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From packing rules to cost-sharing mechanisms

Author

Listed:
  • Chenhao Zhang

    (Northwestern University)

  • Guochuan Zhang

    (Zhejiang University)

Abstract

Bin packing is one of the most fundamental problems in resource allocation. Most research on the classical bin packing problem has focused on the design and analysis of centralized packing rules. However, such rules are often infeasible to implement in distributed and decentralized environments, for the sake of both unavailability of global information and incentive compatibility. In this paper, we revisit the cost-sharing mechanisms for selfish bin packing (SBP) in decentralized environments. We first propose a simple and intuitive mechanism with $$PoA=1.5$$ P o A = 1.5 . We then show that for a large class of mechanisms for the SBP, 1.5 is actually a lower bound of PoA. Based on this, we propose new rules for the SBP and design a new mechanism with $$PoA \le 22/15\approx 1.467$$ P o A ≤ 22 / 15 ≈ 1.467 .

Suggested Citation

  • Chenhao Zhang & Guochuan Zhang, 2022. "From packing rules to cost-sharing mechanisms," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1578-1593, October.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:3:d:10.1007_s10878-019-00519-6
    DOI: 10.1007/s10878-019-00519-6
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    References listed on IDEAS

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    1. Dosa, Gyorgy & Kellerer, Hans & Tuza, Zsolt, 2019. "Using weight decision for decreasing the price of anarchy in selfish bin packing games," European Journal of Operational Research, Elsevier, vol. 278(1), pages 160-169.
    2. Q. Q. Nong & T. Sun & T. C. E. Cheng & Q. Z. Fang, 2018. "Bin packing game with a price of anarchy of $$\frac{3}{2}$$ 3 2," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 632-640, February.
    3. Ruixin Ma & György Dósa & Xin Han & Hing-Fung Ting & Deshi Ye & Yong Zhang, 2013. "A note on a selfish bin packing problem," Journal of Global Optimization, Springer, vol. 56(4), pages 1457-1462, August.
    Full references (including those not matched with items on IDEAS)

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