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Mathematical Problems in Engineering
Volume 2013, Article ID 679369, 5 pages
Research Article

A Two-Stage Model Queueing with No Waiting Line between Channels

1Department of Statistics, Ondokuz Mayıs University, 55139 Samsun, Turkey
2Department of Statistics, Amasya University, 05100 Amasya, Turkey

Received 5 December 2012; Revised 22 April 2013; Accepted 20 May 2013

Academic Editor: Suiyang Khoo

Copyright © 2013 Vedat Sağlam and Müjgan Zobu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 ( ) is exponential with parameter . 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.