2017/01/04 by Michele D. Simoni, Christian Claudel, Simoni, Michele D. +1
Engineering · Social Sciences · #Analysis of PDEs (math.AP) #FOS: Mathematics #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.1701.01026
openalex publication_date 2017/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Moving and fixed bottlenecks are moving or fixed capacity restrictions that\naffect the propagation of traffic flow. They are a very important modeling\napproach to describe the effects of slow vehicles and traffic signals in\ntransportation networks. However, the computation of solutions associated with\nthe presence of fixed and moving bottlenecks is complex, since they both\ninfluence and are influenced by traffic. In this study, we propose a fast\nnumerical scheme that can efficiently compute the solutions to an arbitrary\nnumber of fixed and moving bottlenecks, for a stretch of road modeled by the\nLighthill-Whitham-Richards (LWR) model with triangular fundamental diagram. The\nnumerical scheme is based on a semi-analytic Lax-Hopf formula that requires a\nvery low number of operations compared with existing schemes. We illustrate the\nperformance of the numerical scheme on scenarios involving multiple slow\nvehicles and traffic signals, and demonstrate that this scheme can be part of\nan optimization loop to simultaneously optimize the schedule of several\nheavy-duty vehicles and traffic signals in a city for alleviating traffic\ncongestion\n