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We study the problem of deploying a fleet of mobile robots to service tasks that arrive stochastically over time and at random locations in an environment. This is known as the Dynamic Vehicle Routing Problem (DVRP) and requires robots to…

We consider k mobile agents initially located at distinct nodes of an undirected graph (on n nodes, with edge lengths) that have to deliver a single item from a given source node s to a given target node t. The agents can move along the…

Data Structures and Algorithms · Computer Science 2018-09-05 Andreas Bärtschi , Daniel Graf , Matus Mihalak

We have a set of processors (or agents) and a set of graph networks defined over some vertex set. Each processor can access a subset of the graph networks. Each processor has a demand specified as a pair of vertices $<u, v>$, along with a…

Data Structures and Algorithms · Computer Science 2012-10-08 Venkatesan T. Chakaravarthy , Sambuddha Roy , Yogish Sabharwal

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

Discrete Mathematics · Computer Science 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

Robots performing tasks in warehouses provide the first example of wide-spread adoption of autonomous vehicles in transportation and logistics. The efficiency of these operations, which can vary widely in practice, are a key factor in the…

We introduce and study a new cooperative delivery problem inspired by drone-assisted package delivery. We consider a scenario where a drone, en route to deliver a package to a destination (a point on the plane), unexpectedly loses…

Discrete Mathematics · Computer Science 2024-04-30 Jared Coleman , Danny Krizanc , Evangelos Kranakis , Oscar Morales-Ponce

Inspired by the great success of machine learning in the past decade, people have been thinking about the possibility of improving the theoretical results by exploring data distribution. In this paper, we revisit a fundamental problem…

Data Structures and Algorithms · Computer Science 2020-06-24 Hao Wu , Junhao Gan , Rui Zhang

Platelet extraction requires whole blood to be processed within six hours of donation. To meet this deadline, blood collection organizations must optimally route a fleet of vehicles to pick up blood units from donation sites and deliver…

Optimization and Control · Mathematics 2026-01-29 Amirhossein Abbaszadeh , Hossein Hashemi Doulabi

Optimal transport (OT) is a framework that can guide the design of efficient resource allocation strategies in a network of multiple sources and targets. This paper applies discrete OT to a swarm of UAVs in a novel way to achieve…

Multiagent Systems · Computer Science 2022-12-01 Jason Hughes , Dominic Larkin , Charles O'Donnell , Christopher Korpela

The dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of the graph. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

We study the problem of broadcasting packets in wireless networks. At each time slot, a network controller activates non-interfering links and forwards packets to all nodes at a common rate; the maximum rate is referred to as the broadcast…

Networking and Internet Architecture · Computer Science 2014-11-25 Abhishek Sinha , Georgios Paschos , Chih-ping Li , Eytan Modiano

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

Robotics · Computer Science 2020-08-04 Philipp Foehn , Davide Scaramuzza

Coordinated truck-and-drone routing integrates the high capacity and range of ground vehicles with the flexible routing and speed of drones, enabling simultaneous service. Increasingly applied in last-mile delivery, this synchronization…

Optimization and Control · Mathematics 2026-02-25 Ke Xu , John Gunnar Carlsson

The distributed non-smooth resource allocation problem over multi-agent networks is studied in this paper, where each agent is subject to globally coupled network resource constraints and local feasibility constraints described in terms of…

Optimization and Control · Mathematics 2022-03-11 Xiaohong Nian , Fan Li , Dongxin Liu

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis

We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

Robotics · Computer Science 2015-12-08 Jingjin Yu

This research has addressed three critical challenges inherent in the implementation of drone delivery systems, namely, optimizing battery charging station placement, solving the shortest path problem for drones within their single battery…

Optimization and Control · Mathematics 2023-11-30 Saayuj Deshpande , Purushotham Mani

The use of unmanned aerial vehicles (UAVs) as delivery systems of online goods is rapidly becoming a global norm, as corroborated by Amazon's "Prime Air" and Google's "Project Wing" projects. However, the real-world deployment of such drone…

Computer Science and Game Theory · Computer Science 2017-02-15 Anibal Sanjab , Walid Saad , Tamer Başar

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