TY  - JOUR
PY  - 1981//
TI  - A stochastic model for highway traffic
JO  - Transportation research part B: methodological
A1  - Pathria, R. K.
SP  - 285
EP  - 294
VL  - 15
IS  - 4
N2  - 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>
LA  - en
SN  - 0191-2615
UR  - http://dx.doi.org/10.1016/0191-2615(81)90014-X
ID  - ref1
ER  -