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math.PR2008
Asymptotic analysis of a fluid model modulated by an queue
Charles Knessl, Diego Dominici
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 approp…
math.PR2003
Asymptotic analysis by the saddle point method of the Anick-Mitra-Sondhi model
Diego Dominici, Charles Knessl
We consider a fluid queue where the input process consists of N identical sources that turn on and off at exponential waiting times. The server works at the constant rate c and an…