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Reseaux generalises multiclasses avec synchronisations cycliques

Author

Listed:
  • Fourneau, J.-M.
  • Pekergin, N.
  • Verchere, D.

Abstract

Nous presentons un reseau de files d'attente generalise multiclasse ou un signal synchronise le service de plusieurs clients repartis sur une liste circulaire de files d'attente. Nous considerons uniquement des stations ayant une discipline de service temps partage (processor sharing). Nous prouvons que l'existence d'une solution a un systeme de point fixe implique une distribution de probabilites stationnaires a forme produit. Ces reseaux peuvent avoir des applications en analyse de performance ou en fiabilite car les signaux peuvent modeliser des synchronisations dans les systemes informatiques paralleles, des pertes de paquets dans les reseaux de communication ou des pannes provoquant la disparition des clients en service.

Suggested Citation

  • Fourneau, J.-M. & Pekergin, N. & Verchere, D., 1997. "Reseaux generalises multiclasses avec synchronisations cycliques," Papiers d'Economie Mathématique et Applications 97.77, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:fth:pariem:97.77
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    Keywords

    COMMUNICATION;

    JEL classification:

    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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