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Asymptotic analysis of a fluid model modulated by an M/M/1 queue
Published online by Cambridge University Press: 01 July 2016
Abstract
We analyze asymptotically a differential-difference equation that arises in a Markov-modulated fluid model. We use singular perturbation methods to analyze the problem with appropriate scalings of the two state variables. In particular, the ray method and asymptotic matching are used.
MSC classification
- Type
- General Applied Probability
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- Copyright © Applied Probability Trust 2008