A Queueing Model for Web Server System

摘要

This paper proposes a probability model for a Web server system which is composed of an infinite-buffer main server and a finite-buffer auxiliary server. The system is modeled by the level-dependent quasi-birth-death (QBD) process. Utilizing the special structure of the infinitesimal generator, we convert the infinite level-dependent QBD into a finite level-independent QBD and develop a computational algorithm. Using this algorithm, we explore the operational characteristics of the proposed web-server model.