SearcharxivSearch

arXiv · 2510.09886

Modelling Intra-driver Behavioral Adaptation through Risk Sensitivity and Regime Transitions: A Task-difficulty Car-following Model

Abstract

Over the past decade, there has been a growing trend toward integrating human factors (HF) into traffic flow models to better understand the complexities of human behavior and its impact on traffic dynamics. This research seeks to advance this trend by bridging the gap between traditional car-following models and the inherent variability of human driving behavior. By incorporating these elements, our models provide valuable insights into how driver behavior adaptation and risk-taking influence traffic flow dynamics. Specifically, the study proposes a model called Intelligent Driver Model Task Saturation that integrates human behavioral adaptations and risk-taking strategies into a modified version of the established Intelligent Driver Model, enriched by a cognitive layer based on Fuller's Task Capability Interface model. This amalgamation offers a perspective on the interplay between driver behavior adaptation when the driving task saturates and the risk-taking strategy of drivers. When total task demand exceeds task capacity, drivers may adapt their behaviors in accordance with Fuller's risk allostasis theory, aiming to mitigate risk to acceptable levels. The model was calibrated utilizing data from driving simulator scenarios involving both normal and distracted driving and naturalistic data, ensuring its sensitivity to diverse driving behaviors and adaptive behavioral changes. We investigated the model in terms of behavioral soundness and model fitting. Our results demonstrate that the model effectively incorporates endogenous mechanisms to explain both inter- and intra-driver heterogeneities in driving behavior. Additionally, it generates two plausible HF: risk-taking and behavior adaptation. The findings of this study suggest a step forward in achieving a more realistic representation of driving behavior adaptation and risk-taking strategies.

Explore related subjects

Keep this discovery

BibTeXRIS

Mohammad Tamim Kashifi. 2025-10-10. Modelling Intra-driver Behavioral Adaptation through Risk Sensitivity and Regime Transitions: A Task-difficulty Car-following Model. https://arxiv.org/abs/2510.09886

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Projection Angles of Projectiles in Sports: Qualitative Assessment of the Effects of Aerodynamic Forces or Run-Up

We examine two major factors that influence the optimum projection angle: aerodynamic forces and the effect of run-up. With respect to aerodynamics, we consider not only the drag but also the lift generated by spin during flight. By linearizing the equations of motion that include these forces, we derive perturbation solutions with respect to drag and lift coefficients and clarify their qualitative effects. The results show that both drag and lift reduce the optimum projection angle, with the latter exerting a stronger influence. To investigate the effect of run-up, we use an extended projection model in which the initial speed depends on the initial angle. Analysis of this model reveals that a stronger run-up increases the relative projection angle but decreases the launch angle observed from the ground. These findings provide a mechanical explanation for the release angle in shot put and the takeoff angle in long jump. The present study establishes a simple theoretical framework for clarifying the respective roles of aerodynamic and run-up effects in determining the optimum projection angles in sports.

physics.class-ph

Dunkl-Based Modeling of Vibrational Modes in Lightweight Elastic Beams

Optimizing slender elastic structures for renewable energy applications requires non-classical continuum formulations capable of accounting for spatial micro-interactions without sacrificing analytical tractability. Here, we extend beam vibration mechanics by replacing standard spatial derivatives with the Dunkl differential operator. This modification introduces a reflection-coupled mathematical structure that accounts for spatial parity effects across the beam domain. We formulate the governing dynamic equations into a generalized eigenvalue problem and derive exact analytical expressions for modal characteristics under standard boundary conditions. The classical limit confirms exact convergence to classical Euler-Bernoulli formulations. Parametric analyses reveal that the Dunkl parameter acts as a reflection-induced modulation parameter, significantly shifting natural frequencies and altering the modal characteristics of higher modes. These results provide an analytical baseline for dynamic optimization in lightweight structural components.

physics.class-ph

A purely mechanical system realizing a Coulomb-like interaction

We solve in closed form a one-dimensional relativistic system: two masses interacting only through elastic collisions with a massless mediator bouncing between them. Momenta, times, and positions are hyperbolic functions of the collision index. The mediator energy, interpreted as the pair's effective potential, obeys an exact discrete Coulomb law, $V\propto 1/r$, with a Lorentz-invariant action as coupling. A massive Newtonian mediator instead transmits a $1/r^{3}$ force; one adiabatic invariant traces both laws to the mediator's dispersion relation. Continued to negative mediator energy, the closed forms turn trigonometric, binding a one-dimensional mechanical analog of the Coulomb atom.

physics.class-ph