Non-Markovian state dependent networks in critical loading
Probability
2012-12-18 v1
Abstract
We establish heavy traffic limit theorems for queue-length processes in critically loaded single class queueing networks with state dependent arrival and service rates. A distinguishing feature of our model is non-Markovian state dependence. The limit stochastic process is a continuous-path reflected process on the nonnegative orthant. We give an application to generalised Jackson networks with state-dependent rates.
Keywords
Cite
@article{arxiv.1212.4078,
title = {Non-Markovian state dependent networks in critical loading},
author = {Chihoon Lee and Anatolii puhalskii},
journal= {arXiv preprint arXiv:1212.4078},
year = {2012}
}