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- Title
Pathwise comparison results for stochastic fluid networks.
- Authors
Haddad, Jean-Paul; Mazumdar, Ravi; Piera, Francisco
- Abstract
We prove some new pathwise comparison results for single class stochastic fluid networks. Under fairly general conditions, monotonicity with respect to the (state- and 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.
- Subjects
MATRICES (Mathematics); DIFFERENTIAL equations; STORAGE area networks (Computer networks); QUEUEING networks; QUEUING theory
- Publication
Queueing Systems, 2010, Vol 66, Issue 2, p155
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-010-9187-9