The M<sup>X</sup>/M/1 Queue with Multiple Working Vacation
نویسندگان
چکیده
منابع مشابه
The M/M/1 Queue with Multiple Working Vacation
We study a batch arrival M/M/1 queue with multiple working vacation. The server serves customers at a lower rate rather than completely stopping service during the service period. Using a quasi upper triangular transition probability matrix of two-dimensional Markov chain and matrix analytic method, the probability generating function (PGF) of the stationary system length distribution is obtain...
متن کاملWorking Vacation Queue with Second Optional Service and Unreliable Server
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...
متن کاملAnalysis 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...
متن کاملAn M/G/1 Retrial Queue with Single Working Vacation
We consider an M/G/1 retrial queue with general retrial times and single working vacation. During the working vacation period, customers can be served at a lower rate. Both service times in a vacation period and in a service period are generally distributed random variables. Using supplementary variable method we obtain the probability generating function for the number of customers and the ave...
متن کاملWorking Vacation Queue with Second Optional Service and Unreliable Server
doi: 10.5829/idosi.ije.2012.25.03c.06
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ژورنال
عنوان ژورنال: American Journal of Operations Research
سال: 2012
ISSN: 2160-8830,2160-8849
DOI: 10.4236/ajor.2012.22025