PROPOSAL OF A RISK MODEL FOR VEHICULAR TRAFFIC: A BOLTZMANN-TYPE KINETIC APPROACH

被引：11

作者：

Freguglia, Paolo ^{[1
]}

Tosin, Andrea ^{[2
]}

机构：

[1] Univ Aquila, Dept Engn Informat Sci & Math, Via Vetoio,Coppito 1, I-67100 Coppito, AQ, Italy

[2] Politecn Torino, Dept Math Sci GL Lagrange, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017年 / 15卷 / 01期

关键词：

Fundamental and risk diagrams of traffic; safety and risk regimes; kinetic equations; stochastic microscopic interactions; Wasserstein spaces; FUNDAMENTAL DIAGRAMS; FLOW; EVOLUTION; DYNAMICS;

D O I：

10.4310/CMS.2017.v15.n1.a10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the distribution of the driving risk along a road, are ultimately generated by one-to-one interactions among drivers, the model links the personal (i.e., individual) risk to the changes of speeds of single vehicles and implements a probabilistic description of such microscopic interactions in a Boltzmann-type collisional operator. By means of suitable statistical moments of the kinetic distribution function, it is finally possible to recover macroscopic relationships between the average risk and the road congestion, which show an interesting and reasonable correlation with the well-known free and congested phases of the flow of vehicles.

引用

页码：213 / 236

页数：24

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