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