%0 Journal Article
%T Density oscillations between lanes of a multilane highway
%J Operations research
%D 1962
%A Gazis, Denos C.
%A Herman, Robert
%A Weiss, George H.
%V 10
%N 5
%P 658-667
%X 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 "equilibrium density distribution." 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 />
%G en
%I Institute for Operations Research and the Management Sciences
%@ 0030-364X
%U http://dx.doi.org/10.1287/opre.10.5.658