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Efficient resource (re-)allocation is a critical challenge in optimizing productivity and sustainability within multi-party supply networks. In this work, we introduce the \textsc{Red-Blue Reinforcement} (R-BR) problem, where a service…

数据结构与算法 · 计算机科学 2026-02-24 Arun Kumar Das , Sandip Das , Sweta Das , Foivos Fioravantes , Nikolaos Melissinos

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

最优化与控制 · 数学 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

Branch-price-and-cut is the state-of-the-art exact method for solving many types of vehicle routing problems, and is particularly effective for vehicle routing problems with time windows. A well-known challenge in branch-price-and-cut is…

最优化与控制 · 数学 2026-02-11 Lukas Eveborn , Elina Rönnberg

The cutting plane method is a key technique for successful branch-and-cut and branch-price-and-cut algorithms that find the exact optimal solutions for various vehicle routing problems (VRPs). Among various cuts, the rounded capacity…

人工智能 · 计算机科学 2023-10-31 Hyeonah Kim , Jinkyoo Park , Changhyun Kwon

The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-integer non-linear…

最优化与控制 · 数学 2025-03-31 Pascal Börner , Max Klimm , Annette Lutz , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

The paper investigates a dial-a-ride problem focusing on the residents of large cities. These individuals have the opportunity to use a wide variety of transportation modes. Because of this, ridepooling providers have to solve the tradeoff…

最优化与控制 · 数学 2022-08-02 Arne Schulz , Christian Pfeiffer

In this paper, we study the nurse rostering problem that considers multiple units and many soft time-related constraints. An efficient branch and price solution approach that relies on a fast algorithm to solve the pricing subproblem of the…

最优化与控制 · 数学 2023-11-10 Wanzhe Hu , Xiaozhou He , Li Luo , Panos M. Pardalos

Despite the extensive research efforts and the remarkable results obtained on Vehicle Routing Problems (VRP) by using algorithms proposed by the Machine Learning community that are partially or entirely based on data-driven analysis, most…

机器学习 · 计算机科学 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

Vehicle routing problem (VRP) is a typical discrete combinatorial optimization problem, and many models and algorithms have been proposed to solve the VRP and its variants. Although existing approaches have contributed a lot to the…

机器学习 · 计算机科学 2022-02-22 Bingjie Li , Guohua Wu , Yongming He , Mingfeng Fan , Witold Pedrycz

In this paper, we study a facility location problem within a competitive market context, where customer demand is predicted by a random utility choice model. Unlike prior research, which primarily focuses on simple constraints such as a…

人工智能 · 计算机科学 2024-03-12 Hoang Giang Pham , Tien Thanh Dam , Ngan Ha Duong , Tien Mai , Minh Hoang Ha

The Vehicle Routing Problem (VRP) has been widely studied throughout its history as a way of optimizing routes by minimizing distances, and the issue of risk in VRP has been received less attention, which is essential to increase transport…

最优化与控制 · 数学 2022-08-23 Gabriel Adam Bilato , Cleber Damião Rocco , Anibal Tavares de Azevedo

Conflict-Free Vehicle Routing Problems (CF-VRPs) arise in manufacturing, transportation and logistics facilities where Automated Guided Vehicles (AGVs) are utilized to move loads. Unlike \textit{Vehicle Routing Problems} arising in…

最优化与控制 · 数学 2024-06-28 Tommaso Adamo , Gianpaolo Ghiani , Emanuela Guerriero

The Capacitated Vehicle Routing Problem (CVRP) is a core NP-hard problem in the field of combinatorial optimization. It aims to plan optimal routes for a fleet of vehicles with uniform capacity, serving a set of customers with specific…

数据结构与算法 · 计算机科学 2026-04-07 Yongyu Chen

The Vehicle Routing Problem (VRP) is an example of a combinatorial optimization problem that has attracted academic attention due to its potential use in various contexts. VRP aims to arrange vehicle deliveries to several sites in the most…

量子物理 · 物理学 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

Recently, the applications of the methodologies of Reinforcement Learning (RL) to NP-Hard Combinatorial optimization problems have become a popular topic. This is essentially due to the nature of the traditional combinatorial algorithms,…

最优化与控制 · 数学 2022-08-02 Simone Foa , Corrado Coppola , Giorgio Grani , Laura Palagi

Vehicle routing problems (VRPs), which can be found in numerous real-world applications, have been an important research topic for several decades. Recently, the neural combinatorial optimization (NCO) approach that leverages a…

机器学习 · 计算机科学 2024-04-15 Fei Liu , Xi Lin , Zhenkun Wang , Qingfu Zhang , Xialiang Tong , Mingxuan Yuan

Complex real-life routing challenges can be modeled as variations of well-known combinatorial optimization problems. These routing problems have long been studied and are difficult to solve at scale. The particular setting may also make…

神经与进化计算 · 计算机科学 2020-09-23 Marijn van Knippenberg , Mike Holenderski , Vlado Menkovski

We develop a spatial branch-and-cut approach for nonconvex Quadratically Constrained Quadratic Programs with bounded complex variables (CQCQP). Linear valid inequalities are added at each node of the search tree to strengthen semidefinite…

最优化与控制 · 数学 2017-05-26 Chen Chen , Alper Atamturk , Shmuel S. Oren

We study the fair capacitated vehicle routing problem, in which a fleet of vehicles must serve a set of customers such that the difference between the longest and shortest route, the range, is minimized. A key challenge is that the range…

最优化与控制 · 数学 2026-04-28 Bart van Rossum , Rui Chen , Andrea Lodi

We consider range minimization problems featuring exponentially many variables, as frequently arising in fairness-oriented or bi-objective optimization. While branch and price is successful at solving cost-oriented problems with many…

最优化与控制 · 数学 2025-05-08 Bart van Rossum , Rui Chen , Andrea Lodi