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Fluid queues driven by a discouraged arrivals queue

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  • P. R. Parthasarathy
  • K. V. Vijayashree

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.

Suggested Citation

  • P. R. Parthasarathy & K. V. Vijayashree, 2003. "Fluid queues driven by a discouraged arrivals queue," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-20, January.
    • Handle: RePEc:hin:jijmms:431063
    DOI: 10.1155/S0161171203203203
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