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40
Nonequilibrium critical phenomena and phase transitions into absorbing states
 ADVANCES IN PHYSICS
, 2000
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LargeScale Traffic Simulations for Transportation Planning
, 2002
"... An agentbased approach to simulation for transportation planning applications offers a lot of conceptual flexibility. Many millions of agents plus many hundreds of thousands of elements of transportation infrastructure need to be represented. For transportation planning applications, the demand ..."
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Cited by 22 (1 self)
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An agentbased approach to simulation for transportation planning applications offers a lot of conceptual flexibility. Many millions of agents plus many hundreds of thousands of elements of transportation infrastructure need to be represented. For transportation planning applications, the demand needs to be sensitive to changes in supply, which implies that besides the realistic representation of the transportation system it is also necessaxy to represent people's decisionmaking process leading to the demand.
The asymmetric exclusion process: Comparison of update procedures
 J. Stat. Phys
, 1998
"... Abstract The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model for nonequilibrium systems. Here we study the ASEP fo ..."
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Abstract The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model for nonequilibrium systems. Here we study the ASEP for different types of updates, namely randomsequential, sequential, sublatticeparallel and parallel. In order to compare the effects of the different update procedures on the properties of the stationary state, we use largescale Monte Carlo simulations and analytical methods, especially the socalled matrixproduct Ansatz (MPA). We present in detail the exact solution for the model with sublatticeparallel and sequential updates using the MPA. For the case of parallel update, which is important for applications like traffic flow theory, we determine the phase diagram, the current, and density profiles based on Monte Carlo simulations. We furthermore suggest a MPA for that case and derive the corresponding matrix algebra. Key Words: Asymmetric exclusion process; boundaryinduced phase transitions; steady state; matrix product Ansatz; discretetime updates
Deterministic Models for Traffic Jams
, 1993
"... We study several deterministic onedimensional traffic models. For integer positions and velocities we find the typical high and low density phases separated by a simple transition. If positions and velocities are continuous variables the model shows selforganized criticality driven by the slowest ..."
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Cited by 17 (5 self)
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We study several deterministic onedimensional traffic models. For integer positions and velocities we find the typical high and low density phases separated by a simple transition. If positions and velocities are continuous variables the model shows selforganized criticality driven by the slowest car.
The spatial variability of vehicle densities as determinant of urban network capacity
, 2010
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Lifetimes of simulated traffic jams
 International Journal of Modern Physics C
, 1994
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Towards a Unified View of Microscopic Traffic Flow Theories
, 1997
"... Modeling and simulation of traffic has a long tradition. A vast number of different approaches have been used to simulate traffic, each of which has been calibrated and validated separately. This work aims at the way different models are interrelated. It is shown how one can, starting from very gene ..."
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Cited by 5 (0 self)
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Modeling and simulation of traffic has a long tradition. A vast number of different approaches have been used to simulate traffic, each of which has been calibrated and validated separately. This work aims at the way different models are interrelated. It is shown how one can, starting from very general modeling assumptions, construct a family of car following models that contains models closely related to wellknown simulation models as special cases. Investigating this model family it can be shown, which models are qualitatively equivalent and which are not. This gives important hints as to which model approaches can in principle be unified.
Analytical approaches to cellular automata for traffic flow: Approximations and exact results
"... Abstract. Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an analytical description of the NagelSchreckenberg (NaSch ..."
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Abstract. Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an analytical description of the NagelSchreckenberg (NaSch) model and its variants. These methods yield the exact solution for the special case vmax = 1 of the NaSch model and are good approximations for higher values of the velocity (vmax> 1). We discuss the validity of these approximations and the conclusions for the underlying physics that can be drawn from the success or failure of the approximation. 1
Online Traffic Simulation with Cellular Automata
 Traffic and Mobility: SimulationEconomicsEnvironment
, 1999
"... this paper is as follows: Firstly, the cellular automaton approach is introduced. Relevant quantities of the measurements are presented. Additionally, an overview of modifications of the original model is given which are needed to reproduce a variety of effects known from real traffic under several ..."
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this paper is as follows: Firstly, the cellular automaton approach is introduced. Relevant quantities of the measurements are presented. Additionally, an overview of modifications of the original model is given which are needed to reproduce a variety of effects known from real traffic under several conditions. We will also present analytical treatments valid at least in certain limits or approximations. The underlying road network and database are described in the third section. Some measurements of the network and the reproduction of traffic states are discussed in section four.
Cellular Automata for Traffic Flow Modeling
"... In this paper, we explore the usefulness of cellular automata to traffic flow modeling. We extend some of the existing CA models to capture characteristics of traffic flow that have not been possible to model using either conventional analytical models or existing simulation techniques. In particula ..."
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In this paper, we explore the usefulness of cellular automata to traffic flow modeling. We extend some of the existing CA models to capture characteristics of traffic flow that have not been possible to model using either conventional analytical models or existing simulation techniques. In particular, we examine higher moments of traffic flow and evaluate their effect on overall traffic performance. The behavior of these higher moments is found to be surprising, somewhat counterintuitive, and to have important important implications for design and control of traffic systems. For example, we show that the density of maximum throughput is near the density of maximum speed variance. Contrary to current practice, traffic should, therefore, be steered away from this density region. For deterministic systems, we found traffic flow to possess a finite period which is highly sensitive to density in a nonmonotonic fashion. We show that knowledge of this periodic behavior to be very useful in ...