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A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is…

Computer Science and Game Theory · Computer Science 2023-05-24 Claudia Bandiera , Richard D. Connors , Francesco Viti

How to design tolls that induce socially optimal traffic loads with dynamically arriving travelers who make selfish routing decisions? We propose a two-timescale discrete-time stochastic dynamics that adaptively adjusts the toll prices on a…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

Optimization and Control · Mathematics 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

Urban traffic congestion remains a pressing challenge in our rapidly expanding cities, despite the abundance of available data and the efforts of policymakers. By leveraging behavioral system theory and data-driven control, this paper…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Alessio Rimoldi , Carlo Cenedese , Alberto Padoan , Florian Dörfler , John Lygeros

Deep learning models are widely used in decision-making and recommendation systems, where they typically rely on the assumption of a static data distribution between training and deployment. However, real-world deployment environments often…

Machine Learning · Computer Science 2025-11-04 Bo-Yi Liu , Zhi-Xuan Liu , Kuan Lun Chen , Shih-Yu Tsai , Jie Gao , Hao-Tsung Yang

Deep reinforcement learning (DRL) has been extensively applied to Multi-Unmanned Aerial Vehicle (UAV) network (MUN) to effectively enable real-time adaptation to complex, time-varying environments. Nevertheless, most of the existing works…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Bowei Li , Yang Xu , Ran Zhang , Jiang , Xie , Miao Wang

Electric vehicles (EVs) have been highly favoured as a future transportation mode in the transportation section in recent years. EVs have many advantages compared to traditional transportation, especially the environmental aspect. However,…

Optimization and Control · Mathematics 2022-04-26 Jaehee Jeong , Bissan Ghaddar , Nicolas Zufferey , Jatin Nathwani

We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the mathematical optimization problem is a convex second order…

Optimization and Control · Mathematics 2018-10-04 Miroslav Gardlo , Ľuboš Buzna , Rui Carvalho , Richard Gibbens , Frank Kelly

In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

Robotics · Computer Science 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

This paper aims to introduce a mathematical model to solve the time-dependent electric vehicles routing problem in shared travels. Shared mobility has gained significance recently due to its contribution to the alleviation of traffic…

Optimization and Control · Mathematics 2026-04-30 Alireza Yazdiani , Shayan Bafandkar , Amir Elmi , Yousef Shafahi

We develop an Euler-type method to predict the evolution of a time-dependent probability measure without explicitly learning an operator that governs its evolution. We use linearized optimal transport theory to prove that the measure-valued…

Zermelo's navigation problem seeks the trajectory of minimal travel time between two points in a fluid flow. We address this problem for an agent -- such as a micro-robot or active particle -- that is advected by a two-dimensional flow,…

Fluid Dynamics · Physics 2025-12-29 Vladimir Parfenyev

Statistical mechanics of a disordered system of cars on a single-lane road is developed. Behaviour of cars is defined by conditional probability of car velocity depending on the distance and velocity of the car ahead. A system consisting of…

Statistical Mechanics · Physics 2009-08-13 Anton Šurda

We develop a new theoretical framework for describing steady-state quantum transport phenomena, based on the general maximum-entropy principle of non-equilibrium statistical mechanics. The general form of the many-body density matrix is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Bokes , R. W. Godby

This paper proposes a robust optimal eco-driving control strategy considering multiple signalized intersections with uncertain traffic signal timing. A spatial vehicle velocity profile optimization formulation is developed to minimize the…

Optimization and Control · Mathematics 2018-02-21 Chao Sun , Xinwei Shen , Scott Moura

How can we rely on an end-to-end autonomous vehicle's complex decision-making system during deployment? One common solution is to have a ``fallback layer'' that checks the planned trajectory for rule violations and replaces it with a…

Robotics · Computer Science 2025-03-17 Chonghao Sima , Kashyap Chitta , Zhiding Yu , Shiyi Lan , Ping Luo , Andreas Geiger , Hongyang Li , Jose M. Alvarez

In this paper, we introduce a novel dynamic expert selection framework for Mixture of Experts (MoE) models, aiming to enhance computational efficiency and model performance by adjusting the number of activated experts based on input…

Machine Learning · Computer Science 2024-03-13 Quzhe Huang , Zhenwei An , Nan Zhuang , Mingxu Tao , Chen Zhang , Yang Jin , Kun Xu , Kun Xu , Liwei Chen , Songfang Huang , Yansong Feng

This research presents a novel approach to solving the economic load dispatch (ELD) problem in smart grid systems by leveraging a multi-agent distributed consensus strategy. The core idea revolves around achieving agreement among generators…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Arnab Pal , Suman Singha Roy , Asim Kumar Naskar

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…

Multiagent Systems · Computer Science 2014-01-09 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

We develop a Markovian traffic equilibrium model for ride-hailing in which vehicles, whether empty or hired, make sequential order-acceptance and link-choice decisions over a traffic network to maximize total discounted return in an…

Computer Science and Game Theory · Computer Science 2026-04-24 Song Gao , Hanyu Cheng , Chiwei Yan , Guocheng Jiang