Analysis of Finite Buffer Renewal Input Queue with Balking and Markovian Service Process
نویسندگان
چکیده
This paper presents the analysis of a finite buffer renewal input queue wherein the customers can decide either to join the queue with a probability or to balk. The service process is Markovian service process (MSP ) governed by an underlyingm-state Markov chain. Employing the supplementary variable and embedded Markov chain techniques, the steadystate system length distributions at pre-arrival and arbitrary epochs are obtained. Based on the system length distributions, some performance measures of the model and waiting-time analysis are presented. Finally, numerical results are displayed to show the effect of model parameters on the key performance measures. Received:1 August 2014, Revised:9 December 2014, Accepted:6 Janurary 2015.
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