Fluid vacation model with Markov modulated load and gated discipline
نویسندگان
چکیده
We adapt the descendant set approach used in polling models to the continuous fluid model. This enables to establish the steady-state relationship on Laplace transform level among the joint distributions of the fluid level and the state of the modulating Markov chain at end of vacation and at start of vacation. The main results of the paper are the steady-state vector LT and mean of the fluid level at arbitrary epoch in terms of the previously determined quantities at the vacation end and vacation start epochs. We present numerical examples to illustrate the numerical solution.
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