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- W2948748696 abstract "This chapter analyzes a steady-state finite buffer M/M/1 working vacation queue wherein the customers can balk or renege. Unlike the classical vacation queues, the server can still render service to customers during the working vacations, at a different rate rather than completely terminating the service. The inter-arrival times of customers follow exponential distribution. The arriving customers either decide not to join the queue (that is, balk) with a probability or leave the queue after joining without getting served due to impatience (that is, renege) according to negative exponential distribution. The service times during a regular busy period, service times during a working vacation period, and vacation times are all independent and exponentially distributed random variables. Using Markov process, the steady-state equations are set and the steady-state system length distributions at arbitrary epoch are derived using blocked matrix method. A cost model is formulated to determine the optimum service rate. Sensitivity analysis is carried out to investigate the impact of the system parameters on various performance indices." @default.
- W2948748696 created "2019-06-14" @default.
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- W2948748696 date "2014-01-01" @default.
- W2948748696 modified "2023-09-27" @default.
- W2948748696 title "Performance Analysis of a Markovian Working Vacations Queue with Impatient Customers" @default.
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- W2948748696 doi "https://doi.org/10.4018/978-1-4666-5958-2.ch013" @default.
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