 Analysis of M [X] /G/1 retrial queue with two phase service under Bernoulli vacation schedule and random breakdownP. Rajadurai, M. Varalakshmi, M.C. Saravanarajan and V.M. Chandrasekaran International Journal of Mathematics in Operational Research, 2015, vol. 7, issue 1, 19-41 Abstract: This paper investigates the steady state behaviour of an M[X]/G/1 retrial queue with two phases of service under Bernoulli vacation schedule and breakdown. Any arriving batch finding the server busy, breakdown or on vacation enters an orbit. Otherwise one customer from the arriving batch enters the service immediately while the rest join the orbit. After completion of each two phases of service, the server either goes for a vacation with probability p or may wait for serving the next customer with probability (1-p). While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. We construct the mathematical model and derive the probability generating functions of number of customers in the system when it is idle, busy, on vacation and under repair. Some system performances are obtained. Keywords: batch arrival; retrial queues; Bernoulli vacation; random breakdowns; stochastic decomposition; two phase services; mathematical modelling. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:7:y:2015:i:1:p:19-41 Access Statistics for this article More articles in International Journal of Mathematics in Operational Research from Inderscience Enterprises Ltd |
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