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Rapport (Rapport De Recherche) Année : 2008

The stable configuration in acyclic preference-based systems

Résumé

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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Dates et versions

inria-00318621 , version 1 (04-09-2008)

Identifiants

  • HAL Id : inria-00318621 , version 1
  • ARXIV : 0809.0833

Citer

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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