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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155971We 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.37 pages, 5 figuresProbabilityClassical Analysis and ODEs60K25 (Primary); 60J25, 34E10 (Secondary)Asymptotic analysis of a fluid model modulated by an $M/M/1$ queuetext