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Related papers: Stable day-to-day dynamics for departure time choi…

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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

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…

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

Vickrey's classic single-bottleneck departure time choice equilibrium model exhibits instability under many plausible day-to-day learning dynamics. Such instability is not observed in reality -- does this difference stem from the day-to-day…

Computer Science and Game Theory · Computer Science 2026-04-16 Hillel Bar-Gera , Stephen D. Boyles , Liron Ravner

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

A stable dynamic pricing scheme is essential to guarantee the desired performance of high-occupancy-toll (HOT) lanes, where single-occupancy vehicles (SOVs) can pay a price to use the HOT lanes. But existing methods apply to either only one…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Wen-Long Jin , Xuting Wang , Yingyan Lou

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

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

Schedule-based transit assignment describes congestion in public transport services by modeling the interactions of passenger behavior in a time-space network built directly on a transit schedule. This study investigates the theoretical…

Optimization and Control · Mathematics 2023-04-06 Takashi Akamatsu , Koki Satsukawa , Yuki Oyama

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

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 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

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

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

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 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 propose a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. The path actually followed to reach the…

Optimization and Control · Mathematics 2016-06-17 Emiliano Cristiani , Fabio S. Priuli

A major limitation of existing routing algorithms for multi-agent systems is that they are designed without considering the potential presence of adversarial agents in the decision-making loop, which could lead to severe performance…

Multiagent Systems · Computer Science 2025-12-23 Roee M. Francos , Daniel Garces , Orhan Eren Akgün , Stephanie Gil

Day-to-day traffic dynamics are widely used to model flow evolution due to travelers' learning and adjustment behavior, yet empirical analysis of these models often relies on descriptive calibration with limited inferential content. This…

Optimization and Control · Mathematics 2026-05-05 Minghui Wu , Yafeng Yin , Jerome P. Lynch , Zhichen Liu

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq
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