Citation

Laval JA, Chilukuri BR. Transp. Sci. 2014; 48(2): 217-224.

Copyright

(Copyright © 2014, Institute for Operations Research and the Management Sciences)

DOI

10.1287/trsc.2013.0462

PMID

unavailable

Abstract

This paper shows that a wide range of stochastic extensions of the kinematic wave model tend to the same parameter-free expression for the probability of congestion at a given time-space point. This is shown for white noise initial density with deterministic and stochastic fundamental diagram in the case of Riemann problems and the bottleneck problem. It is also found that the stochastic solution (i) preserves the structure of the deterministic solution and (ii) tends to the deterministic solution with time at a given location.

Keywords : stochastic traffic flow; kinematic wave model

Language: en