A hierarchy of models for multilane vehicular traffic I: Modeling

被引：92

作者：

Klar, A ^{[1
]}

Wegener, R

机构：

[1] Univ Kaiserslautern, Fachbereich Math, D-67663 Kaiserslautern, Germany

[2] Inst Techno & Wirtschaftsmath, D-67663 Kaiserslautern, Germany

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1999年 / 59卷 / 03期

关键词：

traffic flow; kinetic equations; macroscopic equations; stochastic model;

D O I：

10.1137/S0036139997326946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper multilane models for vehicular traffic are considered. A microscopic multilane model based on reaction thresholds is developed. Based on this model an Enskog-like kinetic model is developed. In particular, care is taken to incorporate the correlations between the vehicles. From the kinetic model a fluid dynamic model is derived. The macroscopic coefficients are deduced from the underlying kinetic model. Numerical simulations are presented for all three levels of description in [A. Klar and R. Wegener, SIAM J. Appl. Math., 59 (1999), pp. 1002-1011]. Moreover, a comparison of the results is given there.

引用

页码：983 / 1001

页数：19

共 25 条

[11]

Klar A., 1996, Surveys on Mathematics for Industry, V6, P215

[12] A hierarchy of models for multilane vehicular traffic II: Numerical investigations [J].