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Queueing networks with path-dependent arrival processes.
- Source :
-
Queueing Systems . Oct2023, Vol. 105 Issue 1/2, p17-46. 30p. - Publication Year :
- 2023
-
Abstract
- This paper develops a Gaussian model for an open network of queues having a path-dependent net-input process, whose evolution depends on its early history, and satisfies a non-ergodic law of large numbers. We show that the Gaussian model arises as the heavy-traffic limit for a sequence of open queueing networks, each with a multivariate generalization of a Polya arrival process. We show that the net-input and queue-length processes for the Gaussian model satisfy non-ergodic laws of large numbers with tractable distributions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02570130
- Volume :
- 105
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Queueing Systems
- Publication Type :
- Academic Journal
- Accession number :
- 173149771
- Full Text :
- https://doi.org/10.1007/s11134-023-09885-9