We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Queueing networks with path-dependent arrival processes.
- Authors
Fendick, Kerry; Whitt, Ward
- 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.
- Subjects
QUEUEING networks; LAW of large numbers; GAUSSIAN processes; MARKOV processes; STOCHASTIC processes
- Publication
Queueing Systems, 2023, Vol 105, Issue 1/2, p17
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-023-09885-9