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In many countries, a rail network consists of single lines with sidings where interactions between trains occur (meet, pass). In this paper, we study two issues of these networks: first, the scheduling of freight trains in a single line…

Optimization and Control · Mathematics 2019-12-11 Marie Alaghband , Babak Farhang Moghaddam

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

Bundle methods are often used to solve dual problems that arise from Lagrangian relaxations of large scale optimization problems. An example of such problems is the train timetabling problem. This paper focuses on solving a dual problem…

Optimization and Control · Mathematics 2017-03-01 Abderrahman Ait Ali , Per Olov Lindberg , Jan-Eric Nilsson , Jonas Eliasson , Martin Aronsson

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

We introduce the multimodal car- and ride-sharing problem (MMCRP), in which a pool of cars is used to cover a set of ride requests while uncovered requests are assigned to other modes of transport (MOT). A car's route consists of one or…

Artificial Intelligence · Computer Science 2022-09-29 Miriam Enzi , Sophie N. Parragh , David Pisinger , Matthias Prandtstetter

Train timetable rescheduling (TTR) aims to promptly restore the original operation of trains after unexpected disturbances or disruptions. Currently, this work is still done manually by train dispatchers, which is challenging to maintain…

Machine Learning · Computer Science 2024-01-17 Peng Yue , Yaochu Jin , Xuewu Dai , Zhenhua Feng , Dongliang Cui

We look at the problem of choosing a fleet of vehicles to carry out delivery tasks across a very long time horizon -- up to one year. The delivery quantities may vary markedly day to day and season to season, and the the underlying routing…

Optimization and Control · Mathematics 2017-11-27 Francesco Bertoli , Philip Kilby , Tommaso Urli

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

Discrete Optimal Transport problems give rise to very large linear programs (LP) with a particular structure of the constraint matrix. In this paper we present a hybrid algorithm that mixes an interior point method (IPM) and column…

Optimization and Control · Mathematics 2023-05-15 Filippo Zanetti , Jacek Gondzio

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

Optimization and Control · Mathematics 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

While the increased automation levels of production and operation equipment have led to improved productivity of mining activity in open pit mines, the capacity of mine transport system become a bottleneck. The optimization of mine…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Xiaojiang Ren , Hui Guo , Sheng Kai , Guoqiang Mao

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

In this research we consider the problem of accelerating the convergence of column generation (CG) for the weighted set cover formulation of the capacitated vehicle routing problem with time windows (CVRPTW). We adapt two new techniques,…

Optimization and Control · Mathematics 2023-04-25 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

This paper introduces a combined approach for the recovery of a timetable by rescheduling trips and vehicle circulations for a rail-based transportation system subject to disruptions. We propose a novel event-based integer programming (IP)…

Optimization and Control · Mathematics 2011-01-12 Sandor P. Fekete , Alexander Kroeller , Martin Lorek , Marc Pfetsch

A seemingly simple, yet widely applicable subroutine in automated train scheduling is the insertion of a new train path to a timetable in a railway network. We believe it to be the first step towards a new train-rerouting framework in case…

Data Structures and Algorithms · Computer Science 2024-10-29 David Dekker , Carl Henrik Häll , Anders Peterson , Christiane Schmidt

We tackle the problem of accelerating column generation (CG) approaches to set cover formulations in operations research. At each iteration of CG we generate a dual solution that approximately solves the LP over all columns consisting of a…

Data Structures and Algorithms · Computer Science 2021-03-30 Naveen Haghani , Julian Yarkony , Amelia Regan

During natural or anthropogenic disasters, humanitarian organizations face a series of time-sensitive tasks. One of the tasks involves picking up critical resources (e.g., first aid kits, blankets, water) from warehouses and delivering them…

Optimization and Control · Mathematics 2019-04-08 Tasnim Ibn Faiz , Chrysafis Vogiatzis , Md. Noor-E-Alam

Numerous communication networks are emerging to serve the various demands and improve the quality of service. Heterogeneous users have different requirements on quality metrics such as delay and service efficiency. Besides, the networks are…

Data Structures and Algorithms · Computer Science 2022-11-11 Ziye Jia , Qihui Wu , Chao Dong , Chau Yuen , Zhu Han

Robots performing tasks in warehouses provide the first example of wide-spread adoption of autonomous vehicles in transportation and logistics. The efficiency of these operations, which can vary widely in practice, are a key factor in the…

We propose a randomized method for solving linear programs with a large number of columns but a relatively small number of constraints. Since enumerating all the columns is usually unrealistic, such linear programs are commonly solved by…

Optimization and Control · Mathematics 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić