Geodesic
Analysis of Single Server Repairable Queueing System With Many Kinds of Service, Single Working Vacation and Standby Server
Yugoslav journal of operations research, Tome 34 (2024) no. 2, p. 285

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We consider a single server queueing model in which the customers arrive according to a Markovian Arrival Process (MAP). We modeled this queueing system with many kinds of service where the customers can choose any kind from the server. Each kind of service follows Phase-type (P H) distribution. We analyzed the model with breakdown, repair, single working vacation and standby server. A standby server works only when the main server is breakdown while serving the customer during a busy or vacation period. Using the matrix-geometric approach, we examined the model. A few real-world examples have been given, and several graphical and numerical examples have also been provided.
Classification : 60K25 60K30
Keywords: Markovian arrival process, phase-type distribution, standby, breakdown, single working vacation 
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     title = {Analysis of {Single} {Server} {Repairable} {Queueing} {System} {With} {Many} {Kinds} of {Service,} {Single} {Working} {Vacation} and {Standby} {Server}},
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K Baby Saroja; V Suvitha. Analysis of Single Server Repairable Queueing System With Many Kinds of Service, Single Working Vacation and Standby Server. Yugoslav journal of operations research, Tome 34 (2024) no. 2, p. 285 . http://geodesic.mathdoc.fr/item/YJOR_2024_34_2_a4/