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Using strategic timetables as input for railway network design has become increasingly popular among western European railway infrastructure operators. Although both railway timetabling and railway network design on their own are well…

Optimization and Control · Mathematics 2023-08-02 Tim Sander , Nadine Friesen , Karl Nachtigall , Nils Nießen

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

Because of the long planning periods and their long life cycle, railway infrastructure has to be outlined long ahead. At the present, the infrastructure is designed while only little about the intended operation is known. Hence, the…

Computational Complexity · Computer Science 2023-08-02 Nadine Friesen , Tim Sander , Karl Nachtigall , Nils Nießen

Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different…

Optimization and Control · Mathematics 2025-11-14 Zhiyuan Yao , Anita Schöbel , Lei Nie , Sven Jäger

The intelligent upgrading of metropolitan rail transit systems has made it feasible to implement demand-side management policies that integrate multiple operational strategies in practical operations. However, the tight interdependence…

Optimization and Control · Mathematics 2025-11-10 Lixing Yang , Yahan Lu , Jiateng Yin , Shadi Sharif Azadeh

Metro train operations is becoming more challenging due to overcrowding and unpredictable irregular passenger demand. To avoid passenger dissatisfaction, metro operators employ various operational strategies to increase the number of train…

Optimization and Control · Mathematics 2024-04-08 Chanchal Kumar Salode , Prasanna Ramamoorthy

Timetable construction belongs to the most important optimization problems in public transport. Finding optimal or near-optimal timetables under the subsidiary conditions of minimizing travel times and other criteria is a targeted…

Data Structures and Algorithms · Computer Science 2010-11-03 Christoph Fretter , Lachezar Krumov , Karsten Weihe , Matthias Müller-Hannemann , Marc-Thorsten Hütt

Railway scheduling consists in ensuring that a set of trains evolve in a shared rail network without collisions, while meeting schedule constraints. This problem is notoriously difficult, even more in the case of uncertain or even unknown…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Étienne André

When an unexpected metro disruption occurs, metro managers need to reschedule timetables to avoid trains going into the disruption area, and transport passengers stranded at disruption stations as quickly as possible. This paper proposes a…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Hui Wang , Jialin Liu , Feng Li , Hao Ji , Bin Jia , Ziyou Gao

The railway timetables are designed in an optimal manner to maximize the capacity usage of the infrastructure concerning different objectives besides avoiding conflicts. The real-time railway traffic management problem occurs when the…

Optimization and Control · Mathematics 2024-10-28 László Lindenmaier , István Ferenc Lövétei , Szilárd Aradi

A line plan is an important aspect of the quality of the service provided to railway passengers. Although it is well-known that railway demand is varying throughout the day in volume and structure, the line plan is often still fixed…

Optimization and Control · Mathematics 2025-09-03 Renate J. H. van der Knaap , Niels van Oort , Menno de Bruyn , Rob M. P. Goverde

Line planning in public transport is the strategic problem of selecting lines and their operating frequencies. This problem is important as it defines the passenger service, based on available connections and expected travel times, and…

This study introduces a novel methodology for managing train network disruptions across the entire rail network, leveraging digital tools and methodologies. The approach involves two stages, taking into account possible and practical…

Optimization and Control · Mathematics 2024-12-30 Shayan Bafandkar , Yousef Shafahi , Alireza Eslami , Alireza Yazdiani

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

The possible unavailability of urban rail-based transport services due to planned maintenance activities may have significant consequences on the perceived quality of service, thus affecting railway attractiveness. To cope with the…

Systems and Control · Electrical Eng. & Systems 2021-09-07 A lice Consilvio , Lorenzo Calabrò , Angela Di Febbraro , Nicola Sacco

Advanced integration of logistics systems has been promoted for the sake of competitiveness and sustainability. Such efforts will enable more globally optimal and flexible operations by efficiently utilizing transportation capacity. At the…

Physics and Society · Physics 2022-03-29 Takahiro Ezaki , Naoto Imura , Katsuhiro Nishinari

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

In this paper we present a mathematical model of the train dynamics in a linear metro line system with demand-dependent run and dwell times. On every segment of the line, we consider two main constraints. The first constraint is on the…

Optimization and Control · Mathematics 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

The train timetabling problem in liberalized railway markets represents a challenge to the coordination between infrastructure managers and railway undertakings. Efficient scheduling is critical to maximizing infrastructure capacity and…

Train scheduling is one of the significant issues in the railway industry in recent years since it has an important role in efficacy of railway infrastructure. In this paper, the timetabling problem of a multiple tracked railway network is…

Optimization and Control · Mathematics 2016-12-13 Afshin Oroojlooy Jadid , Kourosh Eshghi
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