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The rapid growth of pharmaceutical refrigerated logistics poses sustainability challenges, including elevated costs, energy consumption, and resource inefficiency. Collaborating multiple depots can enhance logistics efficiency when…

Applications · Statistics 2023-11-09 Tingting Chen , Feng Chu , Jiantong Zhang , Jiaqing Sun

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…

Artificial Intelligence · Computer Science 2025-10-02 Yoonju Sim , Hyeonah Kim , Changhyun Kwon

Autonomous robots are widely utilized for mapping and exploration tasks due to their cost-effectiveness. Multi-robot systems offer scalability and efficiency, especially in terms of the number of robots deployed in more complex…

Robotics · Computer Science 2025-06-04 Apoorva Vashisth , Manav Kulshrestha , Damon Conover , Aniket Bera

We consider the problem of warehouse multi-robot automation system in discrete-time and discrete-space configuration with focus on the task allocation and conflict-free path planning. We present a system design where a centralized server…

Multiagent Systems · Computer Science 2019-04-10 Kam Fai Elvis Tsang , Yuqing Ni , Cheuk Fung Raphael Wong , Ling Shi

Vehicle Routing Problems (VRPs) can model many real-world scenarios and often involve complex constraints. While recent neural methods excel in constructing solutions based on feasibility masking, they struggle with handling complex…

Artificial Intelligence · Computer Science 2024-10-29 Jieyi Bi , Yining Ma , Jianan Zhou , Wen Song , Zhiguang Cao , Yaoxin Wu , Jie Zhang

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,…

Optimization and Control · Mathematics 2022-08-02 Simone Foa , Corrado Coppola , Giorgio Grani , Laura Palagi

Over the past few years, ride-sharing has emerged as an effective way to relieve traffic congestion. A key problem for these platforms is to come up with a revenue-optimal (or GMV-optimal) pricing scheme and an induced vehicle dispatching…

Systems and Control · Computer Science 2018-03-02 Mengjing Chen , Weiran Shen , Pingzhong Tang , Song Zuo

The Capacitated Vehicle Routing Problem (CVRP) is one of the most extensively studied problems in combinatorial optimization. Based on customer demand, we distinguish three variants of CVRP: unit-demand, splittable, and unsplittable. In…

Data Structures and Algorithms · Computer Science 2025-07-08 Jingyang Zhao , Mingyu Xiao

Unmanned aerial vehicles or drones are becoming increasingly popular due to their low cost and high mobility. In this paper we address the routing and coordination of a drone-truck pairing where the drone travels to multiple locations to…

Discrete Mathematics · Computer Science 2022-03-16 Fanruiqi Zeng , Zaiwei Chen , John-Paul Clarke , David Goldsman

The Capacitated Vehicle Routing Problem (CVRP) is a fundamental NP-hard problem with broad applications in logistics and transportation. Real-world CVRPs often involve diverse objectives and complex constraints, such as time windows or…

Artificial Intelligence · Computer Science 2026-05-15 Wen Wang , Xiangchen Wu , Liang Wang , Hao Hu , Xianping Tao

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

The Vehicle Routing Problem with Drones (VRPD) seeks to optimize the routing paths for both trucks and drones, where the trucks are responsible for delivering parcels to customer locations, and the drones are dispatched from these trucks…

Computers and Society · Computer Science 2024-04-23 Navid Mohammad Imran , Myounggyu Won

Intelligent routing in networks has opened up many challenges in modelling and methods, over the past decade. Many techniques do exist for routing on such an environment where path determination was carried out by advertisement, position…

Networking and Internet Architecture · Computer Science 2014-08-07 T. R. Gopalakrishnan Nair , Kavitha Sooda

We present a framework for learning to guide geometric task and motion planning (GTAMP). GTAMP is a subclass of task and motion planning in which the goal is to move multiple objects to target regions among movable obstacles. A standard…

Robotics · Computer Science 2022-03-10 Beomjoon Kim , Luke Shimanuki , Leslie Pack Kaelbling , Tomás Lozano-Pérez

The growing aging population has significantly increased demand for efficient home health care (HHC) services. This study introduces a Vehicle Routing and Appointment Scheduling Problem (VRASP) to simultaneously optimize caregiver routes…

Optimization and Control · Mathematics 2025-05-28 Yi Zhang , Zhenzhen Zhang

The vehicle routing problem with drones (VRP-D) is to determine the optimal routes of trucks and drones such that the total operational cost is minimized in a scenario where the trucks work in tandem with the drones to deliver parcels to…

Computers and Society · Computer Science 2024-04-16 Navid Imran , Myounggyu Won

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…

Machine Learning · Computer Science 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

The Capacitated Vehicle Routing Problem (CVRP) is an NP-optimization problem (NPO) that has been of great interest for decades for both, science and industry. The CVRP is a variant of the vehicle routing problem characterized by capacity…

We introduce PyVRP, a Python package that implements hybrid genetic search in a state-of-the-art vehicle routing problem (VRP) solver. The package is designed for the VRP with time windows (VRPTW), but can be easily extended to support…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Niels A. Wouda , Leon Lan , Wouter Kool

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…

Data Structures and Algorithms · Computer Science 2021-06-30 Aditya Jayaprakash , Mohammad R. Salavatipour