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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

This work focuses on exact methods for a Simultaneous Vehicle Routing and Crew Scheduling Problem in long-haul transport. Pickup-and-delivery requests with time windows must be fullfiled over a multi-day planning horizon. Unlike some…

Optimization and Control · Mathematics 2024-05-31 Mauro Lucci , Daniel Severin , Paula Zabala

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

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

Systems and Control · Electrical Eng. & Systems 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

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

In this paper, we investigate the problem of a last-mile delivery service that selects up to $N$ available vehicles to deliver $M$ packages from a centralized depot to $M$ delivery locations. The objective of the last-mile delivery service…

Multiagent Systems · Computer Science 2023-01-05 Meera Ratnagiri , Clare O'Dwyer , Logan E. Beaver , Heeseung Bang , Behdad Chalaki , Andreas A. Malikopoulos

Constant-factor, polynomial-time approximation algorithms are presented for two variations of the traveling salesman problem with time windows. In the first variation, the traveling repairman problem, the goal is to find a tour that visits…

Data Structures and Algorithms · Computer Science 2009-05-28 Greg N. Frederickson , Barry Wittman

We study a fundamental cooperative message-delivery problem on the plane. Assume $n$ robots which can move in any direction, are placed arbitrarily on the plane. Robots each have their own maximum speed and can communicate with each other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

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

In the Traveling Salesman Problem with Drones (TSP-mD), a truck and multiple drones cooperate to serve customers in the minimum amount of time. The drones are launched and retrieved by the truck at customer locations, and each of their…

Optimization and Control · Mathematics 2023-07-25 Nicola Morandi , Roel Leus , Jannik Matuschke , Hande Yaman

Many real-world optimization problems have multiple interacting components. Each of these can be NP-hard and they can be in conflict with each other, i.e., the optimal solution for one component does not necessarily represent an optimal…

Neural and Evolutionary Computing · Computer Science 2021-09-13 Jonatas B. C. Chagas , Markus Wagner

The aim of the paper is to compare different approximation algorithms for the travelling salesperson problem. We pick the most popular and widespread methods known in the literature and contrast them with a novel approach (the polygonal…

Combinatorics · Mathematics 2021-09-03 Mateusz Krukowski , Filip Turoboś

Companies like Amazon and UPS are heavily invested in last-mile delivery problems. Optimizing last-delivery operations not only creates tremendous cost savings for these companies but also generate broader societal and environmental…

Applications · Statistics 2024-10-24 Nicholas Rios , Jie Xu

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

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

In this work, we consider extensions of both the Line Traveling Salesman and Line Traveling Repairman Problem, in which a single server must service a set of clients located along a line segment under the assumption that not only the…

Computational Complexity · Computer Science 2025-06-05 Julian Golak , Finn Sörensen , Malte Fliedner

We revisit the traveling salesman problem with neighborhoods (TSPN) and propose several new approximation algorithms. These constitute either first approximations (for hyperplanes, lines, and balls in $\mathbb{R}^d$, for $d\geq 3$) or…

Computational Geometry · Computer Science 2015-11-26 Adrian Dumitrescu , Csaba D. Tóth

The coordination among drones and ground vehicles for last-mile delivery has gained significant interest in recent years. In this paper, we study \textit{multiple drone delivery scheduling problem(MDSP) \cite{Betti_ICDCN22} for last-mile…

Data Structures and Algorithms · Computer Science 2022-11-15 Saswata Jana , Partha Sarathi Mandal

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