Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes

T. Vijayalakshmi and V. Thangaraj

International Journal of Mathematics in Operational Research, 2016, vol. 8, issue 2, 164-184

Abstract: In this paper, we analyse the transient behaviour of a fluid queue modulated by a birth and death processes (BDPs) whose birth and death rates are suggested by a chain sequence and catastrophes. We derive a system of differential equations satisfied by this fluid model. We employ the Laplace transform technique and continued fraction methodology to obtain a simple closed form transient state probability distribution. Also we find the distribution of busy period and analyse the system when there are no catastrophes.

Keywords: fluid queues; chain sequence; catastrophes; continued fractions; Laplace transform; busy periods; birth and death processes; differential equations; probability distribution; stochastic modelling; queueing theory. (search for similar items in EconPapers)
Date: 2016
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