Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2004 / Article

Open Access

Volume 2004 |Article ID 293586 | https://doi.org/10.1155/S1024123X0420103X

P. R. Parthasarathy, K. V. Vijayashree, R. B. Lenin, "Fluid queues driven by a birth and death process with alternating flow rates", Mathematical Problems in Engineering, vol. 2004, Article ID 293586, 21 pages, 2004. https://doi.org/10.1155/S1024123X0420103X

Fluid queues driven by a birth and death process with alternating flow rates

Received18 Jan 2002
Revised15 Jul 2002

Abstract

Fluid queue driven by a birth and death process (BDP) with only one negative effective input rate has been considered in the literature. As an alternative, here we consider a fluid queue in which the input is characterized by a BDP with alternating positive and negative flow rates on a finite state space. Also, the BDP has two alternating arrival rates and two alternating service rates. Explicit expression for the distribution function of the buffer occupancy is obtained. The case where the state space is infinite is also discussed. Graphs are presented to visualize the buffer content distribution.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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