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Scheduling with Deteriorating Jobs and Non-Simultaneous Machine Available Times

Author

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  • Xuyin Wang

    (Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P. R. China†Business School, Northwest Normal University, Lanzhou 730070, P. R. China)

  • Xiangpei Hu

    (Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

  • Weiguo Liu

    (Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P. R. China†Business School, Northwest Normal University, Lanzhou 730070, P. R. China)

Abstract

In this paper, We deal with the scheduling problems with simple linear deterioration function on unrelated parallel-machine and identical parallel-machine. We assume that all the jobs (tasks) are available at time zero, but all machines (processors) may not be available simultaneously at time zero. The objective functions are to minimize the total logarithm of completion time, the total logarithm of machine load, the total absolute differences in logarithm completion times and the total absolute differences in logarithm waiting times respectively. We provide the polynomial-time algorithms to solve the problems under the proposed model respectively.

Suggested Citation

  • Xuyin Wang & Xiangpei Hu & Weiguo Liu, 2015. "Scheduling with Deteriorating Jobs and Non-Simultaneous Machine Available Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-13, December.
    • Handle: RePEc:wsi:apjorx:v:32:y:2015:i:06:n:s0217595915500499
    DOI: 10.1142/S0217595915500499
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    References listed on IDEAS

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    1. Ji, Min & Cheng, T.C.E., 2008. "Parallel-machine scheduling with simple linear deterioration to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 188(2), pages 342-347, July.
    2. Ji-Bo Wang & Jian-Jun Wang, 2015. "Research on scheduling with job-dependent learning effect and convex resource-dependent processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 53(19), pages 5826-5836, October.
    3. G Mosheiov, 2001. "Parallel machine scheduling with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(10), pages 1165-1169, October.
    4. Cheng, Mingbao & Tadikamalla, Pandu R. & Shang, Jennifer & Zhang, Shaqing, 2014. "Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs," European Journal of Operational Research, Elsevier, vol. 234(3), pages 650-657.
    5. John J. Kanet, 1981. "Minimizing Variation of Flow Time in Single Machine Systems," Management Science, INFORMS, vol. 27(12), pages 1453-1459, December.
    6. Xin-Jun Li & Jian-Jun Wang & Xue-Ru Wang, 2015. "Single-Machine Scheduling with Learning Effect, Deteriorating Jobs and Convex Resource Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-12.
    7. Uttarayan Bagchi, 1989. "Simultaneous Minimization of Mean and Variation of Flow Time and Waiting Time in Single Machine Systems," Operations Research, INFORMS, vol. 37(1), pages 118-125, February.
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    Cited by:

    1. Zhenyou Wang & Cai-Min Wei & Yuan-Yuan Lu, 2016. "Permutation Flow Shop Problem with Shortening Job Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-14, August.
    2. Zhenyou Wang & Cai-Min Wei & Yu-Bin Wu, 2016. "Single Machine Two-Agent Scheduling with Deteriorating Jobs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-17, October.

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