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In this Doctoral Dissertation we propose new variational principles for traffic assignment problems. So to find equillibrium we have to solve large-scale convex optimization problem of special (multilevel) type. We propose different…

最优化与控制 · 数学 2017-06-26 Alexander Gasnikov

We initiate the study of dynamic traffic assignment for electrical vehicles addressing the specific challenges such as range limitations and the possibility of battery recharge at predefined charging locations. We pose the dynamic…

计算机科学与博弈论 · 计算机科学 2022-07-12 Lukas Graf , Tobias Harks , Prashant Palkar

We introduce a new theoretical framework to analyze deep learning optimization with connection to its generalization error. Existing frameworks such as mean field theory and neural tangent kernel theory for neural network optimization…

机器学习 · 计算机科学 2020-10-28 Taiji Suzuki

One of the potential capabilities of Connected and Autonomous Vehicles (CAVs) is that they can have different route choice behavior and driving behavior compared to human Driven Vehicles (HDVs). This will lead to mixed traffic flow with…

系统与控制 · 电气工程与系统科学 2023-01-27 Behzad Bamdad Mehrabani , Jakob Erdmann , Luca Sgambi , Seyedehsan Seyedabrishami , Maaike Snelder

Congestion pricing is used to raise revenues and reduce traffic and pollution. However, people have heterogeneous spatial demand patterns and willingness (or ability) to pay tolls, and so pricing may have substantial equity implications. We…

计算机科学与博弈论 · 计算机科学 2026-04-01 Alfredo Torrico , Natthawut Boonsiriphatthanajaroen , Nikhil Garg , Andrea Lodi , Hugo Mainguy

A transition period from regular vehicles (RVs) to autonomous vehicles (AVs) is imperative. This article explores both types of vehicles using a route choice model, formulated as a stochastic multi-class traffic assignment (SMTA) problem.…

最优化与控制 · 数学 2022-12-13 S. Roozbeh Mousavi , Alireza Yazdiani , Yousef Shafahi

We study a dynamic traffic assignment model, where agents base their instantaneous routing decisions on real-time delay predictions. We formulate a mathematically concise model and define dynamic prediction equilibrium (DPE) in which no…

计算机科学与博弈论 · 计算机科学 2024-09-20 Lukas Graf , Tobias Harks , Kostas Kollias , Michael Markl

User equilibrium is a central concept for studying transportation networks, and one can view it as the result of a dynamical process of drivers' route choice behavior. In this paper, based on a definition of O-D First-In-First-Out…

动力系统 · 数学 2007-11-20 Wen-Long Jin

In vehicular traffic planning it is a long standing problem how to assign demand such on the available model of a road network that an equilibrium with regard to travel time or generalized costs is realized. For pedestrian traffic this…

多智能体系统 · 计算机科学 2014-01-09 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

其他凝聚态物理 · 物理学 2009-11-10 K. Thomas Waldeer

We propose a generalized market equilibrium model using assignment game criteria for evaluating transportation systems that consist of both operators' and users' decisions. The model finds stable pricing, in terms of generalized costs, and…

计算工程、金融与科学 · 计算机科学 2020-08-14 Saeid Rasulkhani , Joseph Y. J. Chow

The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simulations to reach a user equilibrium (UE) where no driver can…

最优化与控制 · 数学 2026-05-08 Isolda Cardoso , Lucas Venturato , Jorgelina Walpen

We introduce a prioritized system-optimal algorithm for mandatory lane change (MLC) behavior of connected and automated vehicles (CAV) from a dedicated lane. Our approach applies a cooperative lane change that prioritizes the decisions of…

机器人学 · 计算机科学 2021-04-26 Nachuan Li , Austen Z. Fan , Riley Fischer , Wissam Kontar , Bin Ran

We introduce a new framework for efficient sampling from complex probability distributions, using a combination of optimal transport maps and the Metropolis-Hastings rule. The core idea is to use continuous transportation to transform…

统计计算 · 统计学 2019-06-11 Matthew Parno , Youssef Marzouk

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

机器学习 · 计算机科学 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

In this paper, we develop an optimal weight adaptation strategy of model predictive control (MPC) for connected and automated vehicles (CAVs) in mixed traffic. We model the interaction between a CAV and a human-driven vehicle (HDV) as a…

系统与控制 · 电气工程与系统科学 2023-03-14 Viet-Anh Le , Andreas A. Malikopoulos

In this paper, we consider a class of transportation problems which arises in sample surveys and other areas of statistics. The associated cost matrices of these transportation problems are of special structure. We observe that the…

最优化与控制 · 数学 2020-07-13 A. K. Das , Deepmala , R. Jana

Recent advancements in vehicle autonomy have drawn interest in understanding the impact of autonomous vehicles on traffic systems. In this paper, we study a traffic assignment problem in a mixed-autonomy setting where both human-driven and…

计算机科学与博弈论 · 计算机科学 2026-05-25 Lihui Yi , Ermin Wei

With the global energy transition and the rapid penetration of electric vehicles (EVs), the widening travel cost gap between EVs and gasoline vehicles (GVs) increasingly affects commuters' route choices and may reshape urban congestion…

系统与控制 · 电气工程与系统科学 2026-02-10 Xiaohan Xu , Wei Ma , Zhiheng Shi , Xiaotong Xu , Bin He , Kairui Feng

We study the convergence of an $N$-particle Markovian controlled system to the solution of a family of stochastic McKean-Vlasov control problems, either with a finite horizon or Schr\"odinger type cost functional. Specifically, under…

概率论 · 数学 2024-05-22 Francesco C. De Vecchi , Chiara Rigoni