@article{ref1,
title="Heavy traffic limits via Brownian embeddings",
journal="Probability in the engineering and informational sciences",
year="2006",
author="Peköz, Erol A. and Blanchet, Jose",
volume="20",
number="4",
pages="595-598",
abstract="For the GI/GI/1 queue we show that the scaled queue size converges to reflected Brownian motion in a critical queue and converges to reflected Brownian motion with drift for a sequence of subcritical queuing models that approach a critical model. Instead of invoking the topological argument of the usual continuous-mapping approach, we give a probabilistic argument using Skorokhod embeddings in Brownian motion.<p /><p>Language: en</p>",
language="en",
issn="0269-9648",
doi="10.1017/S0269964806060360",
url="http://dx.doi.org/10.1017/S0269964806060360"
}