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Single-machine scheduling with deteriorating jobs

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  • Wen-Hung Kuo
  • Dar-Li Yang

Abstract

In this article, we study a single-machine scheduling problem in which the processing time of a job is a nonlinear function of its basic processing time and starting time. The objectives are to minimise the makespan, the sum of weighted completion times and the sum of the kth powers of completion times. We show that the makespan minimisation problem can be solved in polynomial time. However, the total completion time and the sum of the kth powers of completion times minimisation problems can be solved in polynomial time in some cases. Besides, some useful properties are also provided for the sum of weighted completion times problem under certain conditions.

Suggested Citation

  • Wen-Hung Kuo & Dar-Li Yang, 2011. "Single-machine scheduling with deteriorating jobs," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(1), pages 132-139.
    • Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:132-139
    DOI: 10.1080/00207721003802263
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    Cited by:

    1. Min Ji & Chou-Jung Hsu & Dar-Li Yang, 2013. "Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 437-447, October.
    2. Liliana Grigoriu & Dirk Briskorn, 2017. "Scheduling jobs and maintenance activities subject to job-dependent machine deteriorations," Journal of Scheduling, Springer, vol. 20(2), pages 183-197, April.
    3. 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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