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Scheduling jobs under an aging effect

Author

Listed:
  • A Janiak

    (Wrocław University of Technology)

  • R Rudek

    (Wrocław University of Technology)

Abstract

In this paper a scheduling problem that takes into consideration a phenomenon called ‘aging effect’ with reference to Computer Numerical Control drilling or cutting machines is investigated. In the aftermath of this effect an execution of jobs leads to a deterioration of a machine; thus processing times of jobs increase and the production facility becomes less efficient. However, it is highly desirable to minimize the negative influence of this effect. In general, it can be done by formulating such a problem in the scheduling context and optimizing an order of jobs to minimize the given criterion. Therefore, on this basis a makespan minimization problem on a single machine with release dates and the aging effect is formulated, where the job processing times are described by non-decreasing functions dependent on fatigue (wear) of machine. It is proved that even the special cases of the problem are NP-hard. Moreover, some problems equivalences are shown and polynomially solvable cases are also provided.

Suggested Citation

  • A Janiak & R Rudek, 2010. "Scheduling jobs under an aging effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1041-1048, June.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:6:d:10.1057_jors.2009.30
    DOI: 10.1057/jors.2009.30
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    References listed on IDEAS

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    6. W-H Kuo & D-L Yang, 2008. "Minimizing the makespan in a single-machine scheduling problem with the cyclic process of an aging effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 416-420, March.
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    Cited by:

    1. Yang, Dar-Li & Lai, Chien-Jung & Yang, Suh-Jenq, 2014. "Scheduling problems with multiple due windows assignment and controllable processing times on a single machine," International Journal of Production Economics, Elsevier, vol. 150(C), pages 96-103.
    2. Peng Liu & Xiaoli Wang, 2017. "Maximum Lateness Scheduling on Two-Person Cooperative Games with Variable Processing Times and Common Due Date," Journal of Optimization, Hindawi, vol. 2017, pages 1-7, April.
    3. 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.
    4. Radosław Rudek, 2012. "Scheduling problems with position dependent job processing times: computational complexity results," Annals of Operations Research, Springer, vol. 196(1), pages 491-516, July.
    5. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Scheduling deteriorating jobs with CON/SLK due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 131(2), pages 747-751, June.

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