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Traffic and related self-driven many-particle systems (2000)

by Dirk Helbing
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Continuum limit of self-driven particles with orientation interaction

by P. Degond, S. Motsch , 2007
"... We consider ..."
Abstract - Cited by 73 (26 self) - Add to MetaCart
We consider
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...r can refer to [8, 11, 31] for recent viewpoints as well as to [6, 15, 37] for major landmarks in its mathematical theory. Hydrodynamic limits have been recently investigated in traffic flow modeling =-=[4, 20]-=- as well as in supply chain research [3, 14]. From the viewpoint of hydrodynamic limits, the originality of theorem 1.1 lies in the fact that the collision operator (i.e. the right-hand side of (1.1))...

Nonequilibrium steady states of matrix-product form: a solver guide

by R. A. Blythe, M. R. Evans , 2008
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Abstract - Cited by 65 (3 self) - Add to MetaCart
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Vehicular Mobility Simulation for VANETs

by Marco Fiore, Fethi Filali, Christian Bonnet - IEEE/SCS Annual Simulation Symposium , 2006
"... During the last few years, continuous progresses in wireless communications have opened new research fields in computer networking, aimed at extending data networks connectivity to environments where wired solutions are impracticable. Among these, vehicular traffic is attracting a growing attention ..."
Abstract - Cited by 56 (10 self) - Add to MetaCart
During the last few years, continuous progresses in wireless communications have opened new research fields in computer networking, aimed at extending data networks connectivity to environments where wired solutions are impracticable. Among these, vehicular traffic is attracting a growing attention from both academia and industry, due to the amount and impor-tance of the related applications, ranging from road safety to traffic control, up to mobile entertainment. Vehicular Ad-hoc Networks (VANETs) are self-organized networks built up from moving vehicles, and are part of the broader class of Mobile Ad-hoc Networks (MANETs). Because of their peculiar char-acteristics, VANETs require the definition of specific network-ing techniques, whose feasibility and performance are usually tested by means of simulation. One of the main challenges posed by VANETs simulations is the faithful characterization of vehicular mobility at both macroscopic and microscopic levels, leading to realistic non-uniform distributions of cars and ve-locity, and unique connectivity dynamics. In this paper we first present and describe VanetMobiSim, a freely available gener-ator of realistic vehicular movement traces for networks simu-lators.Then, VanetMobiSim is validated by illustrating how the interaction between featured macro- and micro-mobility is able to reproduce typical phenomena of vehicular traffic. 1.
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...cities [13]. In most of these models, only the macro-mobility of nodes is considered, although car-to-car interaction is a fundamental factor to take into account when dealing with vehicular mobility =-=[14]-=-. Further details on many of these models can be found in [15], [16], [17]. Several open-source tools for the generation of vehicular mobility patterns became available in the last few years. In the r...

A Comparison of Routing Strategies for Vehicular Ad-Hoc Networks

by Holger Füßler, Martin Mauve, Hannes Hartenstein, Michael Käsemann, Dieter Vollmer , 2002
"... In this paper we investigate the use of ad-hoc routing algorithms for the exchange of data between vehicles. There are two main aspects that are of interest in this context: the specific characteristics of ad-hoc networks formed by vehicles and the applicability of existing ad-hoc routing schemes to ..."
Abstract - Cited by 50 (7 self) - Add to MetaCart
In this paper we investigate the use of ad-hoc routing algorithms for the exchange of data between vehicles. There are two main aspects that are of interest in this context: the specific characteristics of ad-hoc networks formed by vehicles and the applicability of existing ad-hoc routing schemes to networks that display these characteristics. In order to address both aspects we generate realistic vehicular movement patterns of highway traffic scenarios using a well validated traffic simulation tool. Based on these patterns we show that the characteristics of vehicular ad-hoc networks are quite different from the frequently used random waypoint model. We then proceed to evaluate the performance of a reactive ad-hoc routing protocol (DSR) and of a position-based approach (greedy forwarding as done in GPSR) in combination with a simple reactive location service. Our analysis suggests that for vehicular networks where communication spans more than 2 or 3 hops position-based ad-hoc routing has significant advantages over reactive non-position-based approaches both in the number of successfully delivered packets and in routing overhead.

Self-Control of Traffic Lights and Vehicle Flows in Urban Road Networks

by Stefan Lämmer, Dirk Helbing , 2008
"... Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in (urban) networks, we study the problem of coordinating incompatible traffic flows at intersections. Inspired by the observation of self-organized oscillations of pedestrian flows at bottlenecks [D. Helbing and P ..."
Abstract - Cited by 42 (11 self) - Add to MetaCart
Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in (urban) networks, we study the problem of coordinating incompatible traffic flows at intersections. Inspired by the observation of self-organized oscillations of pedestrian flows at bottlenecks [D. Helbing and P. Molnár, Phys. Rev. E 51 (1995) 4282–4286], we propose a self-organization approach to traffic light control. The problem can be treated as multi-agent problem with interactions between vehicles and traffic lights. Specifically, our approach assumes a priority-based control of traffic lights by the vehicle flows themselves, taking into account short-sighted anticipation of vehicle flows and platoons. The considered local interactions lead to emergent coordination patterns such as “green waves ” and achieve an efficient, decentralized traffic light control. While the proposed self-control adapts flexibly to local flow conditions and often leads to non-cyclical switching patterns with changing service sequences of different traffic flows, an almost periodic service may evolve under certain conditions and suggests the existence of a spontaneous synchronization of traffic lights despite the varying delays due to variable vehicle queues and travel times. The self-organized traffic light control is based on an optimization and a stabilization rule, each of which performs poorly at high utilizations of the road network, while their proper combination reaches a superior performance. The result is a considerable reduction not only in the average travel times, but also of their variation. Similar control approaches could be applied to the coordination of logistic and production processes.
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...on-equilibrium systems and have been studied extensively in the field of statistical physics [2–4]. Much attention was devoted to the study of self-organized phenomena in driven many-particle systems =-=[5]-=- such as pedestrian flows [6,7] or traffic flows on highways [8,9]. In order to explain phenomena like the emergence of traffic jams [10,11] or stop-and-go waves [12–14], a huge variety of different t...

