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We consider emergent situations that require transporting individuals from their locations to a facility using a single capacitated vehicle, where transportation duration has a negative impact on the individuals. A dispatcher determines…

Optimization and Control · Mathematics 2024-07-02 Bahar Cavdar , Joseph Geunes , Xiaofeng Nie , Yue Wang

Recently, quantum computing has gained attention in urban studies as a tool for complex transport planning problems, but its role remains unclear. This paper reviews quantum computing research in urban transport planning and highlights…

Optimization and Control · Mathematics 2026-04-06 Junxiang Xu , Chence Niu , Divya Jayakumar Nair , Vinayak Dixit

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…

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

Transitions between two lanes often have a significant impact on various forms of road traffic. To address this problem, we have developed a two-lane asymmetric simple exclusion process model and two hypothetical traffic control strategies,…

Physics and Society · Physics 2022-12-14 Yuming Dong , Xiaolu Jia , Daichi Yanagisawa , Akihito Nagahama , Katsuhiro Nishinari

In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by this mass. Thus, it does not allow for congestion effects. Using the…

Optimization and Control · Mathematics 2007-05-23 G. Carlier , C. Jimenez , F. Santambrogio

In the era of connected and automated mobility, commuters will possess strong computation power, enabling them to strategically make sequential travel choices over a planning horizon. This paper investigates the multiday traffic patterns…

Optimization and Control · Mathematics 2024-08-15 Minghui Wu , Yafeng Yin , Jerome P. Lynch

Optimal transport has become part of the standard quantitative economics toolbox. It is the framework of choice to describe models of matching with transfers, but beyond that, it allows to: extend quantile regression; identify discrete…

General Economics · Economics 2021-07-13 Alfred Galichon

Capacity expansions as well as its reduction have been widely anticipated as important countermeasures for traffic congestion. Although capacity expansion had been traditionally well noticed as a congestion mitigation measure, but it was…

Systems and Control · Computer Science 2018-02-07 Bahman Moghimi , Navid Kalantari , Camille Kamga , Kyriacos Mouskos

We model parking in urban centers as a set of parallel queues and overlay a game theoretic structure that allows us to compare the user-selected (Nash) equilibrium to the socially optimal equilibrium. We model arriving drivers as utility…

Systems and Control · Computer Science 2016-03-31 Lillian J. Ratliff , Chase Dowling , Eric Mazumdar , Baosen Zhang

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

We study an information design problem in transportation networks, in the presence of a random state that affects the travel times on the links. An omniscient system planner -- aiming at reducing congestion -- observes the network state…

Optimization and Control · Mathematics 2025-09-04 Alexia Ambrogio , Leonardo Cianfanelli , Giacomo Como

How to form groups in a mobility system that offers shared rides, and how to split the costs within the travellers of a group, are non-trivial tasks, as two objectives conflict: 1) minimising the total costs of the system, and 2) making…

Computer Science and Game Theory · Computer Science 2021-05-07 Andres Fielbaum , Rafal Kucharski , Oded Cats , Javier Alonso-Mora

We show how optimization methods from economics known as portfolio strategies can be used for minimizing download times in the Internet and travel times in freeway traffic. While for Internet traffic, there is an optimal restart frequency…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Bernardo A. Huberman , Sebastian M. Maurer

This paper studies the equilibrium behavior of customers in the Geo/Geo/1 queueing system with multiple working vacations. The arriving customers decide whether to join or to balk the queueing systems based on the information of the queue…

Probability · Mathematics 2014-04-29 Yang Bixuan , Hou Zhenting , Wu Jinbiao , Liu Zaiming

Global infrastructure robustness and local transport efficiency are critical requirements for transportation networks. However, since passengers often travel greedily to maximize their own benefit and trigger traffic jams, overall…

Adaptation and Self-Organizing Systems · Physics 2024-01-09 Alessandro Lonardi , Caterina De Bacco

For all line-based transit systems like bus, metro and tram, the routes of the lines and the frequencies at which they are operated are determining for the operational performance of the system. However, as transit line planning happens…

Optimization and Control · Mathematics 2024-05-17 Marie Schmidt , Anita Schöbel

This working paper is divided into two parts. Firstly, we develop a new combined equilibrium model of business land-use, which puts travelers' traffic equilibrium and business companies' competitive location equilibrium into a unified…

Optimization and Control · Mathematics 2015-01-20 Qian Liu , Chongchao Huang

We study optimal information provision in transportation networks when users are strategic and the network state is uncertain. An omniscient planner observes the network state and discloses information to the users with the goal of…

Computer Science and Game Theory · Computer Science 2023-12-01 Leonardo Cianfanelli , Alexia Ambrogio , Giacomo Como

This paper proposes a macroscopic model to describe the equilibrium distribution of passenger arrivals for the morning commute problem in a congested urban rail transit system. We use a macroscopic train operation sub-model developed by Seo…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Jiahua Zhang , Kentaro Wada , Takashi Oguchi