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Brief announcement: threshold load balancing in networks

Published: 22 July 2013 Publication History

Abstract

We study probabilistic protocols for concurrent threshold-based load balancing in networks. There are n resources or machines represented by nodes in an undirected graph and m >> n users that try to find an acceptable resource by moving along the edges of the graph. Users accept a resource if the load is below a threshold. Such thresholds have an intuitive meaning, e.g., as deadlines in a machine scheduling scenario, and they allow the design of protocols under strong locality constraints. When migration is partly controlled by resources and partly by users, our protocols obtain rapid convergence to a balanced state, in which all users are satisfied. We show that convergence is achieved in a number of rounds that is only logarithmic in m and polynomial in structural properties of the graph. Even when migration is fully controlled by users, we obtain similar results for convergence to approximately balanced states.

References

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H. Ackermann, S. Fischer, M. Hoefer, M. Schöngens. Distributed algorithms for QoS load balancing. Distrib. Comput., 23(5-6):321--330, 2011.
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P. Berenbrink, T. Friedetzky, L. Goldberg, P. Goldberg, Z. Hu, R. Martin. Distributed delfish load balancing. SIAM J. Comput., 37(4):1163--1181, 2007.
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P. Berenbrink, M. Hoefer, T. Sauerwald. Distributed selfish load balancing on networks. In Proc. SODA, pp. 1487--1497, 2011.
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R. Elsässer, B. Monien, S. Schamberger. Distributing unit size workload packages in heterogeneous networks. J. Graph Alg. Appl., 10(1):51--68, 2006.
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R. Elsässer, T. Sauerwald. Discrete Load Balancing is (Almost) as Easy as Continuous Load Balancing. In Proc. PODC, pp. 346--354, 2010.
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E. Even-Dar, Y. Mansour. Fast convergence of selfish rerouting. In Proc. SODA, pp. 772--781, 2005.
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S. Fischer, P. Mäahöonen, M. Schöngens, B. Vöocking. Load balancing for dynamic spectrum assignment with local information for secondary users. In Proc. DySPAN, 2008.
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Y. Rabani, A. Sinclair, R. Wanka. Local divergence of Markov chains and the analysis of iterative load balancing schemes. In Proc. FOCS, pp. 694--705, 1998.
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Cited By

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  • (2017)Tight Load Balancing Via Randomized Local Search2017 IEEE International Parallel and Distributed Processing Symposium (IPDPS)10.1109/IPDPS.2017.52(192-201)Online publication date: May-2017

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  1. Brief announcement: threshold load balancing in networks

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    cover image ACM Conferences
    PODC '13: Proceedings of the 2013 ACM symposium on Principles of distributed computing
    July 2013
    422 pages
    ISBN:9781450320658
    DOI:10.1145/2484239
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    New York, NY, United States

    Publication History

    Published: 22 July 2013

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    Author Tags

    1. distributed protocols
    2. load balancing
    3. random walks

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    PODC '13
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    PODC '13: ACM Symposium on Principles of Distributed Computing
    July 22 - 24, 2013
    Québec, Montréal, Canada

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    PODC '13 Paper Acceptance Rate 37 of 145 submissions, 26%;
    Overall Acceptance Rate 740 of 2,477 submissions, 30%

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    • (2017)Tight Load Balancing Via Randomized Local Search2017 IEEE International Parallel and Distributed Processing Symposium (IPDPS)10.1109/IPDPS.2017.52(192-201)Online publication date: May-2017

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