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Set covering problem is an important class of combinatorial optimization problems, which has been widely applied and studied in many fields. In this paper, we propose an improved column generation algorithm with neural prediction (CG-P) for…

Machine Learning · Computer Science 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song

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…

Artificial Intelligence · Computer Science 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

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…

Optimization and Control · Mathematics 2026-03-10 Hins Hu , Rishav Sen , Jose Paolo Talusan , Abhishek Dubey , Aron Laszka , Samitha Samaranayake

In this article we introduce Graph Generation, an enhanced Column Generation (CG) algorithm for solving expanded linear programming relaxations of mixed integer linear programs. To apply Graph Generation, we must be able to map any given…

Optimization and Control · Mathematics 2021-10-05 Julian Yarkony , Naveed Haghani , Amelia Regan

For clustering of an undirected graph, this paper presents an exact algorithm for the maximization of modularity density, a more complicated criterion to overcome drawbacks of the well-known modularity. The problem can be interpreted as the…

Social and Information Networks · Computer Science 2017-06-28 Keisuke Sato , Yoichi Izunaga

Space missions, particularly complex, large-scale exploration campaigns, can often involve many discrete decisions or events in their concepts of operations. Whilst a variety of methods exist for the optimisation of continuous variables in…

Optimization and Control · Mathematics 2024-12-04 Nicholas Gollins , Masafumi Isaji , Koki Ho

We consider an important problem in the shipping industry known as the liner shipping fleet repositioning problem (LSFRP). We examine a public data set for this problem including many instances which have not previously been solved to…

Optimization and Control · Mathematics 2016-03-09 Robin H. Pearce , Alexis Tyler , Michael Forbes

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

Robotics · Computer Science 2007-05-23 Matthew Earl , Raffaello D'Andrea

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…

Machine Learning · Computer Science 2024-12-30 Yi-Xiang Hu , Feng Wu , Shaoang Li , Yifang Zhao , Xiang-Yang Li

This paper considers real-time dispatching for large-scale ride-sharing services over a rolling horizon. It presents RTDARS which relies on a column-generation algorithm to minimize wait times while guaranteeing short travel times and…

Optimization and Control · Mathematics 2023-03-07 Connor Riley , Antoine Legrain , Pascal Van Hentenryck

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

The INFORMS RAS 2019 Problem Solving Competition is focused on the integrated train blocking and shipment path (TBSP) optimization for tonnage-based operating railways. In nature, the TBSP problem could be viewed as a multi-commodity…

Optimization and Control · Mathematics 2019-10-01 Chongshuang Chen , Jun Zhao

Stochastic programming provides a natural framework for modeling sequential optimization problems under uncertainty; however, the efficient solution of large-scale multistage stochastic programs remains a challenge, especially in the…

Optimization and Control · Mathematics 2025-03-11 Tushar Rathi , Benjamin P. Riley , Angela Flores-Quiroz , Qi Zhang

This paper explores the use of Column Generation (CG) techniques in constructing univariate binary decision trees for classification tasks. We propose a novel Integer Linear Programming (ILP) formulation, based on root-to-leaf paths in…

Machine Learning · Computer Science 2019-07-12 Murat Firat , Guillaume Crognier , Adriana F. Gabor , C. A. J. Hurkens , Yingqian Zhang

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

The real-time Railway Traffic Management Problem (rtRTMP) is a challenging optimisation problem in railway transportation. It involves the efficient management of train movements while minimising delay propagation caused by unforeseen…

Multiagent Systems · Computer Science 2025-02-13 Leo D'Amato , Paola Pellegrini , Vito Trianni

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

Efficient resource allocation and optical switching promise high key rates, network adaptability, and cost reduction in repeaterless quantum communication networks. However, identifying optimal switching configurations remains a significant…

We study the problem of multi-target tracking and data association in video. We formulate this in terms of selecting a subset of high-quality tracks subject to the constraint that no pair of selected tracks is associated with a common…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Shaofei Wang , Steffen Wolf , Charless Fowlkes , Julian Yarkony

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

Robotics · Computer Science 2025-11-11 Haotian Tan , Yuan-Hua Ni