Decomposition of M/M/1 With Unreliable Service and a Working Vacation
نویسندگان
چکیده
منابع مشابه
Working 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 کاملWorking Vacation Queue with Second Optional Service and Unreliable Server
doi: 10.5829/idosi.ije.2012.25.03c.06
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 کاملAnalysis of a Batch Arrival Single Service Queueing System with Unreliable Server and Single Vacation
Many authors have analyzed queueing systems with server breakdowns. Kendall (1953) studied stochastic processes occurring in the theory of queues and their analysis by the method of imbedded Markov chains. Buzacott and Hanifin (1978) classified the machine failures as operation dependent failures and time dependent failures. Shanthikumar (1982) analyzed a M/G/1 queueing system with time and ope...
متن کاملA Batch Arrival Unreliable Server Bernoulli Vacation Queue with Two Phases of Service and Delayed Repair
This paper deals with batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period. For this model, we first derive the joint distribution of state of the server and queue size, which is one of the chief objectives of this paper. Secondly, we derive the pgf of the stationary queue size distribu...
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ژورنال
عنوان ژورنال: International Journal of Statistics and Probability
سال: 2020
ISSN: 1927-7040,1927-7032
DOI: 10.5539/ijsp.v9n1p63