Treelike queueing networks: Asymptotic stationarity and heavy traffic (Q1296745)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Treelike queueing networks: Asymptotic stationarity and heavy traffic |
scientific article; zbMATH DE number 1319926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Treelike queueing networks: Asymptotic stationarity and heavy traffic |
scientific article; zbMATH DE number 1319926 |
Statements
Treelike queueing networks: Asymptotic stationarity and heavy traffic (English)
0 references
23 November 1999
0 references
Limiting distributions for waiting times and queue lengths in treelike networks with single-server nodes are established. The main results are: (1) Characterization of the limiting distributions with asymptotical stationarity; this result generalizes that of Borovkov. (2) Characterization of functionals of sequences preserving the asymptotic stationarity.
0 references
queueing network
0 references
stationary process
0 references
weak convergence
0 references
equilibrium distribution
0 references
0 references
0.8132588267326355
0 references
0.805942952632904
0 references
0.8013521432876587
0 references
