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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

Existing deep reinforcement learning (DRL) based methods for solving the capacitated vehicle routing problem (CVRP) intrinsically cope with homogeneous vehicle fleet, in which the fleet is assumed as repetitions of a single vehicle. Hence,…

机器学习 · 计算机科学 2022-03-08 Jingwen Li , Yining Ma , Ruize Gao , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

We present a neural network-enhanced column generation (CG) approach for a parallel machine scheduling problem. The proposed approach utilizes an encoder-decoder attention model, namely the transformer and pointer architectures, to develop…

机器学习 · 计算机科学 2024-10-22 Amira Hijazi , Osman Ozaltin , Reha Uzsoy

Understanding customer movement within retail spaces is essential for optimizing store layouts. Real-world trajectory data can provide highly accurate insights, but collecting it is costly and often infeasible for many retailers. Heuristics…

机器学习 · 计算机科学 2026-05-19 Ken Ming Lee , Paul Barde , Maxime C. Cohen , Derek Nowrouzezahrai

We propose a new pricing strategy for column generation (CG), referred to as Template pricing. This method is motivated by the desire to coordinate solutions of different pricing subproblems in order to accelerate the convergence of the CG…

最优化与控制 · 数学 2026-04-15 Luke Marshall , Prachi Shah , Santanu S. Dey

Column generation (CG) is a well-established method for solving large-scale linear programs. It involves iteratively optimizing a subproblem containing a subset of columns and using its dual solution to generate new columns with negative…

最优化与控制 · 数学 2024-05-21 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Zhiguang Cao , Andrew Eberhard , Guangquan Zhang

Unfair pricing policies have been shown to be one of the most negative perceptions customers can have concerning pricing, and may result in long-term losses for a company. Despite the fact that dynamic pricing models help companies maximize…

机器学习 · 计算机科学 2018-03-28 Roberto Maestre , Juan Duque , Alberto Rubio , Juan Arévalo

Strategic aggregation of electric vehicle batteries as energy reservoirs can optimize power grid demand, benefiting smart and connected communities, especially large office buildings that offer workplace charging. This involves optimizing…

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,…

最优化与控制 · 数学 2023-04-25 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

This study proposes a hybrid quantum-classical approach to solving the Capacitated Vehicle Routing Problem (CVRP) by integrating the Column Generation (CG) method with the Quantum Alternating Operator Ansatz (QAOAnsatz). The CG method…

量子物理 · 物理学 2025-03-24 Wei-hao Huang , Hiromichi Matsuyama , Yu Yamashiro

The use of electric vehicles (EV) in the last mile is appealing from both sustainability and operational cost perspectives. In addition to the inherent cost efficiency of EVs, selling energy back to the grid during peak grid demand, is a…

人工智能 · 计算机科学 2022-04-13 Ajay Narayanan , Prasant Misra , Ankush Ojha , Vivek Bandhu , Supratim Ghosh , Arunchandar Vasan

In this paper, we propose a novel mixed integer programming model to formulate integrated operating room planning and scheduling problems, where several mandatory and elective surgeries are to be assigned and scheduled in operating rooms on…

最优化与控制 · 数学 2026-04-28 Mahdi Dolatkhah , Hossein Hashemi Doulabi , Walter Rei , Michel Gendreau

Many traditional algorithms for solving combinatorial optimization problems involve using hand-crafted heuristics that sequentially construct a solution. Such heuristics are designed by domain experts and may often be suboptimal due to the…

机器学习 · 计算机科学 2020-12-25 Nina Mazyavkina , Sergey Sviridov , Sergei Ivanov , Evgeny Burnaev

Although well-established in general reinforcement learning (RL), value-based methods are rarely explored in constrained RL (CRL) for their incapability of finding policies that can randomize among multiple actions. To apply value-based…

机器学习 · 计算机科学 2022-06-28 Tianchi Cai , Wenpeng Zhang , Lihong Gu , Xiaodong Zeng , Jinjie Gu

Deep reinforcement learning (DRL) has been used to learn effective heuristics for solving complex combinatorial optimisation problem via policy networks and have demonstrated promising performance. Existing works have focused on solving…

机器学习 · 计算机科学 2020-12-25 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

This paper develops a reinforcement learning (RL)approach to solve a cooperative, multi-agent Volt-Var Control (VVC) problem for high solar penetration distribution systems. The ingenuity of our RL method lies in a novel two-stage…

系统与控制 · 电气工程与系统科学 2021-11-24 Si Zhang , Mingzhi Zhang , Rongxing Hu , David Lubkeman , Yunan Liu , Ning Lu

The emergence of price comparison websites (PCWs) has presented insurers with unique challenges in formulating effective pricing strategies. Operating on PCWs requires insurers to strike a delicate balance between competitive premiums and…

Vehicle Routing Problems (VRPs) in real-world applications often come with various constraints, therefore bring additional computational challenges to exact solution methods or heuristic search approaches. The recent idea to learn heuristic…

人工智能 · 计算机科学 2022-08-01 Qiaoyue Tang , Yangzhe Kong , Lemeng Pan , Choonmeng Lee

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…

机器学习 · 计算机科学 2019-07-12 Murat Firat , Guillaume Crognier , Adriana F. Gabor , C. A. J. Hurkens , Yingqian Zhang

Deep reinforcement learning (RL) has been shown to be effective in producing approximate solutions to some vehicle routing problems (VRPs), especially when using policies generated by encoder-decoder attention mechanisms. While these…

机器学习 · 计算机科学 2024-12-31 Joshua Levin , Randall Correll , Takanori Ide , Takafumi Suzuki , Saito Takaho , Alan Arai