Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes
by T. Vijayalakshmi; V. Thangaraj
International Journal of Mathematics in Operational Research (IJMOR), Vol. 8, No. 2, 2016

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.

Online publication date: Sun, 21-Feb-2016

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