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.
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.
MLA
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.
HARVARD
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.
VANCOUVER
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.
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