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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

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

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

Accurate and reliable bus travel time prediction in real-time is essential for improving the operational efficiency of public transportation systems. However, this remains a challenging task due to the limitations of existing models and…

Applications · Statistics 2025-03-11 Yuran Sun , James Spall , Wai Wong , Xilei Zhao

The planning of attractive and cost efficient public transport systems is a highly complex optimization process involving many steps. Integrating robustness from a passenger's point of view makes the task even more challenging. With…

Machine Learning · Computer Science 2021-06-17 Matthias Müller-Hannemann , Ralf Rückert , Alexander Schiewe , Anita Schöbel

While multimodal mobility systems have the potential to bring many benefits to travelers, drivers, the environment, and traffic congestion, such systems typically involve multiple non-cooperative decision-makers who may selfishly optimize…

Methodology · Statistics 2026-01-08 Md Nafees Fuad Rafi , Zhaomiao Guo

The potential of integrating public transit with ridesharing includes shorter travel time for commuters and higher occupancy rate of personal vehicles and public transit ridership. In this paper, we describe a centralized transit system…

Data Structures and Algorithms · Computer Science 2023-08-21 Qian-Ping Gu , Jiajian Leo Liang

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

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

Traffic assignment is a core component of many urban transport planning tools. It is used to determine how traffic is distributed over a transportation network. We study the task of computing traffic assignments for public transport: Given…

Data Structures and Algorithms · Computer Science 2024-08-13 Julian Patzner , Matthias Müller-Hannemann

We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

Computer Science and Game Theory · Computer Science 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

Accurately forecasting bus travel time and passenger occupancy with uncertainty is essential for both travelers and transit agencies/operators. However, existing approaches to forecasting bus travel time and passenger occupancy mainly rely…

Applications · Statistics 2024-12-12 Xiaoxu Chen , Zhanhong Cheng , Alexandra M. Schmidt , Lijun Sun

We consider the model of a transportation problem with the objective of finding a minimum-cost transportation plan for shipping a given commodity from a set of supply centers to the customers. Since the exact values of supply and demand and…

Optimization and Control · Mathematics 2023-01-31 Elif Garajová , Miroslav Rada

Public transit systems are the backbone of urban mobility systems in the era of urbanization. The design of transit schedules is important for the efficient and sustainable operation of public transit. However, previous studies usually…

Optimization and Control · Mathematics 2022-11-15 Xiaotong Guo , Baichuan Mo , Haris N. Koutsopoulos , Shenhao Wang , Jinhua Zhao

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

Given a network with a continuum of users at some origins, suppose that the users wish to reach specific destinations, but that they are not indifferent to the time needed to reach their destination. They may have several possibilities (of…

Computer Science and Game Theory · Computer Science 2008-10-15 Frédéric Meunier , Nicolas Wagner

Non-recurrent congestion is a major problem in traffic networks that causes unexpected delays during travels. In such a scenario, it is preferable to use adaptive paths or policies where next link decisions on reaching junctions are…

Systems and Control · Computer Science 2018-11-07 Hemant Gehlot , Satish V. Ukkusuri

This paper studies line planning for urban bus networks that face multiple resource limits such as budget, labor, and emission caps while using heterogeneous fleets. The objective is to maximize total reward from serving passengers by…

Optimization and Control · Mathematics 2026-04-07 Hongyi Jiang , Igor Averbakh , Samitha Samaranayake

In recent years, we have witnessed a remarkable surge of usage in shared vehicles in our cities. Shared mobility offers a future of no congestion in busy city roads with increasing populations of travelers, passengers, and drivers. Given…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Ioannis Vasileios Chremos , Andreas Malikopoulos

When network users are satisficing decision-makers, the resulting traffic pattern attains a satisficing user equilibrium, which may deviate from the (perfectly rational) user equilibrium. In a satisficing user equilibrium traffic pattern,…

Computer Science and Game Theory · Computer Science 2019-11-20 Mahdi Takalloo , Changhyun Kwon