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A note: Multi-machine scheduling with general position-based deterioration to minimize total load

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  • Mosheiov, Gur

Abstract

The majority of the papers dealing with scheduling deteriorating jobs ignores general deterioration forms, and considers only special cases. Moreover, most of these papers consider deterioration, most of these papers consider deterioration based on job starting times, and only a few study position-based deterioration. Finally, very few researchers focus on the measure of total load, which becomes important in a setting of deterioration on multi-machines. In this note, we study general, non-decreasing, job-dependent and position-dependent deterioration function. The machine setting is parallel identical machines, and the objective function is total load. We introduce a polynomial time solution for this problem.

Suggested Citation

  • Mosheiov, Gur, 2012. "A note: Multi-machine scheduling with general position-based deterioration to minimize total load," International Journal of Production Economics, Elsevier, vol. 135(1), pages 523-525.
    • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:523-525
    DOI: 10.1016/j.ijpe.2011.09.005
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    References listed on IDEAS

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    1. A A K Jeng & B M T Lin, 2007. "A note on parallel-machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(6), pages 824-826, June.
    2. Kang, Liying & Ng, C.T., 2007. "A note on a fully polynomial-time approximation scheme for parallel-machine scheduling with deteriorating jobs," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 180-184, September.
    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. Zhao, Chuan-Li & Tang, Heng-Yong, 2010. "Scheduling deteriorating jobs under disruption," International Journal of Production Economics, Elsevier, vol. 125(2), pages 294-299, June.
    5. 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.
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    Cited by:

    1. Baruch Mor & Gur Mosheiov, 2021. "A note: flowshop scheduling with linear deterioration and job-rejection," 4OR, Springer, vol. 19(1), pages 103-111, March.
    2. Sun, Lin-Hui & Sun, Lin-Yan & Wang, Ming-Zheng & Wang, Ji-Bo, 2012. "Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines," International Journal of Production Economics, Elsevier, vol. 138(1), pages 195-200.
    3. Gara-Ali, Ahmed & Finke, Gerd & Espinouse, Marie-Laure, 2016. "Parallel-machine scheduling with maintenance: Praising the assignment problem," European Journal of Operational Research, Elsevier, vol. 252(1), pages 90-97.

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