@article{ref1,
title="A stochastic model for highway traffic",
journal="Transportation research part B: methodological",
year="1981",
author="Pathria, R. K.",
volume="15",
number="4",
pages="285-294",
abstract="A nonlinear model for unidirectional flow of heavy traffic on a two-lane highway is considered. Features such as entrance, exit and lane transfer with time-dependent parameters are incorporated into the model, with the result that a number of previous models employed in the study of traffic flow become special cases of ours. Using the method of system-size expansion, an asymptotic analysis of the problem, including the time evolution of both deterministic and stochastic aspects of the traffic system, is carried out. In addition, a scheme for obtaining the moments of the probability distribution for systems of finite size is developed and a comparison is made with the exact results appropriate to a particular model. The agreement between the two sets of results turns out to be remarkably good.<p /><p>Language: en</p>",
language="en",
issn="0191-2615",
doi="10.1016/0191-2615(81)90014-X",
url="http://dx.doi.org/10.1016/0191-2615(81)90014-X"
}