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We study last-mile delivery problems where trucks and drones collaborate to deliver goods to final customers. In particular, we focus on problem settings where either a single truck or a fleet with several homogeneous trucks work in…

Optimization and Control · Mathematics 2023-07-10 Roberto Montemanni , Mauro Dell'Amico , Andrea Corsini

In a near future drones are likely to become a viable way of distributing parcels in a urban environment. In this paper we consider the parallel drone scheduling traveling salesman problem, where a set of customers requiring a delivery is…

Optimization and Control · Mathematics 2022-10-31 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

In this paper, we study novel variants of the well-known two-echelon vehicle routing problem in which a truck works on the first echelon to transport parcels and a fleet of drones to intermediate depots while in the second echelon, the…

Artificial Intelligence · Computer Science 2020-04-07 Minh Hoàng Hà , Lam Vu , Duy Manh Vu

The use of drones in logistics is gaining more and more interest, and drones are becoming a more viable and common way of distributing parcels in an urban environment. As a consequence, there is a flourishing production of articles in the…

Discrete Mathematics · Computer Science 2021-07-29 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

We introduce a package service model where trucks as well as drones can deliver packages. Drones can travel on trucks or fly; but while flying, drones can only carry one package at a time and have to return to a truck to charge after each…

Optimization and Control · Mathematics 2017-05-19 Rami Daknama , Elisabeth Kraus

Drones have recently emerged as a faster, safer, and cost-efficient way for last-mile deliveries of parcels, particularly for urgent medical deliveries highlighted during the pandemic. This paper addresses a new challenge of multi-parcel…

Robotics · Computer Science 2025-09-22 Chuhao Qin , Arun Narayanan , Evangelos Pournaras

As Urban air mobility scales, commercial drone fleets offer a compelling, yet underexplored opportunity to function as mobile sensor networks for real-time urban traffic monitoring. In this paper, we propose a decentralized framework that…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Pengbo Zhu , Meng Xu , Andreas A. Malikopoulos , Nikolas Geroliminis

We propose an efficient branch-and-cut algorithm to exactly solve the parallel drone scheduling traveling salesman problem. Our algorithm can find optimal solutions for all but two existing instances with up to 229 customers in a reasonable…

Data Structures and Algorithms · Computer Science 2021-11-23 Minh Anh Nguyen , Hai Long Luong , Minh Hoàng Hà , Ha-Bang Ban

Joint parcel delivery by trucks and drones has enjoyed significant attention for some time, as the advantages of one delivery method offset the disadvantages of the other. This paper focuses on the vehicle routing problem with drones and…

Discrete Mathematics · Computer Science 2021-11-29 Felix Tamke , Udo Buscher

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

Delivering a parcel from the distribution hub to the customer's doorstep is called the \textit{last-mile delivery} step in delivery logistics. In this paper, we study a hybrid {\it truck-drones} model for the last-mile delivery step, in…

Data Structures and Algorithms · Computer Science 2024-02-27 Saswata Jana , Giuseppe F. Italiano , Manas Jyoti Kashyop , Athanasios L. Konstantinidis , Evangelos Kosinas , Partha Sarathi Mandal

Collaboration between drones and trucks in a last-mile delivery system offers numerous benefits and reduces many challenges of the traditional delivery system. Here, we introduce Drone-Delivery Packing Problem, where a set of parcels,…

Data Structures and Algorithms · Computer Science 2026-04-28 Saswata Jana , Partha Sarathi Mandal

Bi-modal delivery systems are a promising solution to the challenges posed by the increasing demand of e-commerce. Due to the potential benefit drones can have on logistics networks such as delivery systems, some countries have taken steps…

Optimization and Control · Mathematics 2022-06-10 Mark Beliaev , Negar Mehr , Ramtin Pedarsani

This paper presents a new approach for formulating the delivery problem by drones with general energy consumption models where the drones visit a set of places to deliver parcels to customers. Drones can perform multiple trips that start…

Optimization and Control · Mathematics 2022-11-03 Amir Ahmadi-Javid , Mahla Meskar

Unmanned aerial vehicles, or drones, have the potential to significantly reduce the cost and time of making last-mile deliveries and responding to emergencies. Despite this potential, little work has gone into developing vehicle routing…

Optimization and Control · Mathematics 2016-08-09 Kevin Dorling , Jordan Heinrichs , Geoffrey G. Messier , Sebastian Magierowski

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

Humanitarian logistics service providers have two major responsibilities immediately after a disaster: locating trapped people and routing aid to them. These difficult operations are further hindered by failures in the transportation and…

Optimization and Control · Mathematics 2022-07-04 Tasnim Ibn Faiz , Chrysafis Vogiatzis , Md. Noor-E-Alam

This paper proposes a novel freight multimodal transport problem with buses and drones, where buses are responsible for transporting parcels to lockers at bus stops for storage, while drones are used to deliver each parcel from the locker…

Discrete Mathematics · Computer Science 2025-06-13 E Su , Hu Qin , Jiliu Li , Rui Zhang

Combining an energy-efficient drone with a high-capacity truck for last-mile package delivery can benefit operators and customers by reducing delivery times and environmental impact. However, directly integrating drone flight dynamics into…

Optimization and Control · Mathematics 2025-07-23 Yineng Sun , Armin Fügenschuh , Vikrant Vaze

We consider the problem of controlling a large fleet of drones to deliver packages simultaneously across broad urban areas. To conserve energy, drones hop between public transit vehicles (e.g., buses and trams). We design a comprehensive…

Robotics · Computer Science 2021-01-06 Shushman Choudhury , Kiril Solovey , Mykel J. Kochenderfer , Marco Pavone
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