The stable configuration in acyclic preference-based systems

Fabien Mathieu 1, 2 Gheorghe Postelnicu 3 Julien Reynier 4
2 GANG - Networks, Graphs and Algorithms
LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications, Inria Paris-Rocquencourt
4 TREC - Theory of networks and communications
DI-ENS - Département d'informatique de l'École normale supérieure, ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt
Abstract : Acyclic preferences recently appeared as an elegant way to model many distributed systems. An acyclic instance admits a unique stable configuration, which can reveal the performance of the system. In this paper, we give the statistical properties of the stable configuration for three classes of acyclic preferences: node-based preferences, distance-based preferences, and random acyclic systems. Using random overlay graphs, we prove using mean-field and fluid-limit techniques that these systems have an asymptotically continuous independent rank distribution for a proper scaling, and the analytical solution is compared to simulations. These results provide a theoretical ground for validating the performance of bandwidth-based or proximity-based unstructured systems.
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[Research Report] RR-6628, INRIA. 2008, pp.26
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Dernière modification le : mardi 17 avril 2018 - 11:27:57
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  • HAL Id : inria-00318621, version 1
  • ARXIV : 0809.0833

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Fabien Mathieu, Gheorghe Postelnicu, Julien Reynier. The stable configuration in acyclic preference-based systems. [Research Report] RR-6628, INRIA. 2008, pp.26. 〈inria-00318621〉

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