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An auxiliary server threshold queueing model and its application to the operational characteristics of web server system
Authors:Ho Woo Lee  Eun-sung Cho
Affiliation:1. Department of Systems Management Engineering, Sungkyunkwan University, Su Won 440-746, Republic of Korea;2. Information and Communications Security Lab., School of Information and Communications Engineering, Sungkyunkwan University, Su Won 440-746, Republic of Korea
Abstract:This paper analyzes an auxiliary server queueing model in which secondary servers are added to the main server(s) when the queue length exceeds some predetermined threshold value at the main queue. We model this system by the level-dependent quasi-birth-death (QBD) process and develop computation algorithms. We apply this model to the web-server system to explore some specific operational characteristics and draw some useful conclusions.
Keywords:Auxiliary server system   QBD   Web-server
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