Abstract
We consider a stochastic fluid network with independent subordinator inputs to the various stations and deterministic internal flow which is of feed-forward type. We show that under suitable conditions the process of fluid contents in the station has a limiting distribution, where the limit holds in total variation and is independent of the initial condition. We also show that this limiting distribution is of product form only for trivial setups.
Original language | English |
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Pages (from-to) | 513-522 |
Number of pages | 10 |
Journal | Journal of Applied Probability |
Volume | 33 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1996 |
Keywords
- Fluid networks
- Lévy process
- Storage models
- Subordinator