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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 study the Flying Sidekick Traveling Salesman Problem with Multiple Drops (FSTSP-MD), a multi-modal last-mile delivery model where a single truck and a single drone cooperatively deliver customer packages. In the FSTSP-MD, the drone can…

In this paper, we study the feasibility of sending drones to deliver goods from a depot to a customer by solving what we call the Mission-Feasibility Problem (MFP). Due to payload constraints, the drone can serve only one customer at a…

Robotics · Computer Science 2020-12-18 Francesco Betti Sorbelli , Federico Corò , Sajal K. Das , Cristina M. Pinotti

This paper addresses the Traveling Salesman Problem with Drone (TSP-D), in which a truck and drone are used to deliver parcels to customers. The objective of this problem is to either minimize the total operational cost (min-cost TSP-D) or…

Artificial Intelligence · Computer Science 2019-11-20 Quang Minh Ha , Yves Deville , Quang Dung Pham , Minh Hoàng Hà

For the problem of delivering a package from a source node to a destination node in a graph using a set of drones, we study the setting where the movements of each drone are restricted to a certain subgraph of the given graph. We consider…

Data Structures and Algorithms · Computer Science 2022-09-27 Thomas Erlebach , Kelin Luo , Frits C. R. Spieksma

We study the truck-drone cooperative delivery problem in a setting where a single truck carrying a drone travels at constant speed on a straight-line trajectory/street. Delivery to clients located in the plane and not on the truck's…

Data Structures and Algorithms · Computer Science 2024-02-02 Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Denis Pankratov

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

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

The focus of this paper is to increase our understanding of the Longest Processing Time First (LPT) heuristic. LPT is a classical heuristic for the fundamental problem of uniform machine scheduling. For different machine speeds, LPT was…

Data Structures and Algorithms · Computer Science 2024-10-02 L. Sunil Chandran , Rishikesh Gajjala , Shravan Mehra , Saladi Rahul

Drone applications continue to expand across various domains, with flocking offering enhanced cooperative capabilities but introducing significant challenges during initial formation. Existing flocking algorithms often struggle with…

Robotics · Computer Science 2025-12-24 Sujan Warnakulasooriya , Andreas Willig , Xiaobing Wu

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

Drones have attracted growing interest in last-mile delivery due to their potential to significantly reduce costs and enhance operational flexibility, particularly in areas of sparse and uncertain demand where traditional truck delivery…

Optimization and Control · Mathematics 2025-04-08 Linxuan Shi , Zhengtian Xu , Miguel Lejeune , Qi Luo

The application of drones in the last-mile distribution is a research hotspot in recent years. Different from the previous urban distribution mode that depends on trucks, this paper proposes a novel package pick-up and delivery mode and…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Fangyu Hong , Guohua Wu , Qizhang Luo , Huan Liu , Xiaoping Fang , Witold Pedrycz

The drone-based last-mile delivery is an emerging technology to deliver parcels using drones loaded on a truck. As more and more autonomous vehicles (AVs) will be available for delivery services, an opportunity is arising to fully automate…

Computers and Society · Computer Science 2021-09-28 Navid Mohammad Imran , Sabya Mishra , Myounggyu Won

Meal delivery services provided by platforms with integrated delivery systems are becoming increasingly popular. This paper adopts a rolling horizon approach to solve the meal delivery routing problem (MDRP). To improve delivery efficiency…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Lejun Zhou , Anke Ye , Simon Hu

This paper formulates a team orienteering problem with multiple fixed-wing drones and develops a branch-and-price algorithm to solve the problem to optimality. Fixed-wing drones, unlike rotary drones, have kinematic constraints associated…

Optimization and Control · Mathematics 2021-12-03 Kaarthik Sundar , Sujeevraja Sanjeevi , Christopher Montez

This paper presents a set of new formulations for the Flying Sidekick Traveling Salesman Problem, where a truck and a drone cooperate to delivery parcels to customers minimizing the completion time. The new formulations improve the results…

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

Fast shipping and efficient routing are key problems of modern logistics. Building on previous studies that address package delivery from a source node to a destination within a graph using multiple agents (such as vehicles, drones, and…

Computational Complexity · Computer Science 2025-02-25 Simon Bartlmae , Andreas Hene , Kelin Luo

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

The drone delivery problem (DDP) has been introduced to include aerial vehicles in last-mile delivery operations to increase efficiency. However, the existing studies have not incorporated the communication quality requirements of such a…

Optimization and Control · Mathematics 2022-03-14 Cihan Tugrul Cicek , Çağrı Koç , Hakan Gultekin , Güneş Erdoğan