The derivation and application possibilities of a stochastic shock wave model
Abstract
On busy city routes, traffic light cycles fundamentally determine the flow of traffic. An accurate knowledge of queue lengths forming at intersections with traffic lights is essential when operating intelligent intervention systems. Starting from the macroscopic fundamental diagram, this article introduces a shock wave model that incorporates the stochastic behaviour of vehicle traffic to derive the shock wave and queue length distribution functions. The model is validated using microscopic traffic simulation software and Monte Carlo simulation. The main conclusion is that the stochastic shock wave model can be effectively applied for modelling urban traffic.
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