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This thesis is about stochastic fluid queues. In such systems a fluid reservoir receives
and/or releases fluid at rates which depend on the actual state of a stochastic background
process. Often this is a Markov process, in which case we are dealing with a
"Markov-modulated fluid queue". This thesis is concerned with finding stationary
distributions for some types of fluid models. The two main contributions are:
1. We focus on models in which the state space of the background Markov process is
infinitely large, either denumerable or not.
This includes simple systems of fluid queues, such as a fluid tandem queue.
2. We introduce socalled "feedback fluid queues". In these systems
the state of the fluid reservoir influences the behaviour of the regulating
process (which is therefore not a Markov process any more). To learn more you can
download my thesis or
visit my website.
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