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Showing 2004 · math.PRShow all
3 papers · 2 filters
math.PR2004★ 86 cited
Analytic urns
Philippe Flajolet, Joaquim Gabarro, Helmut Pekari
This article describes a purely analytic approach to urn models of the generalized or extended Pólya-Eggenberger type, in the case of two types of balls and constant ``balance,'' t…
math.PR2004★ 1 cited
Large deviations problems for star networks: the min policy
Franck Delcoigne, Arnaud de La Fortelle
We are interested in analyzing the effect of bandwidth sharing for telecommunication networks. More precisely, we want to calculate which routes are bottlenecks by means of large d…
math.PR2004★ 44 cited
Moments and tails in monotone-separable stochastic networks
Francois Baccelli, Sergey Foss
A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework, which was firs…