@article{ref1,
title="Density oscillations between lanes of a multilane highway",
journal="Operations research",
year="1962",
author="Gazis, Denos C. and Herman, Robert and Weiss, George H.",
volume="10",
number="5",
pages="658-667",
abstract="The interchange of traffic density between lanes moving in the same direction is investigated on the basis of a simple mathematical model. Emphasis is placed on the question of stability, i.e., attenuation of disturbances from an &quot;equilibrium density distribution.&quot; A solution is obtained for a system of differential difference equations with a time lag corresponding to the interaction of two lanes. This solution is directly applicable to other problems described by similar equations, such as the follow-the-leader problem. The solution is generalized to n lanes, and it is found that the inherent instability is twice as great for n approaching infinity as it is for two lanes. Keywords: Driver distraction;<p /><p />",
language="en",
issn="0030-364X",
doi="10.1287/opre.10.5.658",
url="http://dx.doi.org/10.1287/opre.10.5.658"
}