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Online scheduling on a single machine with linear deteriorating processing times and delivery times

Author

Listed:
  • Xing Chai

    (Henan University of Technology
    Zhengzhou University)

  • Wenhua Li

    (Zhengzhou University)

  • Hang Yuan

    (State University of New York at Binghamton)

  • Libo Wang

    (Zhengzhou University)

Abstract

This paper considers a class of problems with linear deteriorating jobs. Jobs are released over time and become known to the online scheduler until their release times. Jobs are with deteriorating processing times or deteriorating delivery times. The objective is to minimize the time by which all jobs are delivered. We consider five different models on a single machine, and present an optimal online algorithm in competitiveness for each model, respectively.

Suggested Citation

  • Xing Chai & Wenhua Li & Hang Yuan & Libo Wang, 0. "Online scheduling on a single machine with linear deteriorating processing times and delivery times," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-13.
    • Handle: RePEc:spr:jcomop:v::y::i::d:10.1007_s10878-020-00557-5
    DOI: 10.1007/s10878-020-00557-5
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    References listed on IDEAS

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    1. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    2. 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.
    3. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    4. Jinjiang Yuan & Shisheng Li & Ji Tian & Ruyan Fu, 2009. "A best on-line algorithm for the single machine parallel-batch scheduling with restricted delivery times," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 206-213, February.
    5. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
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    Cited by:

    1. Wenqiang Dai & Meng Zheng & Xu Chen & Zhuolin Yang, 0. "Online economic ordering problem for deteriorating items with limited price information," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-23.
    2. Yong Zhang & Hong Lin & Lina Zheng & Xingyu Yang, 2022. "Adaptive online portfolio strategy based on exponential gradient updates," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 672-696, April.

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