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Worst-case analysis of non-cooperative load balancing

Author

Listed:
  • Olivier Brun

    (CNRS
    Université de Toulouse)

  • Balakrishna Prabhu

    (CNRS
    Université de Toulouse)

Abstract

We investigate the impact of heterogeneity in the amount of incoming traffic routed by dispatchers in a non-cooperative load balancing game. For a fixed amount of total incoming traffic, we show that for a broad class of cost functions the worst-case social cost occurs when each dispatcher routes the same amount of traffic, that is, the game is symmetric. Using this result, we give lower bounds on the Price of Anarchy for (i) cost functions that are polynomial on server loads; and (ii) cost functions representing the mean delay of the shortest remaining processing time service discipline.

Suggested Citation

  • Olivier Brun & Balakrishna Prabhu, 2016. "Worst-case analysis of non-cooperative load balancing," Annals of Operations Research, Springer, vol. 239(2), pages 471-495, April.
    • Handle: RePEc:spr:annopr:v:239:y:2016:i:2:d:10.1007_s10479-014-1747-7
    DOI: 10.1007/s10479-014-1747-7
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    2. Roberto Cominetti & José R. Correa & Nicolás E. Stier-Moses, 2009. "The Impact of Oligopolistic Competition in Networks," Operations Research, INFORMS, vol. 57(6), pages 1421-1437, December.
    3. Apostolos Burnetas, 2013. "Customer equilibrium and optimal strategies in Markovian queues in series," Annals of Operations Research, Springer, vol. 208(1), pages 515-529, September.
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    Cited by:

    1. Ghosh, Souvik & Hassin, Refael, 2021. "Inefficiency in stochastic queueing systems with strategic customers," European Journal of Operational Research, Elsevier, vol. 295(1), pages 1-11.

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