Abstract

ARUNACHALAM, V  and  DHARMARAJA, S. Fluid Queue Driven by Finite State Markov Processes. Ciencia en Desarrollo [online]. 2014, vol.5, n.2, pp.79-86. ISSN 0121-7488.

Steady state distribution of the buffer content of a fluid queue modulated by two independent birth and death processes is found using differential equation techniques to solve a system of equations. The inflow rates are determined by a birth and death process with finite state space and the outflow rate from the buffer is determined by the current state of another independent birth and death process with four states, evolving in the background. Combining these two birth and death processes a continuous time Markov chain is obtained. The steady state buffer content distribution for this fluid queue driven driven by a continuous time Markov chain is thus obtained. Finally, we present numerical results to illustrate the feasibility of the proposed model.

Keywords : Birth and Death Processes; Continuous Time Markov Chain; Steady State Distribution.

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