A load-balanced network with two servers

I.A. Kurkova

doi:10.1023/A:1010841517511

A load-balanced network with two servers

I.A. Kurkova

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	379-389
Number of pages	11
Journal	Queueing Systems
Volume	37
Issue number	4
DOIs	https://doi.org/10.1023/A:1010841517511
Publication status	Published - 2001

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title = "A load-balanced network with two servers",

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AB - 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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EP - 389

JO - Queueing Systems

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A load-balanced network with two servers

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