ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS
محورهای موضوعی : فصلنامه ریاضی
Vijaya Laxmi Pikkala
1
()
Jyothsna Kanithi
2
()
کلید واژه: Finite buffer, Queue, Markovian service process, balking, Waiting-time,
چکیده مقاله :
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.
