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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

Dynamic user equilibrium (DUE) is the most widely studied form of dynamic traffic assignment, in which road travelers engage in a non-cooperative Nash-like game with departure time and route choices. DUE models describe and predict the…

Optimization and Control · Mathematics 2018-10-02 Ke Han , Gabriel Eve , Terry Friesz

This study develops a hybrid analytical and numerical approach for dynamic user equilibrium (DUE) assignment with simultaneous route and departure time choice (RDTC) for homogeneous users. The core concept of the proposed approach is the…

Optimization and Control · Mathematics 2026-05-11 Takara Sakai , Takashi Akamatsu , Koki Satsukawa

In this study, we analyse the convergence and stability of dynamic system optimal (DSO) traffic assignment with fixed departure times. We first formulate the DSO traffic assignment problem as a strategic game wherein atomic users select…

Optimization and Control · Mathematics 2025-09-16 Koki Satsukawa , Kentaro Wada , David Watling

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

Dynamic user equilibrium (DUE) is a Nash-like solution concept describing an equilibrium in dynamic traffic systems over a fixed planning period. DUE is a challenging class of equilibrium problems, connecting network loading models and…

Systems and Control · Electrical Eng. & Systems 2021-06-16 Duong Viet Thong , Aviv Gibali , Mathias Staudigl , Phan Tu Vuong

The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Hao Fu , William H. K. Lam , Wei Ma , Yuxin Shi , Rui Jiang , Huijun Sun , Ziyou Gao

This paper is concerned with a dynamic traffic network performance model, known as dynamic network loading (DNL), that is frequently employed in the modeling and computation of analytical dynamic user equilibrium (DUE). As a key component…

Optimization and Control · Mathematics 2015-03-24 Ke Han , Terry L. Friesz

The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen

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…

Computer Science and Game Theory · Computer Science 2024-09-20 Lukas Graf , Tobias Harks , Kostas Kollias , Michael Markl

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

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

We consider a spatially distributed demand for electrical vehicle recharging, that must be covered by a fixed set of charging stations. Arriving EVs receive feedback on transport times to each station, and waiting times at congested ones,…

Optimization and Control · Mathematics 2024-04-02 Fernando Paganini , Andres Ferragut

The lack of a unique user equilibrium (UE) route flow in traffic assignment has posed a significant challenge to many transportation applications. The maximum-entropy principle, which advocates for the consistent selection of the most…

Computer Science and Game Theory · Computer Science 2024-01-17 Jiayang Li , Qianni Wang , Liyang Feng , Jun Xie , Yu Marco Nie

Departure time choice models play a crucial role in determining the traffic load in transportation systems. This paper introduces a new framework to model and analyze the departure time user equilibrium (DTUE) problem based on the so-called…

This paper analyzes simultaneous route-and-departure-time (SRDT) dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure time and route choices. Intrinsically, the…

Optimization and Control · Mathematics 2016-03-25 Ke Han , W. Y. Szeto , Terry L. Friesz

This study proves the non-existence of queues for a dynamic system optimal (DSO) departure pattern in a directed rooted tree network with a single destination. First, considering queueing conditions explicitly, we formulate the DSO problem…

Optimization and Control · Mathematics 2022-05-13 Takara Sakai , Koki Satsukawa , Takashi Akamatsu

In this paper we present a stable day-to-day dynamical system for drivers' departure time choice at a single bottleneck. We first define within-day traffic dynamics with the point queue model, costs, the departure time user equilibrium…

Optimization and Control · Mathematics 2018-01-30 Wen-Long Jin

Stochastic User Equilibrium (SUE) models depict the perception differences in traffic assignment problems. According to the assumption of an unbounded perceived travel time distribution, the conventional SUE problems result in a positive…

General Economics · Economics 2024-02-29 Songyot Kitthamkesorn , Anthony Chen
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