Analytical solutions of pattern formation for a class of discrete Aw–Rascle–Zhang traffic models

Gaididei, Yuri; Christiansen, Peter Leth; Sørensen, Mads Peter; Rasmussen, Jens Juul

doi:10.1016/j.cnsns.2019.02.026

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…The AQI values are usually monitored and communicated by the designated government bodies to the public for notifications on the level of air quality [35]. These values are generally monitored by embedded air pollution monitoring equipment's specially designed for sensing humidity, pressure, CO 2 levels, other pollutants level, wind direction, wind speed and rainfall [36], [37].…”

Section: Air Quality Modellingmentioning

confidence: 99%

Modeling Traffic Congestion Based on Air Quality for Greener Environment: An Empirical Study

et al. 2019

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The primary focus of this paper is to govern traffic congestion on urban road networks based upon a cumulative approach comprising of traffic flow modeling, vehicle emission modeling, and air quality modeling. Based upon the traffic conditions, a simulation model is proposed and further tested for performance metrics, which is relative to three main aspects, namely, the waiting time of the vehicles at the junctions/intersections/signals, the type of pollutant emitted by a vehicle, and the traveling time. The experimental analysis and validation are carried out for different case studies in Malaysia, such as Petaling Jaya, Shah Alam, Mont Kiara, and Jalan Tun Razak. Three different scenarios (morning, afternoon, and evening) are analyzed and tested to explore the traffic usage parameter. The results showed that when traffic is modeled and governed based upon traffic flow, vehicle emission, and air quality index (AQI), nearly 75% of traffic congestion is mitigated, hence making the atmosphere pollution free as well as avoiding Urban Heat Island (UHI) effect due to the heat generated from vehicles. The experimental results are tested, validated, and compared with existing solutions for performance analysis. The proposed model is aimed toward overcoming the major drawbacks of existing approaches, such as single-path suggestions, traffic delay during peak hours/emergencies, non-recurring congestion consideration, congestion avoidance instead of recovering from it, improper reporting of road accidents, and notifications about traffic jam ahead to the users and high vehicle usage rate.

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Section: Air Quality Modellingmentioning

confidence: 99%

Modeling Traffic Congestion Based on Air Quality for Greener Environment: An Empirical Study

et al. 2019

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Recurrence analysis of urban traffic congestion index on multi-scale

Zhou

et al. 2022

Physica A: Statistical Mechanics and its Applications

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Development and Analysis of Novel Integrable Nonlinear Dynamical Systems on Quasi-One-Dimensional Lattices. Two-Component Nonlinear System with the On-Site and Spatially Distributed Inertial Mass Parameters

Vakhnenko,

Vakhnenko

2024

Ukr. J. Phys.

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The main principles of developing the evolutionary nonlinear integrable systems on quasi-onedimensional lattices are formulated in clear mathematical and physical terms discarding the whimsical mathematical formulations and computer-addicted presentations. These basic principles are substantiated by the actual development of novel semi-discrete integrable nonlinear system, whose auxiliary spectral and evolutionary operators are given by 4 × 4 square matrices. The procedure of reduction from the prototype nonlinear integrable system with twelve field functions to the physically meaningful nonlinear integrable system with four field functions is described in details prompted by our previous cumulative experience. The obtained ultimate semi-discrete nonlinear integrable system comprises the two subsystems of essentially distinct physical origins. Thus, the first subsystem is the subsystem of the Toda type. It is characterized by the on-site (spatially local) mass parameter and the positively defined elasticity coefficient. In contrast, the second subsystem is characterized by the spatially distributed mass parameters and the negatively defined elasticity coefficient responsible for the low-amplitude instability. We believe our scrupulous consideration of all main steps in developing the semidiscrete nonlinear integrable systems will be useful for the researchers unfamiliar with the numerous stumbling blocks inevitable in such an interesting and prospective scientific field as the theory of semi-discrete nonlinear integrable systems.

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Analytical solutions of pattern formation for a class of discrete Aw–Rascle–Zhang traffic models

Cited by 3 publications

References 23 publications

Modeling Traffic Congestion Based on Air Quality for Greener Environment: An Empirical Study

Modeling Traffic Congestion Based on Air Quality for Greener Environment: An Empirical Study

Recurrence analysis of urban traffic congestion index on multi-scale

Development and Analysis of Novel Integrable Nonlinear Dynamical Systems on Quasi-One-Dimensional Lattices. Two-Component Nonlinear System with the On-Site and Spatially Distributed Inertial Mass Parameters

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