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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

Lagrangian decomposition (LD) is a relaxation method that provides a dual bound for constrained optimization problems by decomposing them into more manageable sub-problems. This bound can be used in branch-and-bound algorithms to prune the…

Artificial Intelligence · Computer Science 2024-08-26 Swann Bessa , Darius Dabert , Max Bourgeat , Louis-Martin Rousseau , Quentin Cappart

This work considers a short-term, continuous time setting characterized by a coupled power supply system controlled exclusively by a single provider and comprising a cascade of hydropower systems (dams), fossil fuel power stations, and a…

Optimization and Control · Mathematics 2024-04-12 Chiheb Ben Hammouda , Eliza Rezvanova , Erik von Schwerin , Raúl Tempone

There is a rise in the need for efficient battery charging methods due to the high penetration of electromobility solutions. Battery swapping, a technique in which fully or partially depleted batteries are exchanged and then transported to…

Optimization and Control · Mathematics 2025-05-13 Sunney Fotedar , Jiaming Wu , Balazs Kulcsar , Rebecka Jornsten

Rail is a cost-effective and relatively low-emission mode for transporting intermodal containers over long distances. This paper addresses tactical planning of intermodal railroad operations by introducing a new problem that simultaneously…

Optimization and Control · Mathematics 2025-11-11 Julie Kienzle , Serge Bisaillon , Teodor Gabriel Crainic , Emma Frejinger

The growing share of intermittent renewable energy sources, storage technologies, and the increasing degree of so-called sector coupling necessitates optimization-based energy system models with high temporal and spatial resolutions, which…

Optimization and Control · Mathematics 2021-11-24 Maximilian Hoffmann , Leander Kotzur , Detlef Stolten

The unit commitment problem (UC) is crucial for the operation and market mechanism of power systems. With the development of modern electricity, the scale of power systems is expanding, and solving the UC problem is also becoming more and…

Optimization and Control · Mathematics 2022-11-04 Jiangwei Hou , Qiaozhu Zhai , Yuzhou Zhou , Xiaohong Guan

We present an approach for solving to optimality the budget-constrained Dynamic Uncapacitated Facility Location and Network Design problem (DUFLNDP). This is a problem where a network must be constructed or expanded and facilities placed in…

Optimization and Control · Mathematics 2017-03-21 Robin H Pearce , Michael Forbes

Improving traffic management in case of perturbation is one of the main challenges in today's railway research. The great majority of the existing literature proposes approaches to make centralized decisions to minimize delay propagation.…

Computers and Society · Computer Science 2026-04-21 Federico Naldini , Fabio Oddi , Leo D'Amato , Grégory Marlière , Vito Trianni , Paola Pellegrini

The primal-dual distributed optimization methods have broad large-scale machine learning applications. Previous primal-dual distributed methods are not applicable when the dual formulation is not available, e.g. the sum-of-non-convex…

Machine Learning · Computer Science 2017-10-30 Zhouyuan Huo , Heng Huang

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

Hyperparameter tuning is an active area of research in machine learning, where the aim is to identify the optimal hyperparameters that provide the best performance on the validation set. Hyperparameter tuning is often achieved using naive…

Machine Learning · Computer Science 2020-07-23 Ankur Sinha , Tanmay Khandait , Raja Mohanty

We propose an analytic solution to the problem of finding optimal driving strategies that minimize total tractive energy consumption for a fleet of trains travelling on the same track in the same direction subject to clearance-time equality…

Optimization and Control · Mathematics 2022-06-17 Amie Albrecht , Phil Howlett , Peter Pudney

The growth in online shopping and third party logistics has caused a revival of interest in finding optimal solutions to the large scale in-transit freight consolidation problem. Given the shipment date, size, origin, destination, and due…

Optimization and Control · Mathematics 2018-01-29 Abdulkader S Hanbazazah , Luis E. Abril , Nazrul I Shaikh , Murat Erkoc

An essential issue that a freight transportation system faced is how to deliver shipments (OD pairs) on a capacitated physical network optimally; that is, to determine the best physical path for each OD pair and assign each OD pair into the…

Optimization and Control · Mathematics 2017-07-27 Boliang Lin

The timely transportation of goods to customers is an essential component of economic activities. However, heavy-duty diesel trucks used for goods delivery significantly contribute to greenhouse gas emissions within many large metropolitan…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Mikhail A. Bragin , Zuzhao Ye , Nanpeng Yu

In this paper, we propose a penalty dual-primal augmented lagrangian method for solving convex minimization problems under linear equality or inequality constraints. The proposed method combines a novel penalty technique with updates the…

Optimization and Control · Mathematics 2023-05-09 Jie Liu , Xiaoqing Ou , Jiawei Chen

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

An earlier work [18] proposes a method for solving the Lagrangian dual of a constrained binary quadratic programming problem via quantum adiabatic evolution using an outer approximation method. This should be an efficient prescription for…

Optimization and Control · Mathematics 2019-01-07 Sahar Karimi , Pooya Ronagh

In this work, we consider a practical railway dispatching problem: delay and conflict management on a single-track railway line. We examine the issue of train dispatching consequences caused by the arrival of an already delayed train to the…

Emerging Technologies · Computer Science 2021-03-31 Krzysztof Domino , Mátyás Koniorczyk , Krzysztof Krawiec , Konrad Jałowiecki , Bartłomiej Gardas