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Single-machine scheduling with an actual time-dependent learning effect

Author

Listed:
  • D-L Yang

    (National Formosa University)

  • W-H Kuo

    (National Formosa University)

Abstract

In this study, we introduce an actual time-dependent learning effect into single-machine scheduling problems. The actual time-dependent learning effect of a job is assumed to be a function of the total actual processing time of jobs scheduled in front of it. We introduce it into single-machine scheduling problems and we show that it remains polynomially solvable for three objectives, that is, minimizing the makespan, the total completion time and the sum of the kth power of completion times. We also provide a polynomial time solution to minimize the sum of the weighted completion times if jobs have agreeable weights.

Suggested Citation

  • D-L Yang & W-H Kuo, 2007. "Single-machine scheduling with an actual time-dependent learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1348-1353, October.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:10:d:10.1057_palgrave.jors.2602276
    DOI: 10.1057/palgrave.jors.2602276
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    References listed on IDEAS

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    1. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    2. 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.
    3. Kuo, Wen-Hung & Yang, Dar-Li, 2006. "Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1184-1190, October.
    4. 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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    Citations

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    Cited by:

    1. Wei Wei, 2019. "Single machine scheduling with stochastically dependent times," Journal of Scheduling, Springer, vol. 22(6), pages 677-689, December.
    2. Zhongyi Jiang & Fangfang Chen & Xiandong Zhang, 2022. "Single-machine scheduling problems with general truncated sum-of-actual-processing-time-based learning effect," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 116-139, January.
    3. Patricia Heuser & Peter Letmathe & Matthias Schinner, 2022. "Workforce planning in production with flexible or budgeted employee training and volatile demand," Journal of Business Economics, Springer, vol. 92(7), pages 1093-1124, September.
    4. Jiang, Zhongyi & Chen, Fangfang & Kang, Huiyan, 2013. "Single-machine scheduling problems with actual time-dependent and job-dependent learning effect," European Journal of Operational Research, Elsevier, vol. 227(1), pages 76-80.
    5. J-B Wang, 2010. "Single-machine scheduling with a sum-of-actual-processing-time-based learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 172-177, January.
    6. Zhongyi Jiang & Fangfang Chen & Xiandong Zhang, 2017. "Single-machine scheduling with times-based and job-dependent learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 809-815, July.
    7. Kai-biao Sun & Hong-xing Li, 2009. "Some single-machine scheduling problems with actual time and position dependent learning effects," Fuzzy Information and Engineering, Springer, vol. 1(2), pages 161-177, June.
    8. 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.
    9. Wen-Hung Kuo, 2012. "Single-machine group scheduling with time-dependent learning effect and position-based setup time learning effect," Annals of Operations Research, Springer, vol. 196(1), pages 349-359, July.
    10. 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.
    11. Heuser, Patricia & Tauer, Björn, 2023. "Single-machine scheduling with product category-based learning and forgetting effects," Omega, Elsevier, vol. 115(C).

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