A hierarchy of models for multilane vehicular traffic I: modeling
SIAM Journal on Applied Mathematics
A hierarchy of models for multilane vehicular traffic II: numerical investigations
SIAM Journal on Applied Mathematics
Applications of Automatic Control Concepts to Traffic Flow Modeling and Control
Applications of Automatic Control Concepts to Traffic Flow Modeling and Control
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
Numerical Simulation of Macroscopic Traffic Equations
Computing in Science and Engineering
From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
Nonlinear Analysis: Real World Applications
Simulating mobile ad hoc networks in city scenarios
Computer Communications
Modeling transport networks with design pattern: application to hybrid traffic simulations
MOAS'07 Proceedings of the 18th conference on Proceedings of the 18th IASTED International Conference: modelling and simulation
Introducing recognition ratios for urban traffic flow simulation in virtual cities
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
Modeling transport networks with design pattern: application to hybrid traffic simulations
MS '07 The 18th IASTED International Conference on Modelling and Simulation
PLAMAGS: a language and environment to specify intelligent agents in virtual geo-referenced worlds
MS '08 Proceedings of the 19th IASTED International Conference on Modelling and Simulation
Distributed constraint satisfaction for urban traffic signal control
KSEM'07 Proceedings of the 2nd international conference on Knowledge science, engineering and management
A self-organizing architecture for traffic management
SOAR'09 Proceedings of the First international conference on Self-organizing architectures
Development of a cognitive-emotional model for driver behavior
KES-AMSTA'10 Proceedings of the 4th KES international conference on Agent and multi-agent systems: technologies and applications, Part II
Simulating mobile ad-hoc networks in city scenarios
WWIC'06 Proceedings of the 4th international conference on Wired/Wireless Internet Communications
Reinforcement learning ramp metering without complete information
Journal of Control Science and Engineering
On the role of source terms in continuum traffic flow models
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges
Mathematical and Computer Modelling: An International Journal
From experiments to hydrodynamic traffic flow models: I-modelling and parameter identification
Mathematical and Computer Modelling: An International Journal
Comparative analysis of agent-based and population-based modelling in epidemics and economics
Multiagent and Grid Systems
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We present simulations of congested traffic in circular and open systems with a nonlocal, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and macro-simulations with these models for identical vehicles on a single lane produce the same traffic states, which also qualitatively agree with empirical traffic observations. Moreover, the phase diagrams of traffic states in the presence of bottlenecks for the microscopic car-following model and the macroscopic gas-kinetic-based model almost agree. In both cases, we found metastable regimes, spatially coexistent states, and a small region of tristability. The distinction of different types of vehicles (cars and long vehicles) yields additional insight and allows us to reproduce empirical data even more realistically, including the observed fluctuation properties of traffic flows like the wide scattering of congested traffic data. Finally, as an alternative to the gas-kinetic approach, we propose a new scheme for deriving nonlocal macroscopic traffic models from given microscopic car-following models. Assuming identical (macroscopic) initial and boundary conditions, we show that there are microscopic models for which the corresponding macroscopic version displays an almost identical dynamics. This enables us to combine micro- and macro-simulations of road sections by simple algorithms, and even to simulate them simultaneously.