A threshold quasi birth–death queuing model for web server system

A threshold quasi birth–death queuing model for web server system

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Article ID: iaor20063408
Country: South Korea
Volume: 30
Issue: 2
Start Page Number: 131
End Page Number: 142
Publication Date: Jun 2005
Journal: Journal of the Korean ORMS Society
Authors: ,
Keywords: queues: applications, markov processes, queues: theory
Abstract:

This paper proposes queueing models for a Web server system which is composed of an infinite-buffer main server and finite-buffer auxiliary server(s). The system is modeled by the level-dependent quasi-birth–death (QBD) process. Utilizing the special structure of the QBD, we convert the infinite level-dependent QBD into a finite level-independent QBD and compute the state probabilities. We then explore the operational characteristics of the proposed web-server models and draw some useful conclusions.

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