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In this paper we present a robust mixed integer optimization model to utilize regenerative braking energy produced by trains in a railway network. An electric train produces regenerative energy during braking, which is often lost in present…

Optimization and Control · Mathematics 2015-07-08 Shuvomoy Das Gupta , J. Kevin Tobin , Lacra Pavel

Periodic timetabling for public transportation networks is typically modelled as a Periodic Event Scheduling Problem (PESP). Solving instances of the benchmark library PESPlib to optimality continues to pose a challenge. As a further…

Optimization and Control · Mathematics 2025-10-15 Stephanie Riedmüller , Niels Lindner

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

In this paper we propose a novel two-step linear optimization model to calculate energy-efficient timetables in metro railway networks. The resultant timetable minimizes the total energy consumed by all trains and maximizes the utilization…

Optimization and Control · Mathematics 2018-05-30 Shuvomoy Das Gupta , J. Kevin Tobin , Lacra Pavel

The Periodic Event Scheduling Problem (PESP) is a fundamental model in periodic timetabling for public transport systems, assuming a common period across all events. However, real-world networks often feature heterogeneous service…

Optimization and Control · Mathematics 2025-07-24 Rolf Nelson van Lieshout , Niels Lindner

Electric rail transit systems are large consumers of energy. In trains with regenerative braking capability, a fraction of the energy used to power a train is regenerated during braking. This regenerated energy, if not properly captured, is…

Signal Processing · Electrical Eng. & Systems 2019-01-28 Mahdiyeh Khodaparastan , Ahmed A. Mohamed , Werner Brandauer

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

Railway transportation is one of the most popular options for Urban Massive Transportation Systems (UMTS) because of many attractive features. A robust electric power supply is essential to enable normal operation. However, the power peaks…

Signal Processing · Electrical Eng. & Systems 2019-02-26 Zekun Yang , Yu Chen , Ning Zhou , Shiqiong Tong

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 defines and solves a mathematical model for finding robust periodic timetables by proposing an extension of the Periodic Event Scheduling Problem (PESP). In order to model delayed and not nominal travel times already in the…

Optimization and Control · Mathematics 2019-07-11 Julius Pätzold

The scarcity of non-renewable energy sources, geopolitical problems in its supply, increasing prices, and the impact of climate change, force the global economy to develop more energy-efficient solutions for their operations. The…

Artificial Intelligence · Computer Science 2025-10-07 Ahmed Missaoui , Cemalettin Ozturk , Barry O'Sullivan

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

In the realm of urban transportation, metro systems serve as crucial and sustainable means of public transit. However, their substantial energy consumption poses a challenge to the goal of sustainability. Disturbances such as delays and…

Artificial Intelligence · Computer Science 2023-05-18 Haiqin Xie , Cheng Wang , Shicheng Li , Yue Zhang , Shanshan Wang

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

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

The decarbonisation of heavy-duty railway networks requires maximising the capacity of existing electrical infrastructure. Integrating heavy freight alongside fast passenger services exposes the hard physical limits of conventional…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Marton Laszlo Ambrus , Stuart Hillmansen , Zhongbei Tian

This paper investigates the scheduling problem of a fleet of electric vehicles, providing mobility as a service to a set of time-specified customers, where the operator needs to solve the routing and charging problem jointly for each EV.…

Optimization and Control · Mathematics 2022-05-27 Canqi Yao , Shibo Chen , Mauro Salazar , Zaiyue Yang

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

We study the problem of planning Pareto-optimal journeys in public transit networks. Most existing algorithms and speed-up techniques work by computing subjourneys to intermediary stops until the destination is reached. In contrast, the…

Data Structures and Algorithms · Computer Science 2016-09-16 Sascha Witt

This paper introduces a novel approach for jointly solving the periodic Train Timetabling Problem (TTP), train routing, and Vehicle Circulation Problem (VCP) through a unified optimization model. While these planning stages are…

Optimization and Control · Mathematics 2025-07-16 Florian Fuchs , Bernardo Martin-Iradi , Francesco Corman
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