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Multi-depot vehicle routing problems (MDVRPs) are prevalent in a variety of practical applications. However, they are computationally challenging to solve due to their inherent complexity. This paper proposes an effective hybrid algorithm…

机器人学 · 计算机科学 2026-05-08 Zhenyu Lei , Jin-Kao Hao

In this paper, we present Approximation Schemes for Capacitated Vehicle Routing Problem (CVRP) on several classes of graphs. In CVRP, introduced by Dantzig and Ramser (1959), we are given a graph $G=(V,E)$ with metric edges costs, a depot…

数据结构与算法 · 计算机科学 2021-06-30 Aditya Jayaprakash , Mohammad R. Salavatipour

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

机器学习 · 计算机科学 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

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

The multi-vehicle covering tour problem with time windows (MCTPTW) aims to construct a set of maximal coverage routes for a fleet of vehicles that serve (observe) a secondary set of sites given a fixed time schedule, coverage requirements,…

最优化与控制 · 数学 2021-05-12 Joshua T. Margolis , Yongjia Song , Scott J. Mason

We propose a joint model that links the strategic level location and capacity decisions with the operational level routing and hub assignment decisions to solve hub network design problem with congestion and heterogeneous economics of…

最优化与控制 · 数学 2024-04-05 Xiaotong Liu

We present a two-level decomposition strategy for solving the Vehicle Routing Problem (VRP) using the Quantum Approximate Optimization Algorithm. A Problem-Level Decomposition partitions a 13-node (156-qubit) VRP into smaller Traveling…

量子物理 · 物理学 2025-07-09 Andrew Maciejunes , John Stenger , Dan Gunlycke , Nikos Chrisochoides

Neural Combinatorial Optimization (NCO) has emerged as a powerful framework for solving combinatorial optimization problems by integrating deep learning-based models. This work focuses on improving existing inference techniques to enhance…

One of the important problems for datacenter resource management is to place virtual machines (VMs) to physical machines (PMs) such that certain cost, profit or performance objective is optimized, subject to various constraints. In this…

分布式、并行与集群计算 · 计算机科学 2019-03-07 Xiaoying Zheng , Ye Xia

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

系统与控制 · 电气工程与系统科学 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

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

This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

最优化与控制 · 数学 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

In this paper, we consider a large-scale instance of the classical Pickup-and-Delivery Vehicle Routing Problem (PDVRP) that must be solved by a network of mobile cooperating robots. Robots must self-coordinate and self-allocate a set of…

机器人学 · 计算机科学 2022-11-22 Andrea Camisa , Andrea Testa , Giuseppe Notarstefano

We study the capacitated vehicle routing problem in graphic metrics (graphic CVRP). Our main contribution is a new lower bound on the cost of an optimal solution. For graphic metrics, this lower bound is tight and significantly stronger…

数据结构与算法 · 计算机科学 2022-10-19 Tobias Mömke , Hang Zhou

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

最优化与控制 · 数学 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

This paper reviews the current progress in applying machine learning (ML) tools to solve NP-hard combinatorial optimization problems, with a focus on routing problems such as the traveling salesman problem (TSP) and the vehicle routing…

We consider the capacitated three-level lot-sizing and replenishment problem with a distribution structure (3LSPD-C), recently proposed in the literature. In 3LSPD-C, a single production plant delivers items to the warehouses from where…

最优化与控制 · 数学 2021-12-24 Jesus O. Cunha , Geraldo R. Mateus , Rafael A. Melo

This paper introduces a novel control strategy to optimize urban network traffic in mixed autonomy settings, featuring Connected and Automated Vehicles (CAVs) alongside Human-Driven Vehicles (HDVs). Unlike previous control strategies, where…

系统与控制 · 电气工程与系统科学 2026-05-11 Muhammad Haris , Claudio Roncoli

Rising labor costs and increasing logistical demands pose significant challenges to modern delivery systems. Automated Electric Vehicles (AEVs) could reduce reliance on delivery personnel and increase route flexibility, but their adoption…

多智能体系统 · 计算机科学 2025-03-11 Jingyi Zhao , Jiayu Yang , Haoxiang Yang

In this paper, we present the Electric Mobility Dial-a-Ride Problem (EM-DARP), which extends the Electric Vehicle Dial-a-Ride Problem (EV-DARP) to better accommodate human-focused mobility services. The problem involves utilizing a fleet of…

系统与控制 · 电气工程与系统科学 2026-04-27 Mostafa Emam , Björn Martens , Thomas Rottmann , Matthias Gerdts