Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes (Q2204195)
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| Language | Label | Description | Also known as |
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| English | Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes |
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Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes (English)
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15 October 2020
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Summary: 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.
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fluid queues
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chain sequence
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catastrophes
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continued fractions
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Laplace transform
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busy periods
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birth and death processes
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differential equations
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probability distribution
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stochastic modelling
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queueing theory
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