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On-Line Scheduling a Batch Processing System to Minimize Total Weighted Job Completion Time

Author

Listed:
  • Bo Chen

    (University of Warwick)

  • Xiaotie Deng

    (City University of Hong Kong)

  • Wenan Zang

    (University of Hong Kong)

Abstract

Scheduling a batch processing system has been extensively studied in the last decade. A batch processing system is modelled as a machine that can process up to b jobs simultaneously as a batch. The scheduling problem involves assigning all n jobs to batches and determining the batch sequence in such a way that certain objective function of job completion times C j is minimized. In this paper, we address the scheduling problem under the on-line setting in the sense that we construct our schedule irrevocably as time proceeds and do not know of the existence of any job that may arrive later. Our objective is to minimize the total weighted completion time ∑w j C j. We provide a linear time on-line algorithm for the unrestrictive model (i.e., b ≥ n) and show that the algorithm is 10/3-competitive. For the restrictive model (i.e., b 0 for the original on-line scheduling problem. These two on-line algorithms are the first deterministic algorithms of constant performance guarantees.

Suggested Citation

  • Bo Chen & Xiaotie Deng & Wenan Zang, 2004. "On-Line Scheduling a Batch Processing System to Minimize Total Weighted Job Completion Time," Journal of Combinatorial Optimization, Springer, vol. 8(1), pages 85-95, March.
    • Handle: RePEc:spr:jcomop:v:8:y:2004:i:1:d:10.1023_b:joco.0000021939.01674.1f
    DOI: 10.1023/B:JOCO.0000021939.01674.1f
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    References listed on IDEAS

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    Cited by:

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    2. Nong, Qingqin & Yuan, Jinjiang & Fu, Ruyan & Lin, Lin & Tian, Ji, 2008. "The single-machine parallel-batching on-line scheduling problem with family jobs to minimize makespan," International Journal of Production Economics, Elsevier, vol. 111(2), pages 435-440, February.
    3. Christoph Hertrich & Christian Weiß & Heiner Ackermann & Sandy Heydrich & Sven O. Krumke, 2022. "Online algorithms to schedule a proportionate flexible flow shop of batching machines," Journal of Scheduling, Springer, vol. 25(6), pages 643-657, December.
    4. Ma, Ran & Wan, Long & Wei, Lijun & Yuan, Jinjiang, 2014. "Online bounded-batch scheduling to minimize total weighted completion time on parallel machines," International Journal of Production Economics, Elsevier, vol. 156(C), pages 31-38.

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