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Improved lower bounds for the online bin stretching problem

Author

Listed:
  • Michaël Gabay

    (Univ. Grenoble Alpes, CNRS, G-SCOP)

  • Nadia Brauner

    (Univ. Grenoble Alpes, CNRS, G-SCOP)

  • Vladimir Kotov

    (Belarusian State University)

Abstract

We use game theory techniques to automatically compute improved lower bounds on the competitive ratio for the bin stretching problem. Using these techniques, we improve the best lower bound for this problem to 19/14. We explain the technique and show that it can be generalized to compute lower bounds for any online or semi-online packing or scheduling problem.

Suggested Citation

  • Michaël Gabay & Nadia Brauner & Vladimir Kotov, 2017. "Improved lower bounds for the online bin stretching problem," 4OR, Springer, vol. 15(2), pages 183-199, June.
    • Handle: RePEc:spr:aqjoor:v:15:y:2017:i:2:d:10.1007_s10288-016-0330-2
    DOI: 10.1007/s10288-016-0330-2
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    Cited by:

    1. Leah Epstein, 2018. "A survey on makespan minimization in semi-online environments," Journal of Scheduling, Springer, vol. 21(3), pages 269-284, June.
    2. Islam Akaria & Leah Epstein, 2023. "Bin stretching with migration on two hierarchical machines," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 98(1), pages 111-153, August.

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