Fluid queues driven by a discouraged arrivals queue

P. R. Parthasarathy and K. V. Vijayashree

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-20

Abstract:

We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are presented to compare the behaviour of the buffer content distributions for both these models.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:431063

DOI: 10.1155/S0161171203203203

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