Citation

Pathria RK. Transp. Res. B Methodol. 1981; 15(4): 285-294.

Copyright

(Copyright © 1981, Elsevier Publishing)

DOI

10.1016/0191-2615(81)90014-X

PMID

unavailable

Abstract

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.

Language: en