10 citations · 27 across the 13 of their papers we have counts for
14 papers
Optimal Control of Traveler Testing in Epidemic Models
Maria Teresa Chiri, Christopher Denaro, Xiaoqian Gong +1
We propose an optimal control framework for mitigating cross-border epidemic spread through testing of incoming travelers. The general model considers multiple countries with SEIR…
Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone +2
In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises…
The incremental voter model: mean-field analysis and convergence to equilibrium
Fei Cao, Xiaoqian Gong
We introduce the incremental voter model (IVM), a discrete-opinion multi-agent system where agents undergo step-wise transitions biased by the opinion of a randomly selected persua…
Properties of Measure Controls and Their Trajectories
Mauro Garavello, Xiaoqian Gong, Benedetto Piccoli
This paper deals with the concepts of measure controls and of measure vector fields, within the mathematical framework of measure differential equations (MDEs), recently proposed i…
Hybrid multi-population traffic flow model: Optimal control for a mean-field limit
Maria Teresa Chiri, Christopher Denaro, Xiaoqian Gong +1
Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle population…
Post Clifford semigroups, the Yang-Baxter equation, relative Rota--Baxter Clifford semigroups and dual weak left braces
Xiaoqian Gong, Shoufeng Wang
As generalizations of Rota--Baxter groups, Rota--Baxter Clifford semigroups have been introduced by Catino, Mazzotta and Stefanelli in 2023. Based on their pioneering results, in t…
On the equivalence between Fourier-based and Wasserstein distances for probability measures on
Fei Cao, Xiaoqian Gong
In this manuscript we investigate the equivalence of Fourier-based metrics on discrete state spaces with the well-known Wasserstein distances. While the use of Fourier-based metric…
Traffic Control via Connected and Automated Vehicles: An Open-Road Field Experiment with 100 CAVs
Jonathan W. Lee, Han Wang, Kathy Jang +61
The CIRCLES project aims to reduce instabilities in traffic flow, which are naturally occurring phenomena due to human driving behavior. These "phantom jams" or "stop-and-go waves,…
A rigorous multi-population multi-lane hybrid traffic model and its mean-field limit for dissipation of waves via autonomous vehicles
Nicolas Kardous, Amaury Hayat, Sean T. McQuade +7
In this paper, a multi-lane multi-population microscopic model, which presents stop and go waves, is proposed to simulate traffic on a ring-road. Vehicles are divided between human…
A measure model for the spread of viral infections with mutations
Xiaoqian Gong, Benedetto Piccoli
Genetic variations in the COVID-19 virus are one of the main causes of the COVID-19 pandemic outbreak in 2020 and 2021. In this article, we aim to introduce a new type of model, a…
Integrated Framework of Vehicle Dynamics, Instabilities, Energy Models, and Sparse Flow Smoothing Controllers
Jonathan W. Lee, George Gunter, Rabie Ramadan +25
This work presents an integrated framework of: vehicle dynamics models, with a particular attention to instabilities and traffic waves; vehicle energy models, with particular atten…
Limitations and Improvements of the Intelligent Driver Model (IDM)
Saleh Albeaik, Alexandre Bayen, Maria Teresa Chiri +7
This contribution analyzes the widely used and well-known "intelligent driver model (briefly IDM), which is a second order car-following model governed by a system of ordinary diff…
Mean-field limit of a hybrid system for multi-lane multi-class traffic
Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-dr…
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law
Xiaoqian Gong, Matthias Kawski
We revisit a well-established model for highly re-entrant semi-conductor manufacturing systems, and analyze it in the setting of states, in- and outfluxes being Borel measures. Thi…