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: | Lee Ho Woo, Cho Eun-Sung |
Keywords: | queues: applications, markov processes, queues: theory |
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.