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This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of tasks on a set of machines with directed constraints while…

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…

最优化与控制 · 数学 2024-12-04 Nicholas Gollins , Masafumi Isaji , Koki Ho

The Bus Driver Scheduling Problem (BDSP) is a combinatorial optimization problem with the goal to design shifts to cover prearranged bus tours. The objective takes into account the operational cost as well as the satisfaction of drivers.…

最优化与控制 · 数学 2026-04-23 Lucas Kletzander , Tommaso Mannelli Mazzoli , Nysret Musliu , Pascal Van Hentenryck

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…

机器学习 · 计算机科学 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song

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…

最优化与控制 · 数学 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić

Motivated by widespread electrification targets, this paper studies an Electric Vehicle Routing Problem with Time Windows and Nonlinear Charging (EVRPTWNL) that jointly optimizes routing-scheduling decisions and charging decisions given…

最优化与控制 · 数学 2026-03-18 Alexandre Jacquillat , Sean Lo

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

Decision trees are highly interpretable models for solving classification problems in machine learning (ML). The standard ML algorithms for training decision trees are fast but generate suboptimal trees in terms of accuracy. Other discrete…

机器学习 · 计算机科学 2024-01-24 Krunal Kishor Patel , Guy Desaulniers , Andrea Lodi

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

最优化与控制 · 数学 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

Column Generation (CG) is an iterative algorithm for solving linear programs (LPs) with an extremely large number of variables (columns). CG is the workhorse for tackling large-scale \textit{integer} linear programs, which rely on CG to…

最优化与控制 · 数学 2023-01-16 Cheng Chi , Amine Mohamed Aboussalah , Elias B. Khalil , Juyoung Wang , Zoha Sherkat-Masoumi

In real-life applications, most optimization problems are variants of well-known combinatorial optimization problems, including additional constraints to fit with a particular use case. Usually, efficient algorithms to handle a restricted…

离散数学 · 计算机科学 2025-01-24 Sébastien Martin , Pierre Bauguion , Youcef Magnouche , Jérémie Leguay

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

最优化与控制 · 数学 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

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

In pursuit of higher energy efficiency in computer networks, one subfield of green traffic engineering aims at reducing the size of a network during times of low traffic, while still guaranteeing the ability to route all occurring demands.…

数据结构与算法 · 计算机科学 2026-05-08 Markus Chimani , Max Ilsen

Column Generation (CG) is an effective method for solving large-scale optimization problems. CG starts by solving a sub-problem with a subset of columns (i.e., variables) and gradually includes new columns that can improve the solution of…

最优化与控制 · 数学 2022-03-09 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

最优化与控制 · 数学 2023-05-11 Maryam Daryalal , Hamed Pouya

Problem definition: To mitigate excessive crowding in public transit networks, network expansion is often not feasible due to financial and time constraints. Instead, operators are required to make use of existing infrastructure more…

最优化与控制 · 数学 2025-01-24 Yahan Lu , Rolf N. van Lieshout , Layla Martin , Lixing Yang

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

Multi-band transmission is a promising technical direction for spectrum and capacity expansion of existing optical networks. Due to the increase in the number of usable wavelengths in multi-band optical networks, the complexity of resource…

网络与互联网体系结构 · 计算机科学 2024-03-28 Cao Chen , Shilin Xiao , Fen Zhou , Massimo Tornatore

Integer programs for resource-constrained project scheduling problems are notoriously hard to solve due to their weak linear relaxations. Several papers have proposed reformulating project scheduling problems via Dantzig-Wolfe decomposition…

最优化与控制 · 数学 2025-01-09 Maximilian Kolter , Martin Grunow , Rainer Kolisch