Analysis of Optimal Velocity Model with Explicit Delay

Abstract

We analyze Optimal Velocity Model (OVM) with explicit delay. The properties of congestion and the delay time of car motion are investigated by analytical and numerical methods. It is shown that the small explicit delay time has almost no effects. In the case of the large explicit delay time, a new phase of congestion pattern of OVM seems to appear.

21 pages, 10 figures, Revtex

References in corpus (1)

• Delay of Vehicle Motion in Traffic Dynamics

Cited by in corpus (30)

• Traffic and Related Self-Driven Many-Particle Systems
• Delays, Inaccuracies and Anticipation in Microscopic Traffic Models
• Traffic experiment reveals the nature of car-following
• Delayed Feedback Control near Hopf Bifurcation
• Theoretical vs. Empirical Classification and Prediction of Congested Traffic States
• A Generative Car-following Model Conditioned On Driving Styles
• Towards a variational principle for motivated vehicle motion
• Safety-Critical Traffic Control by Connected Automated Vehicles
• Car-Following Models: A Multidisciplinary Review
• Enhancing System-Level Safety in Mixed-Autonomy Platoon via Safe Reinforcement Learning
• The Application of Driver Models in the Safety Assessment of Autonomous Vehicles: A Survey
• Leveraging Vehicle Connectivity and Autonomy to Stabilize Flow in Mixed Traffic Conditions: Accounting for Human-driven Vehicle Driver Behavioral Heterogeneity and Perception-reaction Time Delay
• Stability, convergence and Hopf bifurcation analyses of the classical car-following model
• Extended phase space description of human-controlled systems dynamics
• Power law observed in the motion of an asymmetric camphor boat under viscous conditions
• Virtual Rings on Highways: Traffic Control by Connected Automated Vehicles
• Automating Traffic Model Enhancement with AI Research Agent
• Using Empirical Trajectory Data to Design Connected Autonomous Vehicle Controllers for Traffic Stabilization
• Leader-Follower Identification with Vehicle-Following Calibration for Non-Lane-Based Traffic
• A rigorous multi-population multi-lane hybrid traffic model and its mean-field limit for dissipation of waves via autonomous vehicles
• Parsimonious shooting heuristic for trajectory control of connected automated traffic part I: Theoretical analysis with generalized time geography
• On the equivalence between continuum and car-following models of traffic flow
• The Modified Optimal Velocity Model: Stability Analyses and Design Guidelines
• Mitigating Traffic Oscillations in Mixed Traffic Flow with Scalable Deep Koopman Predictive Control
• Empirical analysis and simulation of the evolution concavity of traffic oscillations
• Cellular automaton model simulating spatiotemporal patterns, phase transitions and evolution concavity in traffic flow
• Multiple criteria decision-making for lane-change model
• Weakly nonlinear analysis for car-following model with consideration of cooperation and time delays
• Modelling vehicle and pedestrian collective dynamics: Challenges and advances
• Optimal separation between vehicles for maximum through a light signal