Delays, Inaccuracies and Anticipation in Microscopic . . .

by Martin Treiber, Arne Kesting, Dirk Helbing , 2005
"... We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i) finite reaction times, (ii) estimation errors, (iii) looking several vehicles ahead (spatial anticipation), and (iv) t ..."
Abstract - Cited by 40 (11 self) - Add to MetaCart
We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i) finite reaction times, (ii) estimation errors, (iii) looking several vehicles ahead (spatial anticipation), and (iv) temporal anticipation. The estimation errors are modelled as stochastic Wiener processes and lead to time-correlated fluctuations of the acceleration. We show that the destabilizing effects of reaction times and estimation errors can essentially be compensated for by spatial and temporal anticipation, that is, the combination of stabilizing and destabilizing effects results in the same qualitative macroscopic dynamics as that of the respectively underlying simple car-following model. In many cases, this justifies the use of simplified, physics-oriented models with a few parameters only. Although the qualitative dynamics is unchanged, multianticipation increase both spatial and temporal scales of stop-and-go waves and other complex patterns of congested traffic in agreement with real traffic data. Remarkably, the anticipation allows accident-free smooth driving in complex traffic situations even if reaction times exceed typical time headways.

Multiscale modeling of granular flows with application to crowd dynamics

by Emiliano Cristiani , Benedetto Piccoli, Andrea Tosin , 2010
"... ..."
Abstract - Cited by 37 (13 self) - Add to MetaCart
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Empirical features of congested traffic states and their implications for traffic modeling

by Martin Schönhof, Dirk Helbing - TRANSPORTATION SCIENCE , 2004
"... We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 breakdowns of traffic flow in 165 days, we have identified five different kinds of spatio-temporal congestion patterns and th ..."
Abstract - Cited by 34 (9 self) - Add to MetaCart
We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 breakdowns of traffic flow in 165 days, we have identified five different kinds of spatio-temporal congestion patterns and their combinations. Based on an “adaptive smoothing method” for the visualization of detector data, we also discuss particular features of breakdowns such as the “boomerang effect ” which is a sign of linearly unstable traffic flow. Controversial issues such as “synchronized flow” or stop-and-go waves are addressed as well. Finally, our empirical results are compared with different theoretical concepts and interpretations of congestion patterns, in particular first- and second-order macroscopic traffic models.

On the mathematical theory of vehicular traffic flow I: Fluid dynamic and kinetic modelling

by N. Bellomo, M. Delitala, V. Coscia - MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES , 2002
"... This review reports the existing literature on traffic flow modelling in the framework of a critical overview which aims to indicate research perspectives. The contents mainly refer to modelling by fluid dynamic and kinetic equations and are arranged in three parts. The first part refers to methodol ..."
Abstract - Cited by 30 (5 self) - Add to MetaCart
This review reports the existing literature on traffic flow modelling in the framework of a critical overview which aims to indicate research perspectives. The contents mainly refer to modelling by fluid dynamic and kinetic equations and are arranged in three parts. The first part refers to methodological aspects of mathematical modelling and to the interpretation of experimental results. The second part is devoted to modelling and deals both with methodological aspects and with the description of some specific models. The third part reports about an overview on applications and research perspectives.

Performance Comparison of AODV and OLSR in VANETs Urban Environments under Realistic Mobility Patterns

by Jérôme Haerri
"... Abstract — A Vehicular Ad Hoc Network (VANET) is an instance of MANETs that establishes wireless connections between cars. In VANETs, routing protocols and other techniques must be adapted to vehicular-specific capabilities and requirements. As many previous works have shown, routing performance is ..."
Abstract - Cited by 27 (1 self) - Add to MetaCart
Abstract — A Vehicular Ad Hoc Network (VANET) is an instance of MANETs that establishes wireless connections between cars. In VANETs, routing protocols and other techniques must be adapted to vehicular-specific capabilities and requirements. As many previous works have shown, routing performance is greatly dependent to the availability and stability of wireless links, which makes it a crucial parameter that should not be neglected in order to obtain accurate performance measurements in VANETs. Although routing protocols have already been analyzed and compared in the past, simulations and comparisons have almost always been done considering random motions. But could we assess that those results hold if performed using realistic urban vehicular motion patterns? In this paper, we evaluate AODV and OLSR performance in realistic urban scenarios. We study those protocols under varying metrics such as node mobility and vehicle density, and with varying traffic rates. We show that clustering effects created by cars aggregating at intersections have remarkable impacts on evaluation and performance metrics. Our objective is to provide a qualitative assessment of the applicability of the protocols in different vehicular scenarios.
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...eral framework for mobility models generation described in [14], and capable of modeling detailed vehicular movements in different traffic conditions. Following the general classification proposed by =-=[15]-=-, VMM contains a microscopic and a macroscopic component: A. Macro-Mobility The macro-model is represented by a graph where vertices and edges represent, respectively, junction and road elements. As p...

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