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

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dc.creatorKnessl, Charles
dc.creatorDominici, Diego
dc.date2008-02-29
dc.date.accessioned2026-07-07T09:24:06Z
dc.date.available2026-07-07T09:24:06Z
dc.descriptionWe 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.
dc.description37 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0802.4434
dc.identifierhttp://arxiv.org/abs/0802.4434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155971
dc.subjectProbability
dc.subjectClassical Analysis and ODEs
dc.subject60K25 (Primary); 60J25, 34E10 (Secondary)
dc.titleAsymptotic analysis of a fluid model modulated by an $M/M/1$ queue
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