Header menu link for other important links
X
A batch arrival retrial queue with K-optional stages of service, bernoulli feedback, single vacation and random breakdown
J. Radha, P. Rajadurai,
Published in
2014
Volume: 10
   
Issue: 2
Pages: 265 - 283
Abstract
In this paper, we discuss about the concept of batch arrival feedback retrial queue with k stages of service and vacation. An arriving batch of customers finds the server busy, breakdown or on vacation enters an orbit/retrial group. If the server is free, one of the customers from the batch enters into the first stage of service and the rest of them join to the orbit. After completion of the ith, (i = 1, 2,..k-1) stage of service, the customer may have the option to choose (i+1)th stage with probability θi with probability pi may join into orbit as feedback customer or may leave the system with probability 1- θi pi = qi if the service is successfully. Finally, after completion of kth phase service, the customer may join into the orbit as feedback with probability pk or may leave the system with probability 1 -pk. After completion of each stage service, if the orbit is empty, the server takes a single vacation. Busy server may get to breakdown and the service channel will fail for a short interval of time. By using the supplementary variable method, steady state probability generating function for system size, some system performance measures are discussed. © Research India Publications.
About the journal
JournalGlobal Journal of Pure and Applied Mathematics
ISSN09731768