Phase transition in a loss load sharing model

Abstract : In this paper we analyze the following loss network : when a customer arrives at a node of the network, it is served by this node if this one is not occuped, otherwise it is transmitted to some empty node where it will be served with another rate. For simplest systems of such type with very large number of nodes with global sharing we show the existence of second order phase transitions and present explicit formulas for probability characteristics. For local sharing, we study the case of the infinite network and present some convergence results, formulas for small and large loads are obtained.
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Rapport
[Research Report] RR-1602, INRIA. 1992
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https://hal.inria.fr/inria-00074958
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Soumis le : mercredi 24 mai 2006 - 17:04:02
Dernière modification le : samedi 17 septembre 2016 - 01:38:03
Document(s) archivé(s) le : dimanche 4 avril 2010 - 22:03:21

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  • HAL Id : inria-00074958, version 1

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Vadim A. Malyshev, Philippe Robert. Phase transition in a loss load sharing model. [Research Report] RR-1602, INRIA. 1992. 〈inria-00074958〉

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