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In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

机器人学 · 计算机科学 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

The Fleet Size and Mix Vehicle Routing Problem (FSMVRP) is a prominent variant of the Vehicle Routing Problem (VRP), extensively studied in operations research and computational science. FSMVRP requires simultaneous decisions on fleet…

人工智能 · 计算机科学 2026-01-01 Pengfu Wan , Jiawei Chen , Gangyan Xu

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…

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) $V$…

数据结构与算法 · 计算机科学 2021-11-17 Zachary Friggstad , Ramin Mousavi , Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Learning to solve vehicle routing problems (VRPs) has garnered much attention. However, most neural solvers are only structured and trained independently on a specific problem, making them less generic and practical. In this paper, we aim…

人工智能 · 计算机科学 2024-05-07 Jianan Zhou , Zhiguang Cao , Yaoxin Wu , Wen Song , Yining Ma , Jie Zhang , Chi Xu

We consider a 2-vehicle routing problem (2VRP) which can be viewed as a building block for the variety of vehicle routing problems (VRP). As a simplified version of the 2VRP, we consider a 2-period balanced travelling salesman problem…

最优化与控制 · 数学 2018-02-23 Vladimir Deineko , Bettina Klinz

In this short paper, we study the capacity-constrained vehicle routing problem (CVRP) and its solution by randomized Monte Carlo methods. For solving CVRP we use some pseudorandom number generators commonly used in practice. We use linear,…

最优化与控制 · 数学 2020-05-13 İbrahim Ethem Demirci , Şaziye Ece Özdemir , Oğuz Yayla

Capacitated vehicle routing problem (CVRP) is being one of the most common optimization problems in our days, considering the wide usage of routing algorithms in multiple fields such as transportation domain, food delivery, network routing,…

人工智能 · 计算机科学 2021-12-28 Hassan Moussa

This paper deals with generating of an optimized route for multiple Vehicle routing Problems (mVRP). We used a methodology of clustering the given cities depending upon the number of vehicles and each cluster is allotted to a vehicle. k-…

分布式、并行与集群计算 · 计算机科学 2010-01-26 R. Nallusamy , K. Duraiswamy , R. Dhanalaksmi , P. Parthiban

Many real-world vehicle routing problems involve rich sets of constraints with respect to the capacities of the vehicles, time windows for customers etc. While in recent years first machine learning models have been developed to solve basic…

机器学习 · 计算机科学 2020-06-17 Jonas K. Falkner , Lars Schmidt-Thieme

This work is motivated by solving a problem faced by big agriculture companies implementing precision agriculture operations for spraying practices using two types of operators, namely a tender tanker and a fleet of sprayers. We model this…

最优化与控制 · 数学 2023-12-18 Faisal Alkaabneh

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

机器人学 · 计算机科学 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

This paper presents a parallel memetic algorithm for solving the vehicle routing problem with time windows (VRPTW). The VRPTW is a well-known NP-hard discrete optimization problem with two objectives. The main objective is to minimize the…

分布式、并行与集群计算 · 计算机科学 2014-02-28 Jakub Nalepa , Zbigniew J. Czech

There has been a paradigm-shift in urban logistic services in the last years; demand for real-time, instant mobility and delivery services grows. This poses new challenges to logistic service providers as the underlying stochastic dynamic…

人工智能 · 计算机科学 2021-03-02 Florentin D Hildebrandt , Barrett Thomas , Marlin W Ulmer

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is…

最优化与控制 · 数学 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

Autonomous mobile robots (AMRs) play a crucial role in transportation and service tasks at hospitals, contributing to enhanced efficiency and meeting medical demands. This paper investigates the optimization problem of scheduling strategies…

机器人学 · 计算机科学 2023-11-27 Lulu Cheng , Ning Zhao , Kan Wu , Zhibin Chen

The identification of valid inequalities, such as the rounded capacity inequalities (RCIs), is a key component of cutting plane methods for the Capacitated Vehicle Routing Problem (CVRP). While a deep learning-based separation method can…

人工智能 · 计算机科学 2025-10-02 Yoonju Sim , Hyeonah Kim , Changhyun Kwon

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

This study presents an in-depth computational analysis of four well-known Capacitated Vehicle Routing Problem (CVRP) formulations with polynomial number of subtour elimination constraints: a node-based formulation and three arc-based…

最优化与控制 · 数学 2018-10-02 Deniz Aksen , Temel Oncan , Mir Ehsan Hesam Sadati

This paper proposes a novel methodology for trajectory planning in autonomous vehicles (AVs), addressing the complex challenge of negotiating speed bumps within a unified Mixed-Integer Quadratic Programming (MIQP) framework. By leveraging…