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30
A Survey of InterVehicle Communication
 School of Computer and Communication Sciences, EPFL
, 2004
"... As a component of the intelligent transportation system (ITS) and one of the concrete applications of mobile ad hoc networks, intervehicle communication (IVC) has attracted research attention from both the academia and industry of, notably, US, EU, and Japan. ..."
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Cited by 52 (2 self)
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As a component of the intelligent transportation system (ITS) and one of the concrete applications of mobile ad hoc networks, intervehicle communication (IVC) has attracted research attention from both the academia and industry of, notably, US, EU, and Japan.
ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
, 2008
"... This paper, that deals with the modelling of crowd dynamics, is the first one of a project finalized to develop a mathematical theory refereing to the modelling of the complex systems constituted by several interacting individuals in bounded and unbounded domains. The first part of the paper is devo ..."
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Cited by 25 (0 self)
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This paper, that deals with the modelling of crowd dynamics, is the first one of a project finalized to develop a mathematical theory refereing to the modelling of the complex systems constituted by several interacting individuals in bounded and unbounded domains. The first part of the paper is devoted to scaling and related representation problems, then the macroscopic scale is selected and a variety of models are proposed according to different approximations of the pedestrian strategies and interactions. The second part of the paper deals with a qualitative analysis of the models with the aim of analyzing their properties. Finally, a critical analysis is proposed in view of further development of the modelling approach. Additional reasonings are devoted to understanding the conceptual differences between crowd and swarm modelling.
Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges,”Mathematical and
 Computer Modelling
, 2007
"... Abstract—This paper proposes a mathematical model and a computational approach to study the complex multiphysical non linear coupled system that results from the interaction between a moving platform and the pedestrians who walk on it. The described method is based on the mathematical and numerical ..."
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Cited by 10 (3 self)
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Abstract—This paper proposes a mathematical model and a computational approach to study the complex multiphysical non linear coupled system that results from the interaction between a moving platform and the pedestrians who walk on it. The described method is based on the mathematical and numerical decomposition of the coupled system into two subsystems and on the twoway interaction between them. In particular, the dynamics of the crowd is modelled referring to a macroscopic description in analogy to that of a compressible flow. The proposed approach is applied to the lateral vibrations of footbridge decks under humaninduced excitation. First, the computational parameters of the model are optimised. Then, the effects of the crowd initial density and of the runnability conditions are evaluated on a motionless platform. Finally, the results obtained from the simulations of the crowdstructure interaction are commented on. Keywords—pedestrian dynamics; crowdstructure interaction; synchronization; footbridge; lateral vibration; computational simulation. 1
Existence of Optima and Equilibria for Traffic Flow on Networks
, 2012
"... This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various groups of drivers, with different origins and destinations an ..."
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Cited by 6 (2 self)
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This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various groups of drivers, with different origins and destinations and having different cost functions. Under a natural set of assumptions, two main results are proved: (i) the existence of a globally optimal solution, minimizing the sum of the costs to all drivers, and (ii) the existence of a Nash equilibrium solution, where no driver can lower his own cost by changing his departure time or the route taken to reach destination. In the case of Nash solutions, all departure rates are uniformly bounded and have compact support. 1
The AwRascle traffic flow model with phase transitions
, 2005
"... We introduce a new model of traffic flow with phase transitions. The model is obtained by coupling together the classical LighthillWhithamRichards (LWR) equation with the 2 × 2 system described in [A. Aw and M. Rascle, Resurrection of “second order ” models of traffic flow, SIAM J. Appl. Math., 60 ..."
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Cited by 5 (1 self)
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We introduce a new model of traffic flow with phase transitions. The model is obtained by coupling together the classical LighthillWhithamRichards (LWR) equation with the 2 × 2 system described in [A. Aw and M. Rascle, Resurrection of “second order ” models of traffic flow, SIAM J. Appl. Math., 60 (2000), pp. 916–938]. We describe the solutions of the Riemann problem, and we compare the results with the ones obtained using the LWR model and the biphasic model described in [R.M. Colombo, Hyperbolic phase transitions in traffic flow, SIAM J. Appl. Math., 63 (2002), pp. 708–721]
Convoy driving through adhoc coalition formation
"... Convoy driving on public highways is a useful phenomena which increases the safety and the throughput of the highway. We present an approach through which a wireless Convoy Driving Device assists the driver in the task of deciding to join or leave a convoy, influencing the speed and formation of the ..."
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Cited by 5 (1 self)
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Convoy driving on public highways is a useful phenomena which increases the safety and the throughput of the highway. We present an approach through which a wireless Convoy Driving Device assists the driver in the task of deciding to join or leave a convoy, influencing the speed and formation of the convoy. Our approach handles complex situations like the merging and splitting of convoys, and it offers valuable lessons with applications for other cases of teamwork of mobile entities.
On fluidodynamic models for urban traffic
 Netw. Heterog. Media
"... The aim of this paper is to address the following questions: which models, among fluidodynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately di ..."
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Cited by 5 (0 self)
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The aim of this paper is to address the following questions: which models, among fluidodynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models focusing on three basic properties. The latter are necessary to reproduce correctly queue formation at lights and junctions, and their backward propagation on an urban network.
Fundamental diagrams for kinetic equations of traffic flow
 Discrete Contin. Dyn. Syst. Ser. S
"... In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theoretical fundamental diagrams. Specifically, we address the socalled “spatially homogeneous problem ” and, in the represe ..."
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Cited by 3 (2 self)
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In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theoretical fundamental diagrams. Specifically, we address the socalled “spatially homogeneous problem ” and, in the representative case of an exploratory model, we study the qualitative properties of its solutions for a generic number of discrete microstates. This includes, in particular, asymptotic trends and equilibria, whence fundamental diagrams originate.
From the microscale to collective crowd dynamics
 SIAM Multiscale Model. Simul
"... This paper deals with the kinetic theory modeling of crowd dynamics with the aim of showing how the dynamics at the microscale is transferred to the dynamics of collective behaviors. The derivation of a new model is followed by a qualitative analysis of the initial value problem. Existence of solu ..."
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Cited by 2 (1 self)
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This paper deals with the kinetic theory modeling of crowd dynamics with the aim of showing how the dynamics at the microscale is transferred to the dynamics of collective behaviors. The derivation of a new model is followed by a qualitative analysis of the initial value problem. Existence of solutions is proved for arbitrary large times, while simulations are developed by computational schemes based on splitting methods, where the transport equations treated by finite difference methods for hyperbolic equations. Some preliminary reasonings toward the modeling of panic conditions are proposed.