In the present paper a kinetic model for vehicular traffic leading to multivalued fundamental diagrams is developed and investigated in detail. For this model phase transitions can appear depending on the local density and velocity of the flow. A derivation of associated macroscopic traffic equations from the kinetic equation is given. Moreover, numerical experiments show the appearance of stop and go waves for highway traffic with a bottleneck
AbstractA general class of macroscopic traffic flow models describing traffic dynamics on transporta...
This paper extends an existing continuum multi-lane formulation for traffic flow, provides a discret...
A macroscopic relation between the network-level average flow-rate and density, which is known as th...
In the present paper a kinetic model for vehicular traffic leading to multivalued fundamental diagra...
AbstractIn the present paper a review and numerical comparison of a special class of multi-phase tra...
In the present paper a review and numerical comparison of a special class of multi-phase traffic the...
Abstract. In the present paper a review and numerical comparison of a special class of multi-phase t...
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehi...
In this work, we focus on kinetic theory of vehicular traffic. We introduce (Boltzmann and Fokker-Pl...
Starting from interaction rules based on two levels of stochasticity we study the influence of the m...
Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean sp...
This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richard...
Starting from interaction rules based on two levels of stochasticity we study the influence of the m...
This paper reviews some of the major macroscopic and kinetic mathematical models of vehicular traffi...
In this paper, we present a general phase transition model that describes the evolution of vehicular...
AbstractA general class of macroscopic traffic flow models describing traffic dynamics on transporta...
This paper extends an existing continuum multi-lane formulation for traffic flow, provides a discret...
A macroscopic relation between the network-level average flow-rate and density, which is known as th...
In the present paper a kinetic model for vehicular traffic leading to multivalued fundamental diagra...
AbstractIn the present paper a review and numerical comparison of a special class of multi-phase tra...
In the present paper a review and numerical comparison of a special class of multi-phase traffic the...
Abstract. In the present paper a review and numerical comparison of a special class of multi-phase t...
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehi...
In this work, we focus on kinetic theory of vehicular traffic. We introduce (Boltzmann and Fokker-Pl...
Starting from interaction rules based on two levels of stochasticity we study the influence of the m...
Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean sp...
This paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richard...
Starting from interaction rules based on two levels of stochasticity we study the influence of the m...
This paper reviews some of the major macroscopic and kinetic mathematical models of vehicular traffi...
In this paper, we present a general phase transition model that describes the evolution of vehicular...
AbstractA general class of macroscopic traffic flow models describing traffic dynamics on transporta...
This paper extends an existing continuum multi-lane formulation for traffic flow, provides a discret...
A macroscopic relation between the network-level average flow-rate and density, which is known as th...