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Online scheduling of equal length jobs on unbounded parallel batch processing machines with limited restart

Author

Listed:
  • Hailing Liu

    (Zhengzhou University
    Henan Institute of Engineering)

  • Jinjiang Yuan

    (Zhengzhou University)

  • Wenjie Li

    (Luoyang Normal University)

Abstract

We consider the online scheduling of equal length jobs on unbounded parallel batch processing machines to minimize makespan with limited restart. In the problem $$m$$ m identical unbounded parallel batch processing machines are available to process the equal length jobs arriving over time. The processing batches are allowed limited restart. Here, “restart” means that a running task may be interrupted, losing all the work done on it, and the jobs in the interrupted task are then released and become independently unscheduled jobs, called restarted jobs. “Limited restart” means that only a running batch that contains no restarted jobs can be restarted. For this problem, we present a best possible online algorithm.

Suggested Citation

  • Hailing Liu & Jinjiang Yuan & Wenjie Li, 2016. "Online scheduling of equal length jobs on unbounded parallel batch processing machines with limited restart," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1609-1622, May.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:4:d:10.1007_s10878-015-9844-3
    DOI: 10.1007/s10878-015-9844-3
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    References listed on IDEAS

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    1. Xiaotie Deng & Chung Keung Poon & Yuzhong Zhang, 2003. "Approximation Algorithms in Batch Processing," Journal of Combinatorial Optimization, Springer, vol. 7(3), pages 247-257, September.
    2. Gouchuan Zhang & Xiaoqiang Cai & C.K. Wong, 2001. "On‐line algorithms for minimizing makespan on batch processing machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(3), pages 241-258, April.
    3. Chung Poon & Wenci Yu, 2005. "A Flexible On-line Scheduling Algorithm for Batch Machine with Infinite Capacity," Annals of Operations Research, Springer, vol. 133(1), pages 175-181, January.
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