This article introduces a new formulation for modeling and evaluating the effects of traffic signal timing over arterial roads, based on the Lighthill Whitham Richards model. We introduce a Hamilton–Jacobi formulation of the traffic model, in which the red phases of the traffic signals are described as internal conditions corresponding to a zero flow (fixed bottlenecks). With this approach, it is possible to model and evaluate the traffic signal timings accurately and efficiently. We then integrate this fast simulation scheme into an optimization framework for computing the optimal signal timing strategy associated with a given set of initial and boundary conditions, over a transportation network. A numerical implementation is shown for a single link case and for a more complex signalized intersection.
A semi-analytic approach to model signal plans in urban corridors and its application in metaheuristic optimization
Transportmetrica B: Transport Dynamics ; 7 , 1 ; 185-201
2019-12-23
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Multimodal Optimization of Urban Freeway Corridors
NTIS | 2006
|Spatial development plans and corridors
British Library Conference Proceedings | 1997
|Designing bus routes in urban corridors
TIBKAT | 1981
|Designing bus routes in urban corridors
Elsevier | 1982