A dynamically bi‐orthogonal solution method for a stochastic Lighthill‐Whitham‐Richards traffic flow model
نویسندگان
چکیده
Macroscopic traffic flow modeling is essential for describing and forecasting the characteristics of flow. However, classic Lighthill–Whitham–Richards (LWR) model only provides equilibrium values steady-state conditions fails to capture common stochastic variabilities, which are a necessary component accurate real-time management control. In this paper, LWR (SLWR) that randomizes free-flow speed developed account stochasticity incurred by heterogeneity drivers, while holding individual drivers’ behavior constant. The SLWR follows conservation law density formulated as time-dependent partial differential equation. solved using dynamically bi-orthogonal (DyBO) method based on spatial basis basis. Various scenarios simulated compared with Monte Carlo (MC) method, results show can effectively describe dynamic evolutions reproduce some commonly observed phenomena. Furthermore, DyBO shows significant computational advantages over MC method.
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ژورنال
عنوان ژورنال: Computer-aided Civil and Infrastructure Engineering
سال: 2022
ISSN: ['1093-9687', '1467-8667']
DOI: https://doi.org/10.1111/mice.12953