A load-balanced network with two servers

I.A. Kurkova

    Research output: Contribution to journalArticleAcademicpeer-review

    8 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 languageEnglish
    Pages (from-to)379-389
    Number of pages11
    JournalQueueing Systems: Theory and Applications
    Volume37
    Issue number4
    DOIs
    Publication statusPublished - 2001

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