On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue

Renbin Liu and Zhaohui Deng

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-9

Abstract:

This paper studies a discrete-time N-policy Geo/G/1 queueing system with feedback and repairable server. With a probabilistic analysis method and renewal process theory, the steady-state system size distribution is derived. Further, the steady-state system size distribution derived in this work is extremely suitable for numerical calculations. Numerical example illustrates the important application of steady-state system size distribution in system capacity design for a network access proxy system.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:924712

DOI: 10.1155/2014/924712

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