Pikkala, V., Kanithi, J. (2015). ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS. International Journal of Mathematical Modelling & Computations, 5(2 (SPRING)), 173-184.
Vijaya Laxmi Pikkala; Jyothsna Kanithi. "ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS". International Journal of Mathematical Modelling & Computations, 5, 2 (SPRING), 2015, 173-184.
Pikkala, V., Kanithi, J. (2015). 'ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS', International Journal of Mathematical Modelling & Computations, 5(2 (SPRING)), pp. 173-184.
Pikkala, V., Kanithi, J. ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS. International Journal of Mathematical Modelling & Computations, 2015; 5(2 (SPRING)): 173-184.
ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
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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