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Online LPT algorithms for parallel machines scheduling with a single server

Author

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  • Chunjie Su

    (East China University of Science and Technology)

Abstract

We consider two parallel machines scheduling problems with a single server. For the general case we present an online LPT algorithm with competitive ratio 2, and give a lower bound $\frac{\sqrt{5} + 1}{2}$ . We also apply the online LPT algorithm to the special case where all the setup times are equal to 1. We show that the competitive ratio is 1.5, and no online algorithm can has a competitive ratio less than $\sqrt{2}$ .

Suggested Citation

  • Chunjie Su, 2013. "Online LPT algorithms for parallel machines scheduling with a single server," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 480-488, October.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:3:d:10.1007_s10878-011-9441-z
    DOI: 10.1007/s10878-011-9441-z
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    Cited by:

    1. Yiwei Jiang & Qinghui Zhang & Jueliang Hu & Jianming Dong & Min Ji, 2015. "Single-server parallel-machine scheduling with loading and unloading times," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 201-213, August.

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