The Overtime Waiting Model for Web Server Performance Evaluation

Though the queuing model with impatient customer has been studied in the past decades, little is definitively known about the overtime waiting characteristics. In this paper, we present an overtime-waiting model for Web servers. This model is taken as a special case of the impatient customer, which quit when the waiting time is longer than a tolerable value. The pdf of the client response time is deduced for analysis of the model. By imposing the timeout threshold on the Web server, the system performance is derived. Finally, numerical results corroborate this analytic model.