Abstract

In this paper, we consider Markov fluid models with jumps which are useful for e.g. insurance risk modeling and the performance analysis of high-speed data networks. Recently, Ahn and Ramaswami [Ahn, S. & Ramaswami, V. (2004). Transient analysis of fluid flow models via stochastic coupling to a queue. Stochastic Models, 20 (1) 71–101] provided a transient analysis of the Markov modulated fluid flow model using stochastic coupling to a queueing model. Here we extend their results and provide a transient analysis of Markov fluid models with jumps. We also present some numerical examples.

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