Analysis of variant working vacations on batch arrival queues

P. Vijaya Laxmi () and P. Rajesh
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P. Vijaya Laxmi: Andhra University
P. Rajesh: Andhra University

OPSEARCH, 2016, vol. 53, issue 2, No 5, 303-316

Abstract: Abstract This paper analyzes a batch arrival infinite-buffer single server queueing system with variant working vacations in which customers arrive according to a Poisson process. As soon as the system becomes empty, the server takes working vacation. The service rate during regular busy period, working vacation period and vacation times are assumed to be exponentially distributed. We derive the probability generating function of the steady-state probabilities and obtain the closed form expressions of the system size when the server is in different states. In addition, we obtain some other performance measures and discuss their monotonicity and a cost model is formulated to determine the optimal service rate during working vacation.

Keywords: Queue; Batch arrival; Geometric distribution; Variant working vacations; Probability generating function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s12597-015-0236-3

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