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Online Scheduling with Delivery Time on a Bounded Parallel Batch Machine with Limited Restart

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Listed:
  • Hailing Liu
  • Long Wan
  • Zhigang Yan
  • Jinjiang Yuan

Abstract

We consider the online (over time) scheduling of equal length jobs on a bounded parallel batch machine with batch capacity to minimize the time by which all jobs have been delivered with limited restart. Here, “restart” means that a running batch may be interrupted, losing all the work done on it, and jobs in the interrupted batch are then released and become independently unscheduled jobs, called restarted jobs. “Limited restart” means that a running batch which contains some restarted jobs cannot be restarted again. When , we propose a best possible online algorithm with a competitive ratio of , where is the positive solution of . When , we present a best possible online algorithm with a competitive ratio of , where is the positive solution of .

Suggested Citation

  • Hailing Liu & Long Wan & Zhigang Yan & Jinjiang Yuan, 2015. "Online Scheduling with Delivery Time on a Bounded Parallel Batch Machine with Limited Restart," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, July.
    • Handle: RePEc:hin:jnlmpe:628254
    DOI: 10.1155/2015/628254
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