Abstract

A Bulk Arrival Retrial Queue with Feedback and Exponentially Distributed Multiple Working Vacation

S. Pazhani Bala Murugan1 and R. Vijaykrishnaraj2

1 Mathematics Section,
Faculty of Engineering and Technology,
Annamalai University, Annamalainagar, Tamilnadu, INDIA.
2 Department of Mathematics,
Annamalai University, Annamalainagar, Tamilnadu, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/997

ABSTRACT

We consider a bulk arrival retrial queue with feedback and exponentially distributed multiple working vacation. The server provides service to customers, one by one, on a FCFS basis. Just after completion of his service a customer may leave the system or may opt to repeat his service, in which case this customer rejoins the head of the queue. After completion of customer's service there is no customer in the orbit the server may take a multiple working vacation. Using supplementary variable method we obtain the probability generating function for the number of customers in the orbit. Some particular cases are discussed.

Keywords :Bulk arrival retrial queues, Feedback, Linear retrial policy, Working vacation and Supplementary variable method.

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