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A Note on Deteriorating Jobs and Learning in Single-Machine Scheduling Problems

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  • Wen-Chiung Lee

    (Department of Statistics, Feng Chia University, Taiwan)

Abstract

In this note, we investigate the effects of deterioration and learning in single-machine scheduling problems. Although the learning effect and the concept of deteriorating jobs have been extensively studied, they have never been considered simultaneously. It is shown in several examples that the optimal schedule of the problem may be different from that of the classical one. Nevertheless, the makespan and the total flow time minimization problems remain polynomial solvable.

Suggested Citation

  • Wen-Chiung Lee, 2004. "A Note on Deteriorating Jobs and Learning in Single-Machine Scheduling Problems," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 3(1), pages 83-89, April.
    • Handle: RePEc:ijb:journl:v:3:y:2004:i:1:p:83-89
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    References listed on IDEAS

    as
    1. Gur Mosheiov, 1991. "V-Shaped Policies for Scheduling Deteriorating Jobs," Operations Research, INFORMS, vol. 39(6), pages 979-991, December.
    2. 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.
    3. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    4. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    5. Mosheiov, Gur, 2001. "Scheduling problems with a learning effect," European Journal of Operational Research, Elsevier, vol. 132(3), pages 687-693, August.
    6. Voutsinas, Theodore G. & Pappis, Costas P., 2002. "Scheduling jobs with values exponentially deteriorating over time," International Journal of Production Economics, Elsevier, vol. 79(3), pages 163-169, October.
    7. 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.
    8. Bachman, Aleksander & Janiak, Adam, 2000. "Minimizing maximum lateness under linear deterioration," European Journal of Operational Research, Elsevier, vol. 126(3), pages 557-566, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Xingong Zhang & Guangle Yan & Wanzhen Huang & Guochun Tang, 2011. "Single-machine scheduling problems with time and position dependent processing times," Annals of Operations Research, Springer, vol. 186(1), pages 345-356, June.
    2. Jun Pei & Xinbao Liu & Panos M. Pardalos & Athanasios Migdalas & Shanlin Yang, 2017. "Serial-batching scheduling with time-dependent setup time and effects of deterioration and learning on a single-machine," Journal of Global Optimization, Springer, vol. 67(1), pages 251-262, January.
    3. Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
    4. Jim (Junmin) Shi & Xiaohang Yue & Yao Zhao, 2014. "Operations sequencing for a multi‐stage production inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 144-154, March.
    5. J-B Wang, 2009. "Single machine scheduling with a time-dependent learning effect and deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(4), pages 583-586, April.
    6. W-H Kuo & D-L Yang, 2011. "A note on due-date assignment and single-machine scheduling with deteriorating jobs and learning effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 206-210, January.
    7. Jun Pei & Qingru Song & Baoyu Liao & Xinbao Liu & Panos M. Pardalos, 2021. "Parallel-machine serial-batching scheduling with release times under the effects of position-dependent learning and time-dependent deterioration," Annals of Operations Research, Springer, vol. 298(1), pages 407-444, March.
    8. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    9. Qian, Jianbo & Steiner, George, 2013. "Fast algorithms for scheduling with learning effects and time-dependent processing times on a single machine," European Journal of Operational Research, Elsevier, vol. 225(3), pages 547-551.
    10. Dar-Li Yang & Wen-Hung Kuo, 2009. "Single-machine scheduling with both deterioration and learning effects," Annals of Operations Research, Springer, vol. 172(1), pages 315-327, November.

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    More about this item

    Keywords

    scheduling; single machine; learning effect; deteriorating jobs;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

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