ON THE MODELLING AND MANAGEMENT OF TRAFFIC

被引：33

作者：

Colombo, Rinaldo M. ^{[1
]}

Goatin, Paola ^{[2
]}

Rosini, Massimiliano D. ^{[3
]}

机构：

[1] Univ Brescia, Dipartimento Matemat, I-25121 Brescia, Italy

[2] INRIA Sophia Antipolis Mediterranee, EPI OPALE, Sophia Antipolis, France

[3] Uniwersytet Warszawski, ICM, Warsaw, Poland

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2011年 / 45卷 / 05期

关键词：

Optimal control of conservation laws; constrained hyperbolic PDEs; traffic modelling; CONSERVATION-LAWS; KINEMATIC WAVES; FLOW MODEL; CLUSTERS;

D O I：

10.1051/m2an/2010105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several realistic situations in vehicular traffic that give rise to queues can be modeled through conservation laws with boundary and unilateral constraints on the flux. This paper provides a rigorous analytical framework for these descriptions, comprising stability with respect to the initial data, to the boundary inflow and to the constraint. We present a framework to rigorously state optimal management problems and prove the existence of the corresponding optimal controls. Specific cases are dealt with in detail through ad hoc numerical integrations. These are here obtained implementing the wave front tracking algorithm, which appears to be very precise in computing, for instance, the exit times.

引用

页码：853 / 872

页数：20

共 48 条

[1] Continuous dependence for 2x2 conservation laws with boundary [J].