A Load-Balanced Network with Two Servers |
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Authors: | Kurkova IA |
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Institution: | (1) Laboratoire de Probabilités et Modèles Aléatoires, Université Paris VI, B.C.188, 4, place Jussieu, 75252 Paris cedex 05, France |
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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
i
, i=1,2. In addition, a Poisson stream of rate 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. |
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Keywords: | load-balanced network stability Markov chain Lyapunov function |
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