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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…

数据结构与算法 · 计算机科学 2021-03-30 Naveen Haghani , Julian Yarkony , Amelia Regan

Along with the rapid development of new urban mobility options like ride-sharing over the past decade, on-demand micro-transit services stand out as a middle ground, bridging the gap between fixed-line mass transit and single-request…

最优化与控制 · 数学 2026-03-10 Hins Hu , Rishav Sen , Jose Paolo Talusan , Abhishek Dubey , Aron Laszka , Samitha Samaranayake

Column generation is often used to solve multi-commodity flow problems. A program for column generation always includes a module that solves a linear equation. In this paper, we address three major issues in solving linear problem during…

最优化与控制 · 数学 2019-03-19 Liyun Dai , Hengjun Zhao , Zhiming Liu

The team formation and routing problem is a challenging optimization problem with several real-world applications in fields such as airport, healthcare, and maintenance operations. To solve this problem, exact solution methods based on…

机器学习 · 计算机科学 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

The vehicle routing problem with two-dimensional loading constraints (2L-CVRP) and the last-in-first-out (LIFO) rule presents significant practical and algorithmic challenges. While numerous heuristic approaches have been proposed to…

人工智能 · 计算机科学 2024-06-19 Yifan Xia , Xiangyi Zhang

The discrete Wasserstein barycenter problem is a minimum-cost mass transport problem for a set of discrete probability measures. Although an exact barycenter is computable through linear programming, the underlying linear program can be…

最优化与控制 · 数学 2022-02-09 Steffen Borgwardt , Stephan Patterson

The rise of battery-powered vehicles has led to many new technical and methodological hurdles. Among these, the efficient planning of an electric fleet to fulfill passenger transportation requests still represents a major challenge. This is…

最优化与控制 · 数学 2023-02-07 Axel Parmentier , Rafael Martinelli , Thibaut Vidal

Freighter airlines need to recover both aircraft and cargo schedules when disruptions happen. This process is usually divided into three sequential decisions to recovery flights, aircraft, and cargoes. This study focuses on the integrated…

最优化与控制 · 数学 2022-09-29 Lei Huang , Fan Xiao , Zhe Liang

Capacity sharing networks are typical heterogeneous communication networks widely applied in information and communications technology (ICT) field. In such networks, resources like bandwidth, spectrum, computation and storage are shared…

最优化与控制 · 数学 2024-12-03 Kaixiang Hu , Feilong Huang , Caixia Kou

This paper investigates the column generation (CG) for solving cutting stock problems (CSP). Traditional CG method, which repeatedly solves a restricted master problem (RMP), often suffers from two critical issues in practice -- the loss of…

最优化与控制 · 数学 2023-05-24 Mingjie Hu , Jie Yan , Liting Chen , Qingwei Lin

This paper proposes a novel reinforcement learning framework to address the Liner Shipping Network Design Problem (LSNDP), a challenging combinatorial optimization problem focused on designing cost-efficient maritime shipping routes.…

人工智能 · 计算机科学 2024-11-15 Utsav Dutta , Yifan Lin , Zhaoyang Larry Jin

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…

最优化与控制 · 数学 2025-10-15 Stephanie Riedmüller , Niels Lindner

Column Generation (CG) is an effective and iterative algorithm to solve large-scale linear programs (LP). During each CG iteration, new columns are added to improve the solution of the LP. Typically, CG greedily selects one column with the…

机器学习 · 计算机科学 2024-12-30 Yi-Xiang Hu , Feng Wu , Shaoang Li , Yifang Zhao , Xiang-Yang Li

In this paper, we address the problem of Column Generation (CG) using Reinforcement Learning (RL). Specifically, we use a RL model based on the attention-mechanism architecture to find the columns with most negative reduced cost in the…

机器学习 · 计算机科学 2025-08-20 Abdo Abouelrous , Laurens Bliek , Adriana F. Gabor , Yaoxin Wu , Yingqian Zhang

We propose exact solution approaches for a lateral transhipment problem which, given a pre-specified sequence of customers, seeks an optimal inventory redistribution plan considering travel costs and profits dependent on inventory levels.…

数据结构与算法 · 计算机科学 2015-12-24 Martin Romauch , Thibaut Vidal , Richard F. Hartl

Disruptions in the operational flow of rail traffic can lead to conflicts between train movements, such that a scheduled timetable can no longer be realised. This is where dispatching is applied, existing conflicts are resolved and a…

最优化与控制 · 数学 2025-02-26 Maik Schälicke , Karl Nachtigall

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…

最优化与控制 · 数学 2017-11-27 Francesco Bertoli , Philip Kilby , Tommaso Urli

The technical report presents a generic exact solution approach for minimizing the project duration of the resource-constrained project scheduling problem with generalized precedences (Rcpsp/max). The approach uses lazy clause generation,…

人工智能 · 计算机科学 2010-09-03 Andreas Schutt , Thibaut Feydy , Peter J. Stuckey , Mark G. Wallace

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

人工智能 · 计算机科学 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

In light of the need for design and analysis of intermodal transportation systems, we propose an algorithmic framework to determine the system optimum of an intermodal transportation system. To this end, we model an intermodal…

最优化与控制 · 数学 2022-10-18 Benedikt Lienkamp , Maximilian Schiffer
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