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Zbl 0966.90024
Gray, William J.; Wang, Pu Patrick; Scott, MecKinley
A vacation queueing model with service breakdowns. (English)
[J] Appl. Math. Modelling 24, No.5-6, 391-400 (2000). ISSN 0307-904X

Summary: The authors analyze a multiple-vacation queueing model, where the service station is subject to breakdown while in operation. Service resumes immediately after a repair process, and a vacation starts at the end of each busy period. Arrivals follow a Poisson process with rates depending upon the system state, namely, vacation, service, or breakdown state. The repair times, times to breakdown following a repair or vacation, uninterrupted service times, and length of each vacation follow exponential distributions. Some results are also obtained when vacation, service, and repair times follow phase-type distributions.

MSC 2000:: *90B22 Queues and service
60K25 Queueing theory
60K20 Appl. of Markov renewal processes

Keywords: queueing model; Poisson process

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