TY  - JOUR
PY  - 1962//
TI  - Density oscillations between lanes of a multilane highway
JO  - Operations research
A1  - Gazis, Denos C.
A1  - Herman, Robert
A1  - Weiss, George H.
SP  - 658
EP  - 667
VL  - 10
IS  - 5
N2  - 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 />
LA  - en
SN  - 0030-364X
UR  - http://dx.doi.org/10.1287/opre.10.5.658
ID  - ref1
ER  -