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Proceedings ArticleDOI

A computational study of a variant of the Optimal Velocity Model with no collisions

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TLDR
N numerically compare the OVM analysed by Orosz et al.
Abstract
The Optimal Velocity Model (OVM) is a car-following model that captures some interesting real-world phenomena. There are two key variants of this model, which depend on whether they capture the dynamics of a platoon of vehicles travelling on a circular loop, or on an infinitely long road. In this paper, we numerically compare the OVM analysed by Orosz et al. [8] (which considers a circular loop) and the recently-proposed Modified Optimal Velocity Model (MOVM) (which considers an infinitely long road). A key insight obtained is that the variant with periodic boundary conditions could lead to collisions, which appears to be absent in the MOVM. We also derive a necessary condition for non-oscillatory convergence of the MOVM for autonomous vehicles to avoid oscillatory movements.

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Citations
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Journal ArticleDOI

The modified optimal velocity model: stability analyses and design guidelines

TL;DR: In this article, the authors investigated the impact of delayed feedback on the dynamics of the Modified Optimal Velocity Model (MOVM) in three regimes: no delay, small delay and arbitrary delay.
Journal ArticleDOI

The Modified Optimal Velocity Model: Stability Analyses and Design Guidelines

TL;DR: In this paper, the authors investigated the impact of delayed feedback on the dynamics of the Modified Optimal Velocity Model (MOVM) in three regimes: no delay, small delay and arbitrary delay.
References
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Statistical physics of vehicular traffic and some related systems

TL;DR: In this paper, a critical review of particle-hopping models of vehicular traffic is presented, focusing on the results obtained mainly from the so-called "particle hopping" models, particularly emphasizing those formulated in recent years using the language of cellular automata.

Recent Development and Applications of SUMO - Simulation of Urban MObility

TL;DR: The current state of the SUMO package, its major applications, both by research topic and by example, as well as future developments and extensions are described.
Book

Simulating, analyzing, and animating dynamical systems : a guide to XPPAUT for researchers and students

TL;DR: A very brief tour of XPPAUT can be found in this paper, where the authors present a technique for writing ODE files for Differential Equations for differentially Equations.
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