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This study investigates dynamic system-optimal (DSO) and dynamic user equilibrium (DUE) traffic assignment of departure/arrival-time choices in a corridor network. The morning commute problems with a many-to-one pattern of…

Optimization and Control · Mathematics 2025-09-16 Haoran Fu , Takashi Akamatsu , Koki Satsukawa , Kentaro Wada

Traffic management by applying congestion pricing is a measure for mitigating congestion in protected city corridors. As a promising tool, pricing improves the level of service in a network and reduces travel delays. However, real-world…

Robotics · Computer Science 2021-12-14 Alexander Genser , Anastasios Kouvelas

In this study, we analyse the global stability of the equilibrium in a departure time choice problem using a game-theoretic approach that deals with atomic users. We first formulate the departure time choice problem as a strategic game in…

Optimization and Control · Mathematics 2025-02-21 Koki Satsukawa , Kentaro Wada , Takamasa Iryo

In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

Optimization and Control · Mathematics 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

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…

Dynamical Systems · Mathematics 2007-11-20 Wen-Long Jin

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

Theoretical Economics · Economics 2025-12-22 Shota Fujishima

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

Computer Science and Game Theory · Computer Science 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

We propose an optimal solution to a deterministic dynamic assignment problem by leveraging connections to the theory of discrete optimal transport to convert the combinatorial assignment problem into a tractable linear program. We seek to…

Multiagent Systems · Computer Science 2019-10-25 Koray G. Kachar , Alex A. Gorodetsky

Traffic assignment analyzes traffic flows in road networks that emerge due to traveler interaction. Traditionally, travelers are assumed to use private cars, so road costs grow with the number of users due to congestion. However, in…

Computer Science and Game Theory · Computer Science 2025-02-10 Thomas Bläsius , Adrian Feilhauer , Markus Jung , Moritz Laupichler , Peter Sanders , Michael Zündorf

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…

Computational Engineering, Finance, and Science · Computer Science 2020-08-14 Saeid Rasulkhani , Joseph Y. J. Chow

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

Traffic assignment is an integral part of urban city planning. Roads and freeways are constructed to cater to the expected demands of the commuters between different origin-destination pairs with the overall objective of minimising the…

Systems and Control · Computer Science 2018-10-22 Anant Chopra , Deepak S. Kalhan , Amrit S. Bedi , Abhishek K. Gupta , Ketan Rajawat

We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

Optimization and Control · Mathematics 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

Tolling in traffic networks offers a popular measure to minimize overall congestion. Existing toll designs primarily focus on congestion in route-based traffic assignment models (TAMs), in which travelers make a single route selection from…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry

Extensions of the static traffic assignment problem with link interactions were studied extensively in the past. Much of the network modeling community has since shifted to dynamic traffic assignment incorporating these interactions. We…

Optimization and Control · Mathematics 2023-02-24 Priyadarshan N. Patil

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

We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the…

Optimization and Control · Mathematics 2018-02-13 Han Qiu , Ruimin Li , Jinhua Zhao

We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter…

Optimization and Control · Mathematics 2019-01-30 Rosario Maggistro , Giacomo Como

Mass transit systems are experiencing increasing congestion in many cities. The schedule-based transit assignment problem (STAP) involves a joint choice model for departure times and routes, defining a space-time path in which passengers…

Optimization and Control · Mathematics 2025-05-29 Xia Zhou , Mark Wallace , Daniel D. Harabor , Zhenliang Ma

Under the Markov decision process (MDP) congestion game framework, we study the problem of enforcing population distribution constraints on a population of players with stochastic dynamics and coupled congestion costs. Existing research…

Computer Science and Game Theory · Computer Science 2022-08-16 Sarah H. Q. Li , Yue Yu , Nicolas Miguel , Dan Calderone , Lillian J. Ratliff , Behcet Acikmese
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