Open AccessOn a spatiotemporally discrete urban traffic model
Author(s) -
Lin Shu,
De Schutter Bart,
Hegyi Andreas,
Xi Yugeng,
Hellendoorn Hans
Publication year - 2014
Publication title -
iet intelligent transport systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 45
eISSN - 1751-9578
pISSN - 1751-956X
DOI - 10.1049/iet-its.2012.0137
Subject(s) - computer science , traffic flow (computer networking) , traffic generation model , microscopic traffic flow model , sampling (signal processing) , traffic congestion reconstruction with kerner's three phase theory , traffic model , simulation , control (management) , control theory (sociology) , traffic congestion , engineering , real time computing , transport engineering , artificial intelligence , computer security , filter (signal processing) , computer vision , computer network
In order to control urban traffic with model‐based control methods, a proper traffic model is very important. This traffic control model needs to have enough descriptive power to reproduce relevant traffic phenomena, and it also has to be fast enough to be used in practice. Consequently, macroscopic urban traffic flow models are usually applied as control models. In this study, a macroscopic spatiotemporally discrete urban traffic model with a variable sampling time interval is proposed for model‐based control strategies. By selecting proper sampling time intervals and sampling space distances, it allows us to balance modelling accuracy and computational complexity of the spatiotemporally discrete model. In addition, an urban traffic Courant–Friedrichs–Lewy (CFL) condition is deduced for spatiotemporally discrete urban traffic models, which is a sufficient condition to guarantee the discrete model to bear enough descriptive modelling power to reproduce necessary traffic phenomena. The model is analysed and evaluated based on the model requirements for control purposes. The simulation results are compared for the situations where the CFL condition is violated and not violated.