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Semi-online scheduling with known maximum job size on two uniform machines

Author

Listed:
  • Qian Cao

    (East China University of Science and Technology)

  • Zhaohui Liu

    (East China University of Science and Technology)

Abstract

In this paper, we investigate the semi-online scheduling problem with known maximum job size on two uniform machines with the speed ratio s≥1. The objective is to minimize the makespan. Two algorithms are presented, where the first is optimal for $1\leq s\leq\sqrt{2}$ , and the second is optimal for 1.559≤s≤2 and $s\ge \frac{3+\sqrt{17}}{2}$ . In addition, the improvement on lower bounds is made for $2

Suggested Citation

  • Qian Cao & Zhaohui Liu, 2010. "Semi-online scheduling with known maximum job size on two uniform machines," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 369-384, November.
    • Handle: RePEc:spr:jcomop:v:20:y:2010:i:4:d:10.1007_s10878-009-9214-0
    DOI: 10.1007/s10878-009-9214-0
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    References listed on IDEAS

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    1. Paul Mireault & James B. Orlin & Rakesh V. Vohra, 1997. "A Parametric Worst Case Analysis of the LPT Heuristic for Two Uniform Machines," Operations Research, INFORMS, vol. 45(1), pages 116-125, February.
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