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The price of atomic selfish ring routing

Author

Listed:
  • Bo Chen

    (University of Warwick)

  • Xujin Chen

    (Chinese Academy of Sciences)

  • Xiaodong Hu

    (Chinese Academy of Sciences)

Abstract

We study selfish routing in ring networks with respect to minimizing the maximum latency. Our main result is an establishment of constant bounds on the price of stability (PoS) for routing unsplittable flows with linear latency. We show that the PoS is at most 6.83, which reduces to 4.57 when the linear latency functions are homogeneous. We also show the existence of a (54,1)-approximate Nash equilibrium. Additionally we address some algorithmic issues for computing an approximate Nash equilibrium.

Suggested Citation

  • Bo Chen & Xujin Chen & Xiaodong Hu, 2010. "The price of atomic selfish ring routing," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 258-278, April.
    • Handle: RePEc:spr:jcomop:v:19:y:2010:i:3:d:10.1007_s10878-008-9171-z
    DOI: 10.1007/s10878-008-9171-z
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    References listed on IDEAS

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    1. José R. Correa & Andreas S. Schulz & Nicolás E. Stier-Moses, 2007. "Fast, Fair, and Efficient Flows in Networks," Operations Research, INFORMS, vol. 55(2), pages 215-225, April.
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    Cited by:

    1. Wenjie Wang & Lei Xie, 2022. "Optimal pricing of crowdsourcing logistics services with social delivery capacity," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1447-1469, July.

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