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Online-bounded analysis

Author

Listed:
  • Joan Boyar

    (University of Southern Denmark)

  • Leah Epstein

    (University of Haifa)

  • Lene M. Favrholdt

    (University of Southern Denmark)

  • Kim S. Larsen

    (University of Southern Denmark)

  • Asaf Levin

    (The Technion)

Abstract

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance measures, in particular targeted at what seems to be the core problem with competitive analysis: The comparison of the performance of an online algorithm is made with respect to a too powerful adversary. We consider a new approach to restricting the power of the adversary, by requiring that when judging a given online algorithm, the optimal offline algorithm must perform at least as well as the online algorithm, not just on the entire final request sequence, but also on any prefix of that sequence. This is limiting the adversary’s usual advantage of being able to exploit that it knows the sequence is continuing beyond the current request. Through a collection of online problems, including machine scheduling, bin packing, dual bin packing, and seat reservation, we investigate the significance of this particular offline advantage.

Suggested Citation

  • Joan Boyar & Leah Epstein & Lene M. Favrholdt & Kim S. Larsen & Asaf Levin, 2018. "Online-bounded analysis," Journal of Scheduling, Springer, vol. 21(4), pages 429-441, August.
  • Handle: RePEc:spr:jsched:v:21:y:2018:i:4:d:10.1007_s10951-017-0536-y
    DOI: 10.1007/s10951-017-0536-y
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    References listed on IDEAS

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    1. Leah Epstein & Lene M. Favrholdt & Jens S. Kohrt, 2006. "Separating online scheduling algorithms with the relative worst order ratio," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 363-386, December.
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