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Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness

Published: 11 October 2006 Publication History

Abstract

This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and the generalized T-policy (multiple server vacations). We derive the probability generating function of the queue length and the mean queue length. Then we verify our analytical results through simulation. We finally present computational experiences and compare the MAP queue with the Poisson queue.

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    cover image ACM Other conferences
    valuetools '06: Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
    October 2006
    638 pages
    ISBN:1595935045
    DOI:10.1145/1190095
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 11 October 2006

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    Author Tags

    1. MAP/G/1
    2. queue length
    3. workload control

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