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The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

Physics and Society · Physics 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

In train networks, carefully-chosen delays may be beneficial for certain passengers, who would otherwise miss some connection. Given a simple (directed or undirected) temporal graph and a set of passengers (each specifying a starting…

Data Structures and Algorithms · Computer Science 2025-04-11 David C. Kutner , Anouk Sommer

We present Arc-Flag TB, a journey planning algorithm for public transit networks which combines Trip-Based Public Transit Routing (TB) with the Arc-Flags speedup technique. Compared to previous attempts to apply Arc-Flags to public transit…

Data Structures and Algorithms · Computer Science 2023-02-15 Ernestine Großmann , Jonas Sauer , Christian Schulz , Patrick Steil

Multimodal transportation systems can be represented as time-resolved multilayer networks where different transportation modes connecting the same set of nodes are associated to distinct network layers. Their quantitative description became…

Physics and Society · Physics 2015-09-29 Laura Alessandretti , Márton Karsai , Laetitia Gauvin

Many public transportation systems are unable to keep up with growing passenger demand as the population grows in urban areas. The slow or lack of improvements for public transportation pushes people to use private transportation modes,…

Data Structures and Algorithms · Computer Science 2021-09-15 Qian-Ping Gu , Jiajian Leo Liang

The increased availability of large-scale trajectory data around the world provides rich information for the study of urban dynamics. For example, New York City Taxi Limousine Commission regularly releases source-destination information…

Machine Learning · Computer Science 2015-12-31 Hongjian Wang , Zhenhui Li , Yu-Hsuan Kuo , Dan Kifer

In this paper we present a Mixed Integer Nonlinear Programming model that we developed as part of a pilot study requested by the R&D company Metrolab in order to design tools for finding solutions for line planning and timetable situations…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Eduardo Conde , Yolanda Hinojosa , Justo Puerto

Travel time in urban centers is a significant contributor to the quality of living of its citizens. Mobility on Demand (MoD) services such as Uber and Lyft have revolutionized the transportation infrastructure, enabling new solutions for…

Optimization and Control · Mathematics 2019-03-27 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

Traditional navigation services find the fastest route for a single driver. Though always using the fastest route seems desirable for every individual, selfish behavior can have undesirable effects such as higher energy consumption and…

The potential of an efficient ride-sharing scheme to significantly reduce traffic congestion, lower emission level, as well as facilitating the introduction of smart cities has been widely demonstrated. This positive thrust however is faced…

Social and Information Networks · Computer Science 2017-06-05 Tal Altshuler , Rachel Katoshevski , Yoram Shiftan

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space…

Data Structures and Algorithms · Computer Science 2018-12-04 Yang Liu , Sebastien Blandin , Samitha Samaranayake

The paper presents a flexibility of management of vehicles in Personal Rapid Transit (PRT) network. The algorithm used for delivering empty vehicles for waiting passengers is based on multiparameter analysis. Due to its distributed…

Systems and Control · Computer Science 2017-05-15 Wiktor B. Daszczuk , Jerzy Mieścicki

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

Despite a tremendous amount of work in the literature and in the commercial sectors, current approaches to multi-modal trip planning still fail to consistently generate plans that users deem optimal in practice. We believe that this is due…

Artificial Intelligence · Computer Science 2019-09-26 Xudong Liu , Christian Fritz , Matthew Klenk

We study journey planning in multimodal networks consisting of public transit plus an unrestricted transfer mode (e.g., walking or cycling). In order to provide good results in practice, algorithms must account for vehicle delays.…

Data Structures and Algorithms · Computer Science 2023-11-07 Dominik Bez , Jonas Sauer

This paper studies the problem of scheduling urban air mobility trips when travel times are uncertain and capacity at destinations is limited. Urban air mobility, in which air transportation is used for relatively short trips within a city…

Optimization and Control · Mathematics 2021-07-08 Qinshuang Wei , Gustav Nilsson , Samuel Coogan

Regenerating braking energy is one major pathway to make rail traffic energy-efficient. It is therefore desirable to design timetables that exploit this feature. However, timetables that allow to regenerate energy are often bad for the…

Optimization and Control · Mathematics 2026-05-05 Sarah Roth , Sven Jäger , Niels Lindner , Anita Schöbel

Public transport routing plays a crucial role in transit network design, ensuring a satisfactory level of service for passengers. However, current routing solutions rely on traditional operational research heuristics, which can be…

Artificial Intelligence · Computer Science 2023-08-25 Nadav Shalit , Michael Fire , Dima Kagan , Eran Ben-Elia

This study addresses the rebalancing of empty modular transit pods between scheduled service trips in fixed-route bus systems. A two-stage hierarchical optimization framework is proposed. The first stage determines the minimum fleet size…

Optimization and Control · Mathematics 2025-08-27 Tina Radvand , Alireza Talebpour , Yanfeng Ouyang

Schematic maps are in daily use to show the connectivity of subway systems and to facilitate travellers to plan their journeys effectively. This study surveys up-to-date algorithmic approaches in order to give an overview of the state of…

Physics and Society · Physics 2022-08-16 Hsiang-Yun Wu , Benjamin Niedermann , Shigeo Takahashi , Martin Nöllenburg