OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 5 2 2015 03 21 ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS 173 184 EN Vijaya Laxmi Pikkala Jyothsna Kanithi Journal Article 2015 03 21 This paper presents the analysis of a renewal input finite buffer queue wherein the customers can decide either tojoin the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed by anunderlying $m$-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 thesystem 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.