Local stability conditions and calibrating procedure for new car-following models used in driving simulators
arXiv:1610.05257 · doi:10.1007/978-3-319-10629-8
Abstract
The Intelligent Driver Model is studied and several drawbacks with respect to driving simulators are defined. We present two modifications of the IDM. The first one gives any predefined distance to the leading vehicle in a steady state. The second modification is a combination of the first one and the optimal velocity model. It takes into account drivers reaction time explicitly and is described by delay differential equation. This model always results in realistic vehicles accelerations what allows simulating real traffic collisions. Necessary and sufficient conditions are obtained, that guarantee a non-oscillating solution near the equilibrium for the vehicle platoon. We suggest the calibrating framework based on a numerical solution of the constrained optimization problem. Nonlinear constraints are generated by the numerical integration scheme. The suggested procedure incorporates the local stability conditions obtained and takes into account vehicle dynamics, drivers behavior and weather conditions.
arXiv comment9 pages, 4 figures, contribution to the conference Traffic and Granular Flow '13 in Juelich. It is included in the Conference proceedings (Springer)
References in corpus (3)
Cited by in corpus (12)
- Single-vehicle data of highway traffic - a statistical analysis
- ESPResSo 4.0 -- An Extensible Software Package for Simulating Soft Matter Systems
- Asymmetric Simple Exclusion Process with Open Boundaries and Askey-Wilson Polynomials
- Body-rotation behavior of pedestrians for collision avoidance in passing and cross flow
- Self-Driven Particle Model for Mixed Traffic and Other Disordered Flows
- Intrinsic group behaviour: dependence of pedestrian dyad dynamics on principal social and personal features
- Cooling dynamics of a dilute gas of inelastic rods: a many particle simulation
- Jamming transitions in force-based models for pedestrian dynamics
- Microscopic Travel Time Analysis of Bottleneck Experiments
- Inflow process of pedestrians to a confined space
- Dynamic Pedestrian Traffic Assignment with Link Transmission Model for Bidirectional Sidewalk Networks
- Modeling of pedestrians