A two-stage model Queueing with no waiting line between channels

Abstract

We consider a new queuing model with sequential two stations (stages), single server at each station, where no queue is allowed at station 2 and with no restriction at station 1. There is a FCFS service discipline in which the input stream is Poisson having rate. The service time of any customer at server i (i = 1,2) is exponential with parameter i. The state probabilities and loss probability of this model are given. The performance measures are obtained and optimized, and, additionally, the model is simulated. The simulation results, exact results, and optimal results of the performance measures are numerically computed for different parameters. © 2013 Vedat Saǧlam and Müjgan Zobu.