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arXiv · 0802.4434

Asymptotic analysis of a fluid model modulated by an $M/M/1$ queue

Charles Knessl·Diego Dominici
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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.

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Charles Knessl, Diego Dominici. 2008-02-29. Asymptotic analysis of a fluid model modulated by an $M/M/1$ queue. https://arxiv.org/abs/0802.4434

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