Abstract
Mesoscopic traffic flow models were developed to fill the gap between the family of microscopic models that describe the behavior of individual vehicles and the family of macroscopic models that describe traffic as a continuum flow. Traditional mesoscopic models describe vehicle flow in aggregate terms such as in probability distributions. However, behavioral rules are defined for individual vehicles. The family includes headway distribution models, cluster models, gas-kinetic models and macroscopic models derived from them. Most recently, hybrid mesoscopic models have appeared as a new branch on the tree: they combine microscopic and macroscopic models.
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Notes
- 1.
Gas-kinetic and hybrid modelling are advanced topics. Numerical methods are not yet well-developed. The interested reader is encouraged to try to do some simulations, but it is not expected that this can be done easily.
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Further Reading
Hoogendoorn SP, Bovy PHL (2001) Generic gas-kinetic traffic systems modeling with applications to vehicular traffic flow. Transp Res B Methodol 35(4):317–336
Joueiai M, Leclercq L, van Lint JWC, Hoogendoorn SP (2015) A multi-scale traffic flow model based on the mesoscopic LWR model. Transp Res Rec J Transp Res Board 2491:98–106
Li L, Chen X (2017) Vehicle headway modeling and its inferences in macroscopic/microscopic traffic flow theory: a survey. Transp Res C Emerg Technol 76:170–188
Moutari S, Rascle M (2007) A hybrid Lagrangian model based on the Aw-Rascle traffic flow model. SIAM J Appl Math 68:413–436
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Kessels, F. (2019). Mesoscopic Models. In: Traffic Flow Modelling. EURO Advanced Tutorials on Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-319-78695-7_6
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DOI: https://doi.org/10.1007/978-3-319-78695-7_6
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