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An Improved Online Algorithm for the Online Preemptive Scheduling of Equal-Length Intervals on a Single Machine with Lookahead

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  • Wenjie Li

    (School of Mathematical Sciences, Luoyang Normal University, Luoyang, Henan 471022, P. R. China†School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China)

  • Jinjiang Yuan

    (#x2020;School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China)

Abstract

This paper studies the online preemptive scheduling of equal-length intervals on a single machine with lookahead. Let p be the length (processing time) of all intervals. In the problem, at every time point t, online algorithms can foresee all the intervals that will arrive in the time segment (t,t + L) for a certain L. When L = p, Zheng et al. [Comput- ers & Operations Research, 2013] established a lower bound of 2 and provided an online algorithm with a competitive ratio of 3. In this paper, we provide for this problem an improved online algorithm with a competitive ratio of 2.

Suggested Citation

  • Wenjie Li & Jinjiang Yuan, 2015. "An Improved Online Algorithm for the Online Preemptive Scheduling of Equal-Length Intervals on a Single Machine with Lookahead," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-9, December.
    • Handle: RePEc:wsi:apjorx:v:32:y:2015:i:06:n:s0217595915500475
    DOI: 10.1142/S0217595915500475
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    References listed on IDEAS

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    1. Stanley P. Y. Fung & Chung Keung Poon & Feifeng Zheng, 2008. "Online interval scheduling: randomized and multiprocessor cases," Journal of Combinatorial Optimization, Springer, vol. 16(3), pages 248-262, October.
    2. Kovalyov, Mikhail Y. & Ng, C.T. & Cheng, T.C. Edwin, 2007. "Fixed interval scheduling: Models, applications, computational complexity and algorithms," European Journal of Operational Research, Elsevier, vol. 178(2), pages 331-342, April.
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    Cited by:

    1. Feifeng Zheng & Yuhong Chen & Ming Liu & Yinfeng Xu, 2022. "Competitive analysis of online machine rental and online parallel machine scheduling problems with workload fence," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1060-1076, September.

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