@article{ref1,
title="Modeling microscopic freeway traffic using cusp catastrophe theory",
journal="IEEE intelligent transportation systems",
year="2014",
author="Papacharalampous, A.E. and Vlahogianni, E.I.",
volume="6",
number="1",
pages="6-16",
abstract="This paper proposes a framework based on stochastic cusp catastrophe theory to model microscopic freeway traffic flow. The approach considers that each driver-regardless of being aggressive or timid-may shift his/her behavior and behave aggressively or timidly during driving. Based on the proposed modeling approach, the spacing of a driver is a function of his speed and acceleration. Moreover, the driver's behavior comprises of two equilibrium states-being aggressive or timid-and a shift between these states is considered to occur as a catastrophe phenomenon. Different models are developed with varying sampling intervals, while some of them possess memory properties. <br><br>RESULTS show that the cusp catastrophe model may accurately describe microscopic traffic, especially when compared to linear or logistic models. <br><br>RESULTS for models with memory are even more promising. Based on the proposed method, preliminary results on the critical regions of breakdown conditions or attitude shifting are described and discussed.<p /> <p>Language: en</p>",
language="en",
issn="1939-1390",
doi="10.1109/MITS.2013.2272183",
url="http://dx.doi.org/10.1109/MITS.2013.2272183"
}