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Competitive Analysis of Organization Networks or Multicast Acknowledgment: How Much to Wait?

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Abstract

We study, from the perspective of competitive analysis, the trade-off between communication cost and delay cost, or simply the send-or-wait dilemma on a hierarchical rooted tree. The problem is an abstraction of the message aggregation problem on communication networks and an organizational problem in network hierarchies.

We consider the most natural variant of the problem, the distributed asynchronous regime, and give tight (within a small additive constant) upper and lower bounds on the competitive ratio of the optimization problem. We also consider the centralized version of the problem, in which there is a central entity which remains updated about any incoming messages to the network and which can control the internal delivery of messages in the network. For the centralized setting, we combine a natural rent-to-buy strategy with prediction techniques to achieve the first constant competitive ratio algorithm for any non-trivial class of network topologies.

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Authors and Affiliations

  1. Departamento de Computação, Universidade Federal do Ceará, Fortaleza, Brazil

    Carlos Fisch Brito

  2. Department of Computer Science, University of Athens Panepistimiopolis, Ilissia Athens, 15784, Greece

    Elias Koutsoupias

  3. Department of Computer Science and Engineering, Indian Institute of Technology, Patna, 800013, India

    Shailesh Vaya

Authors
  1. Carlos Fisch Brito
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  2. Elias Koutsoupias
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  3. Shailesh Vaya
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Corresponding author

Correspondence to Shailesh Vaya.

Additional information

Most of the research in this work was conducted while the authors were at UCLA.

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Brito, C.F., Koutsoupias, E. & Vaya, S. Competitive Analysis of Organization Networks or Multicast Acknowledgment: How Much to Wait?. Algorithmica 64, 584–605 (2012). https://doi.org/10.1007/s00453-011-9567-5

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  • DOI: https://doi.org/10.1007/s00453-011-9567-5

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