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This paper presents a new branch-and-cut algorithm based on infeasible path elimination for the three-dimensional loading capacitated vehicle routing problem (3L-CVRP) with different loading problem variants. We show that a previously…

Optimization and Control · Mathematics 2024-02-26 Felix Tamke , Florian Linß , Leopold Kuttner , Udo Buscher

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

The number of optimization techniques in the combinatorial domain is large and diversified. Nevertheless, real-world based benchmarks for testing algorithms are few. This work creates an extensible real-world mail delivery benchmark to the…

Artificial Intelligence · Computer Science 2018-01-03 Luis A. A. Meira , Paulo S. Martins , Mauro Menzori , Guilherme A. Zeni

The profiled vehicle routing problem (PVRP) is a generalization of the heterogeneous capacitated vehicle routing problem (HCVRP) in which the objective is to optimize the routes of vehicles to serve client demands subject to different…

Multiagent Systems · Computer Science 2025-02-05 Chuanbo Hua , Federico Berto , Jiwoo Son , Seunghyun Kang , Changhyun Kwon , Jinkyoo Park

The vehicle routing problem (VRP) is an NP-hard optimization problem that has been an interest of research for decades in science and industry. The objective is to plan routes of vehicles to deliver goods to a fixed number of customers with…

Quantum Physics · Physics 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

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

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

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

Data Structures and Algorithms · Computer Science 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

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…

Multiagent Systems · Computer Science 2025-03-11 Jingyi Zhao , Jiayu Yang , Haoxiang Yang

In this work we solve the Dynamic Vehicle Routing Problem (DVRP). DVRP is a modification of the Vehicle Routing Problem, in which the clients' requests (cities) number and location might not be known at the beginning of the working day…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Michał Okulewicz , Jacek Mańdziuk

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,…

Artificial Intelligence · Computer Science 2021-12-28 Hassan Moussa

Vehicle Routing Problems (VRP) are an extension of the Traveling Salesperson Problem and are a fundamental NP-hard challenge in combinatorial optimization. Solving VRP in real-time at large scale has become critical in numerous…

Machine Learning · Computer Science 2025-09-23 Ido Greenberg , Piotr Sielski , Hugo Linsenmaier , Rajesh Gandham , Shie Mannor , Alex Fender , Gal Chechik , Eli Meirom

This article considers a cooperative vehicle routing problem for an intelligence, surveillance, and reconnaissance mission in the presence of communication constraints between the vehicles. The proposed framework uses a ground vehicle and…

Optimization and Control · Mathematics 2021-04-30 Satyanarayana G. Manyam , Kaarthik Sundar , David W. Casbeer

Automated guided vehicles (AGVs) are widely used in various industries, and scheduling and routing them in a conflict-free manner is crucial to their efficient operation. We propose a loop-based algorithm that solves the online,…

Computational Engineering, Finance, and Science · Computer Science 2026-03-10 Louis Stubbe , Jens Goemaere , Jan Goedgebeur

The Multiple-Depot Split Delivery Vehicle Routing Problem (MD-SDVRP) is a challenging problem with broad applications in logistics. The goal is to serve customers' demand using a fleet of capacitated vehicles located in multiple depots,…

Data Structures and Algorithms · Computer Science 2026-01-06 Jingyang Zhao , Yonghang Su , Mingyu Xiao

Many transit agencies operating paratransit and microtransit services have to respond to trip requests that arrive in real-time, which entails solving hard combinatorial and sequential decision-making problems under uncertainty. To avoid…

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

Artificial Intelligence · Computer Science 2020-12-01 André Hottung , Kevin Tierney

In this paper we tackle the problem of routing multiple agents in a coordinated manner. This is a complex problem that has a wide range of applications in fleet management to achieve a common goal, such as mapping from a swarm of robots and…

Artificial Intelligence · Computer Science 2020-08-18 Quinlan Sykora , Mengye Ren , Raquel Urtasun

With an increasing demand from emerging logistics businesses, Vehicle Routing Problem with Private fleet and common Carrier (VRPPC) has been introduced to manage package delivery services from a supplier to customers. However, almost all of…

Artificial Intelligence · Computer Science 2018-02-26 Suttinee Sawadsitang , Rakpong Kaewpuang , Siwei Jiang , Dusit Niyato , Ping Wang

In this paper we consider a 2-vehicle routing problem which can be viewed as a building block for the varieties of the vehicle routing problems (VRPs). To approach this problem, we suggest a framework based on the Held and Karp dynamic…

Data Structures and Algorithms · Computer Science 2016-10-07 Vladimir Deineko