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Online Single Machine Scheduling to Minimize the Maximum Starting Time

Author

Listed:
  • Lingfa Lu

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China)

  • Liqi Zhang

    (College of Information and Management Science, Henan Agricultural University, Zhengzhou, Henan 450003, P. R. China)

Abstract

In this paper, we consider the online single machine scheduling problem to minimize the maximum starting time of the jobs. For the non-preemptive model, we show that there is no determined or randomized online algorithm with a bounded competitive ratio. For the preemption-resume model, we show that the well-known SRPT rule yields an optimal schedule. For the preemption-restart model, we show that any determined online algorithm has a competitive ratio of at least 2 and present an online algorithm with the best-possible competitive ratio of 2.

Suggested Citation

  • Lingfa Lu & Liqi Zhang, 2017. "Online Single Machine Scheduling to Minimize the Maximum Starting Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-9, October.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:05:n:s0217595917500221
    DOI: 10.1142/S0217595917500221
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    References listed on IDEAS

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    1. Edward J. Anderson & Chris N. Potts, 2004. "Online Scheduling of a Single Machine to Minimize Total Weighted Completion Time," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 686-697, August.
    2. E. L. Lawler, 1973. "Optimal Sequencing of a Single Machine Subject to Precedence Constraints," Management Science, INFORMS, vol. 19(5), pages 544-546, January.
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