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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

This paper is concerned with the existence of the simultaneous route-and-departure choice dynamic user equilibrium (SRDC-DUE) in continuous time, first formulated as an infinite-dimensional variational inequality in Friesz et al. (1993). In…

Optimization and Control · Mathematics 2016-03-29 Ke Han , Terry L. Friesz , Tao Yao

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 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

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

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

Departure time management is an efficient way in addressing the peak-hour crowding in public transport by reducing the temporal imbalance between service supply and travel demand. From the demand management perspective, the problem is to…

Optimization and Control · Mathematics 2025-05-27 Xia Zhou , Zhenliang Ma , Mark Wallace , Daniel D. Harabor

In (Jin, 2018), a new day-to-day dynamical system was proposed for drivers' departure time choice at a single bottleneck. Based on three behavioral principles, the nonlocal departure and arrival times choice problems were converted to the…

Optimization and Control · Mathematics 2018-01-31 Wen-Long Jin

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

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

Denied boarding in congested transit systems induces queuing delays and departure-time shifts that can reshape passenger flows. Correctly modeling these responses in transit assignment hinges on the enforcement of two priority rules:…

Computer Science and Game Theory · Computer Science 2026-01-13 Liyang Feng , Hanlin Sun , Yu Marco Nie , Jun Xie , Jiayang Li

Distributed quantum computing (DQC) holds immense promise in harnessing the potential of quantum computing by interconnecting multiple small quantum computers (QCs) through a quantum data network (QDN). Establishing long-distance quantum…

Quantum Physics · Physics 2024-04-16 Lei Wang , Jieming Bian , Jie Xu

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 is concerned with dynamic user equilibrium with elastic travel demand (E-DUE) when the trip demand matrix is determined endogenously. We present an infinite-dimensional variational inequality (VI) formulation that is equivalent…

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

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

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

We introduce a QPLEX Decision Process (QDP) as a model for dynamic control of queueing systems with non-stationary arrivals, general service distributions, and service-level chance constraints. QDPs integrate QPLEX, a computational modeling…

Optimization and Control · Mathematics 2026-05-19 Antonius B. Dieker , Steven T. Hackman , Zitong Wang , Yunhao Yan

In this paper, we are concerned with the automated exchange of orders between logistics companies in a marketplace platform to optimize total revenues. We introduce a novel multi-agent approach to this problem, focusing on the Collaborative…

Multiagent Systems · Computer Science 2023-09-01 Paul Mingzheng Tang , Ba Phong Tran , Hoong Chuin Lau

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

We study the problem of deploying a fleet of mobile robots to service tasks that arrive stochastically over time and at random locations in an environment. This is known as the Dynamic Vehicle Routing Problem (DVRP) and requires robots to…

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