pages 557-566, November.
    8. Mosheiov, Gur, 2001. "Scheduling problems with a learning effect," European Journal of Operational Research, Elsevier, vol. 132(3), pages 687-693, August.
    9. W. Townsend, 1978. "The Single Machine Problem with Quadratic Penalty Function of Completion Times: A Branch-and-Bound Solution," Management Science, INFORMS, vol. 24(5), pages 530-534, January.
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