期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 25, 期 3, 页码 423-461出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202515400023
关键词
Kinetic equations; traffic granularity; flows on networks; junction conditions
资金
- INdAM-GNCS (National Group for Scientific Computing of the National Institute for Advanced Mathematics, Italy)
This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means of macroscopic hydrodynamic models, to date there are still not, to the authors' knowledge, contributions tackling it from a genuine statistical mechanics point of view. Probably one of the reasons is the higher technical complexity of kinetic traffic models, further increased in case of several interconnected roads. Here such difficulties of the theory are overcome by taking advantage of a discrete structure of the space of microscopic states of the vehicles, which is also significant in view of including the intrinsic microscopic granularity of the system in the mesoscopic representation.
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