A Markovian single server working vacation queue with server state dependent arrival rate, balking and with breakdown
نویسندگان
چکیده
منابع مشابه
Analysis of a Single Server Queue with Working Vacation and Vacation Interruption
In this paper, an M/M/1 queue with working vacation and vacation interruption is investigated. The server is supposed to take a working vacation whenever the system becomes empty and if there are at least N customers waiting in the system at a service completion instant, vacation interruption happens and the server resumes a normal working period. A matrix geometric approach is employed to obta...
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An M/M/1 queueing system with second optional service and unreliable server is studied. We consider that the server works at different rate rather than being idle during the vacation period. The customers arrive to the system according to Poisson process with state dependent rates depending upon the server’s status. All customers demand the first essential service whereas only some of them dema...
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A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. Some performance measures are calculated. Some ...
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ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2019
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0s01/0037