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A Load-Balanced Network with Two Servers
Authors:Kurkova  IA
Institution:(1) Laboratoire de Probabilités et Modèles Aléatoires, Université Paris VI, B.C.188, 4, place Jussieu, 75252 Paris cedex 05, France
Abstract:A load-balanced network with two queues Q 1 and Q 2 is considered. Each queue receives a Poisson stream of customers at rate lambda i , i=1,2. In addition, a Poisson stream of rate lambda arrives to the system; the customers from this stream join the shorter of two queues. After being served in the ith queue, i=1,2, customers leave the system with probability 1–p i *, join the jth queue with probability p(i,j), j=1,2, and choose the shortest of two queues with probability p(i,{1,2}). We establish necessary and sufficient conditions for stability of the system.
Keywords:load-balanced network  stability  Markov chain  Lyapunov function
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