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In railway operations, a timetable is established to determine the departure and arrival times for the trains or other rolling stock at the different stations or relevant points inside the rail network or a subset of this network. The…

Artificial Intelligence · Computer Science 2014-11-26 Diego Arenas , Remy Chevirer , Said Hanafi , Joaquin Rodriguez

We study a spatiotemporal service matching problem in which demand, heterogeneous in location and time sensitivity/preference, is to be assigned to service stations. The planner seeks to maximize social welfare, defined as total service…

Theoretical Economics · Economics 2026-03-17 Mingyang Fu , Ming Hu

Planning in public transportation is traditionally done in a sequential process: After the network design process, the lines and their frequencies are planned. When these are fixed, a timetable is determined and based on the timetable, the…

Optimization and Control · Mathematics 2021-12-07 Philine Schiewe , Anita Schöbel

This report presents a novel approach to calculate volumes of trains from a set of requirements describing the transportation demands. The model presented is based on a multi commodity network flow model. The model comprises three different…

Optimization and Control · Mathematics 2021-12-20 Martin Aronsson , Tomas Lidén

We present our collaboration with Thales Canada Inc, the largest provider of communication-based train control (CBTC) systems worldwide. We study the problem of designing energy-optimal timetables in metro railway networks to minimize the…

Optimization and Control · Mathematics 2024-01-04 Shuvomoy Das Gupta , Bart P. G. Van Parys , J. Kevin Tobin

This paper focuses on passenger-oriented real-time train rescheduling, considering flexible train composition and rolling stock circulation, by integrating learning-based and optimization-based approaches. A learning-based model predictive…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Xiaoyu Liu , Caio Fabio Oliveira da Silva , Azita Dabiri , Yihui Wang , Bart De Schutter

A massive use of electric vehicles is nowadays considered to be a key element of a sustainable transportation policy and the availability of charging stations is a crucial issue for their extensive use. Charging stations in an urban area…

Optimization and Control · Mathematics 2023-01-13 Carlo Filippi , Gianfranco Guastaroba , Lorenzo Peirano , M. Grazia Speranza

This document is the third sub-report from the research project SATT (Samplanering av trafikp{\aa}verkande {\aa}tg\"arder och trafikfl\"oden, modellstudie / Coordinated planning of temporary capacity restrictions and traffic flows, model…

Optimization and Control · Mathematics 2021-11-29 Tomas Lidén , Martin Aronsson

The problem of optimization of the rolling dynamics model is considered. That providing safe movement at high frequency when interacting with the railway. Moreover, allowing to evaluate the dynamic parameters when designing new and…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Anas M. Al-Oraiqat , Alexander Y. Ivanov , Yuriy A. Ivanov

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. In recent years, great advances have been made in making public transit…

Data Structures and Algorithms · Computer Science 2021-09-30 Sascha Witt

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Several authors have noted that in a non-regulated environment the development of public transport service is self-adjusting: Faced with a decreasing demand, operators will tend to reduce service to cut costs, resulting in a decrease in the…

Physics and Society · Physics 2012-11-27 Asaf Bar-Yosef , Karel Martens , Itzhak Benenson

Railway scheduling is a problem that exhibits both non-trivial discrete and continuous behavior. In this paper, we simulate train networks at a low level, where a number of timing and ordering constraints can appear. We model this problem…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Tomáš Kolárik , Stefan Ratschan

We present here a real-time control model for the train dynamics in a linear metro line system. The model describes the train dynamics taking into account average passenger arrival rates on platforms, including control laws for train dwell…

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

Both evaluating the service quality of a public transport system and understanding how passengers choose between modes or routes is imperative for public transport operators, providers of competing mobility services and policy makers.…

Optimization and Control · Mathematics 2025-08-27 Rolf Nelson van Lieshout , Kevin Dalmeijer

In this study, the periodic train timetabling problem is formulated using a time-space graph formulation. Three solution methods are proposed and compared where solutions are built by what we define as a dive-and-cut-and-price procedure. An…

Data Structures and Algorithms · Computer Science 2021-03-02 Bernardo Martin-Iradi , Stefan Ropke

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

This paper addresses a multi-period line planning problem in an integrated passenger-freight railway system, aiming to maximize profit while serving passengers and freight using a combination of dedicated passenger trains, dedicated freight…

Optimization and Control · Mathematics 2024-09-13 Wanru Chen , Rolf N. van Lieshout , Dezhi Zhang , Tom Van Woensel

When there are significant service disruptions in public transit systems, passengers usually need guidance to find alternative paths. This paper proposes a path recommendation model to mitigate congestion during public transit disruptions.…

Optimization and Control · Mathematics 2025-05-20 Baichuan Mo , Haris N. Koutsopoulos , Max Zuo-Jun Shen , Jinhua Zhao

Industrial timetabling is a critical task for decision-makers across various sectors to ensure efficient system operation. In real-world settings, it remains challenging because unexpected events often disrupt execution. When such events…

Human-Computer Interaction · Computer Science 2026-01-13 Kévin Ducharlet , Liwen Zhang , Sara Maqrot , Houssem Saidi