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We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the…

Optimization and Control · Mathematics 2020-05-11 Sandeep Menta , Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Predicting selfish behavior in public environments by considering Nash equilibria is a central concept of game theory. For the dynamic traffic assignment problem modeled by a flow over time game, in which every particle tries to reach its…

Optimization and Control · Mathematics 2020-07-06 Hoang Minh Pham , Leon Sering

We study the design of optimal allocation mechanisms in an environment where agents and goods arrive stochastically. Agents have private types that determine the principal payoff. Either agents or goods can be held in a queue at a flow cost…

Theoretical Economics · Economics 2026-02-05 Zihao Li , Xuandong Chen

The basic optimal transportation problem consists in finding the most effective way of moving masses from one location to another, while minimizing the transportation cost. Such concept has been found to be useful to understand various…

Computer Science and Game Theory · Computer Science 2011-06-10 Alonso Silva , Hamidou Tembine , Eitan Altman , Merouane Debbah

Modern navigation systems and shared mobility platforms increasingly rely on personalized route recommendations to improve individual travel experience and operational efficiency. However, a key question remains: can such sequential,…

Artificial Intelligence · Computer Science 2025-05-28 Leizhen Wang , Peibo Duan , Cheng Lyu , Zhenliang Ma

We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service completion. This may…

Performance · Computer Science 2015-03-18 U. Ayesta , M. Erausquin , M. Jonckheere , I. M. Verloop

The paper represents an algorithm for planning safe and optimal routes for transport facilities with unrestricted movement direction that travel within areas with obstacles. Paper explains the algorithm using a ship as an example of such a…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Ivan Yanchin , Oleg Petrov

Under a dramatic increase in mobile data traffic, a promising solution for edge computing systems to maintain their local service is the task migration that may be implemented by means of Autonomous mobile agents (AMA). In designing an…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Khai Doan , Wesley Araujo , Evangelos Kranakis , Ioannis Lambadaris , Yannis Viniotis , Wonjae Shin

This study investigates the trade-off between system stability and offloading cost in collaborative edge computing. While collaborative offloading among multiple edge servers enhances resource utilization, existing methods often overlook…

Networking and Internet Architecture · Computer Science 2025-09-16 Peiyan Yuan , Ming Li , Chenyang Wang , Ledong An , Xiaoyan Zhao , Junna Zhang , Xiangyang Li , Huadong Ma

For a sequence of dynamic optimization problems, we aim at discussing a notion of consistency over time. This notion can be informally introduced as follows. At the very first time step $t_0$, the decision maker formulates an optimization…

Optimization and Control · Mathematics 2010-05-21 Pierre Carpentier , Jean-Philippe Chancelier , Guy Cohen , Michel De Lara , Pierre Girardeau

This study investigates the theoretical properties of a departure time choice problem considering commuters' heterogeneity with respect to the value of schedule delay in corridor networks. Specifically, we develop an analytical method to…

Optimization and Control · Mathematics 2024-02-15 Takara Sakai , Takashi Akamatsu , Koki Satsukawa

Autonomous mobility-on-demand (AMoD) systems, centrally coordinated fleets of self-driving vehicles, offer a promising alternative to traditional ride-hailing by improving traffic flow and reducing operating costs. Centralized control in…

Optimization and Control · Mathematics 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Michel Gendreau , Maximilian Schiffer

The constrained multi-agent optimization problem of distributed resource allocation is addressed using the evolutionary game theoretic framework. The issue of building temperature control is analyzed in which the controller is to devise a…

Optimization and Control · Mathematics 2019-08-15 M. Sawant , J. Moyalan , J. Koonamparampath , A. Sheikh , S. Wagh , N. Singh

This paper presents a new condition for the existence of optimal stationary policies in average-cost continuous-time Markov decision processes with unbounded cost and transition rates, arising from controlled queueing systems. This…

Optimization and Control · Mathematics 2015-04-23 Cao Ping , Xie Jingui

One of the main problems that local authorities of large cities have to face is the regulation of urban mobility. They need to provide the means to allow for the efficient movement of people and distribution of goods. However, the…

Physics and Society · Physics 2024-01-24 Holger Billhardt , Alberto Fernández , Pasqual Martí , Javier Prieto Tejedor , Sascha Ossowski

We study a problem of optimal allocation in a discrete-time multi-period pure-exchange economy, where agents have preferences over stochastic endowment processes that are represented by strongly time-consistent dynamic risk measures. We…

Risk Management · Quantitative Finance 2026-03-23 Brandon Tam , Mario Ghossoub , Silvana M. Pesenti

Learning in games has been widely used to solve many cooperative multi-agent problems such as coverage control, consensus, self-reconfiguration or vehicle-target assignment. One standard approach in this domain is to formulate the problem…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Abbasali Koochakzadeh , Yasin Yazıcıoğlu

Routing strategies under the aegis of dynamic traffic assignment have been proposed in the literature to optimize system performance. However, challenges have persisted in their deployment ability and effectiveness due to inherent strong…

Physics and Society · Physics 2021-02-02 Chaojie Wang , Srinivas Peeta , Jian Wang

This paper studies an optimal control problem for a string of vehicles with safety requirements and finite-time specifications on the approach time to a target region. Our problem formulation is motivated by scenarios involving autonomous…

Optimization and Control · Mathematics 2017-07-14 Pavankumar Tallapragada , Jorge Cortes

Given the counters of vehicles that traverse the roads of a traffic network, we reconstruct the travel demand that generated them expressed in terms of the number of origin-destination trips made by users. We model the problem as a bi-level…

Optimization and Control · Mathematics 2022-06-02 Nicklas Sindlev Andersen , Marco Chiarandini , Kristian Debrabant