Pathwise comparison results for stochastic fluid networks
نویسندگان
چکیده
We prove some new pathwise comparison results for single class stochastic fluid networks. Under fairly general conditions, monotonicity with respect to the (stateand time-dependent) routing matrices is shown. Under more restrictive assumptions, monotonicity with respect to the service rates is shown as well. We conclude by using the comparison results to establish a moment bound, a stability result for stochastic fluid networks with Lévy inputs, and a comparison result for multi-class GPS networks.
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ورودعنوان ژورنال:
- Queueing Syst.
دوره 66 شماره
صفحات -
تاریخ انتشار 2010