ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
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Abstract:
This paper presents the analysis of a renewal input finite buffer queue wherein the customers can decide either to join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed by an underlying $m$-state Markov chain. Employing the supplementary variable and imbedded Markov chain techniques, the steady-state 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.
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Journal title
volume 5 issue 2 (SPRING)
pages 173- 184
publication date 2015-03-21
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