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One of the most well-known problems in transportation and logistics is the Capacitated Vehicle Routing Problem (CVRP). It involves optimizing a set of truck routes to service a set of customers, subject to limits on truck capacity, to…

We propose an efficient algorithm that combines column generation and quantum annealing to solve binary quadratic problems. Binary quadratic problems are difficult to solve because they are NP-hard. An attempt to solve binary quadratic…

Disordered Systems and Neural Networks · Physics 2023-10-24 Sota Hirama , Masayuki Ohzeki

We consider the problem of accelerating column generation (CG) for logistics optimization problems using vehicle routing as an example. Without loss of generality, we focus on the Capacitated Vehicle Routing Problem (CVRP) via the addition…

Optimization and Control · Mathematics 2021-08-23 Julian Yarkony , Naveed Haghani , Amelia Regan

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…

Optimization and Control · Mathematics 2026-04-15 Luke Marshall , Prachi Shah , Santanu S. Dey

Efficiently solving a vehicle routing problem (VRP) in a practical runtime is a critical challenge for delivery management companies. This paper explores both a theoretical and experimental connection between the Capacitated Vehicle Routing…

Optimization and Control · Mathematics 2024-03-22 Abdelhakim Abdellaoui , Loubna Benabbou , Issmail El Hallaoui

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…

Optimization and Control · Mathematics 2024-05-21 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Zhiguang Cao , Andrew Eberhard , Guangquan Zhang

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

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 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…

Machine Learning · Computer Science 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

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…

Optimization and Control · Mathematics 2022-10-18 Benedikt Lienkamp , Maximilian Schiffer

We study a class of nested path problems, in which every path-based variable can be decomposed into a sequence of subpaths. Subpaths must satisfy local resources, while paths must satisfy additional global resources. This paper develops a…

Optimization and Control · Mathematics 2026-05-28 Bart van Rossum , Rolf van Lieshout , Alexandre Jacquillat

Column generation (CG) is one of the most successful approaches for solving large-scale linear programming (LP) problems. Given an LP with a prohibitively large number of variables (i.e., columns), the idea of CG is to explicitly consider…

Optimization and Control · Mathematics 2024-04-09 Haofeng Yuan , Lichang Fang , Shiji Song

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,…

Optimization and Control · Mathematics 2023-04-25 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

Metaheuristics are widely employed to solve hard optimization problems, like vehicle routing problems (VRP), for which exact solution methods are impractical. In particular, local search-based metaheuristics have been successfully applied…

Optimization and Control · Mathematics 2022-04-12 Vinícius R. Máximo , Mariá C. V. Nascimento

Numerous communication networks are emerging to serve the various demands and improve the quality of service. Heterogeneous users have different requirements on quality metrics such as delay and service efficiency. Besides, the networks are…

Data Structures and Algorithms · Computer Science 2022-11-11 Ziye Jia , Qihui Wu , Chao Dong , Chau Yuen , Zhu Han

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

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

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…

Optimization and Control · Mathematics 2026-03-18 Alexandre Jacquillat , Sean Lo

In this paper, we present improved approximation algorithms for the (unsplittable) Capacitated Vehicle Routing Problem (CVRP) in general metrics. In CVRP, introduced by Dantzig and Ramser (1959), we are given a set of points (clients) $V$…

Data Structures and Algorithms · Computer Science 2021-11-17 Zachary Friggstad , Ramin Mousavi , Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Robots performing tasks in warehouses provide the first example of wide-spread adoption of autonomous vehicles in transportation and logistics. The efficiency of these operations, which can vary widely in practice, are a key factor in the…