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

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  • Renbin Liu
  • Zhaohui Deng

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.

Suggested Citation

  • Renbin Liu & Zhaohui Deng, 2014. "On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnddns:924712
    DOI: 10.1155/2014/924712
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