Fluid Vacation Model with Markov Modulated Load and Exhaustive Discipline
In this paper we analyze a fluid vacation model with exhaustive discipline, in which the fluid source is modulated by a background continuous-time Markov chain and the fluid is removed by constant rate during the service period. Due to the continuous nature of the fluid the state space of the model becomes continuous, which is the major novelty and challenge of the analysis. We adapt the descendant set approach used in polling models to the fluid vacation model. We provide steady-state vector Laplace Transform and mean of the fluid level at arbitrary epoch.
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