The Distribution of Congestion on a Class of Stochastic Kinematic Wave Models

Jorge A. Laval () and Bhargava R. Chilukuri ()
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Jorge A. Laval: School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332
Bhargava R. Chilukuri: School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332

Transportation Science, 2014, vol. 48, issue 2, 217-224

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 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:48:y:2014:i:2:p:217-224

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