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On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
Author(s) -
Renbin Liu,
Zhaohui Deng
Publication year - 2014
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2014/924712
Subject(s) - queue , steady state (chemistry) , queueing theory , computer science , probabilistic logic , work (physics) , renewal theory , mathematics , statistics , physics , computer network , chemistry , artificial intelligence , thermodynamics
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

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