On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue. (19th March 2014)

• Record Type: Journal Article
• Authors: Liu, Renbin; Deng, Zhaohui
• Other Names: Piccardi Carlo Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2014(2014)
• Publication Date: 2014-03-19
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2014/924712
• Languages: English
• ISSNs: 1026-0226

Abstract

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.