Modelling and analysis of M/G^{a,b}/1/N queue – A simple alternative approach
Queueing Systems: Theory and Applications
A note on an M/GI/1/N queue with vacation time and exhaustive service discipline
Operations Research Letters
On the batch arrival batch service queue with finite buffer under server's vacation: MX/GY/1/N queue
Computers & Mathematics with Applications
The dual model of a repairable system
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
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This paper studies a single server finite-buffer bulk-service queue in which the inter-arrival and service times are exponentially and arbitrarily distributed, respectively. The service is performed in batches of maximum size 'b' and minimum size 'a'. Server takes a single vacation when he finds less than 'a' customers after the service completion. The distributions of the number of customers in the queue at arbitrary, service completion and vacation termination epochs have been obtained. Finally, some key performance measures such as average queue length, probability of blocking etc. are discussed.