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We consider the distributed optimization problem for the sum of convex functions where the underlying communications network connecting agents at each time is drawn at random from a collection of directed graphs. Building on an earlier work…

Optimization and Control · Mathematics 2020-09-16 Pouya Rezaeinia , Bahman Gharesifard

We propose distributed algorithms to automatically deploy a team of mobile robots to partition and provide coverage of a non-convex environment. To handle arbitrary non-convex environments, we represent them as graphs. Our partitioning and…

Robotics · Computer Science 2016-11-17 Joseph W. Durham , Ruggero Carli , Paolo Frasca , Francesco Bullo

We propose a new model for formalizing reward collection problems on graphs with dynamically generated rewards which may appear and disappear based on a stochastic model. The *robot routing problem* is modeled as a graph whose nodes are…

Systems and Control · Computer Science 2017-07-18 Rayna Dimitrova , Ivan Gavran , Rupak Majumdar , Vinayak S. Prabhu , Sadegh Esmaeil Zadeh Soudjani

This paper proposes a framework for improving the operational efficiency of automated storage systems under uncertainty. It considers a 2D grid-based storage for uniform-sized loads (e.g., containers, pallets, or totes), which are moved by…

Robotics · Computer Science 2026-01-28 Tzvika Geft , William Zhang , Jingjin Yu , Kostas Bekris

This work focuses on the following question related to the Gathering problem of $n$ autonomous, mobile robots in the Euclidean plane: Is it possible to solve Gathering of robots that do not agree on any axis of their coordinate systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Jannik Castenow , Jonas Harbig , Daniel Jung , Till Knollmann , Friedhelm Meyer auf der Heide

This paper addresses the problem of coordination of a fleet of mobile robots - the problem of finding an optimal set of collision-free trajectories for individual robots in the fleet. Many approaches have been introduced during the last…

Robotics · Computer Science 2019-01-23 Jakub Hvězda , Miroslav Kulich , Libor Přeučil

In the field of swarm robotics, one of the most studied problem is Gathering. It asks for a distributed algorithm that brings the robots to a common location, not known in advance. We consider the case of robots constrained to move along…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-12 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

The field of dynamic graph algorithms aims at achieving a thorough understanding of real-world networks whose topology evolves with time. Traditionally, the focus has been on the classic sequential, centralized setting where the main…

Data Structures and Algorithms · Computer Science 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

Distributionally robust optimization (DRO) is a widely-used approach to learn models that are robust against distribution shift. Compared with the standard optimization setting, the objective function in DRO is more difficult to optimize,…

Machine Learning · Computer Science 2021-10-27 Jikai Jin , Bohang Zhang , Haiyang Wang , Liwei Wang

A key challenge in robotics is the efficient generation of optimal robot motion with safety guarantees in cluttered environments. Recently, deterministic optimal sampling-based motion planners have been shown to achieve good performance…

Robotics · Computer Science 2020-07-27 Luigi Palmieri , Leonard Bruns , Michael Meurer , Kai Oliver Arras

We consider a team of {\em autonomous weak robots} that are endowed with visibility sensors and motion actuators. Autonomous means that the team cannot rely on any kind of central coordination mechanism or scheduler. By weak we mean that…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-08 Stéphane Devismes , Anissa Lamani , Franck Petit , Pascal Raymond , Sébastien Tixeuil

Although the field of distributed optimization is well-developed, relevant literature focused on the application of distributed optimization to multi-robot problems is limited. This survey constitutes the second part of a two-part series on…

Robotics · Computer Science 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

We consider the dispersion problem for mobile agents. Initially, k agents are located at arbitrary nodes in an undirected graph. Agents can migrate from node to node via an edge in the graph synchronously. Our goal is to let the k agents be…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-24 Takahiro Shintaku , Yuichi Sudo , Hirotsugu Kakugawa , Toshimitsu Masuzawa

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

Distributed optimization provides a framework for deriving distributed algorithms for a variety of multi-robot problems. This tutorial constitutes the first part of a two-part series on distributed optimization applied to multi-robot…

Robotics · Computer Science 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

The development of smart grids has effectively transformed the traditional grid system. This promises numerous advantages for economic values and autonomous control of energy sources. In smart grids development, there are various objectives…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Kayode Adetunji , Ivan Hofsajer , Ling Cheng

This work deals with the problem of gathering $n$ oblivious mobile entities, called robots, at a point (not known beforehand) placed on an infinite triangular grid. The robots are considered to be myopic, i.e., robots have limited…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-29 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

We study the problem of multi-robot target assignment to minimize the total distance traveled by the robots until they all reach an equal number of static targets. In the first half of the paper, we present a necessary and sufficient…

Robotics · Computer Science 2014-08-01 Jingjin Yu , Soon-Jo Chung , Petros G. Voulgaris

We consider a swarm of $n$ robots in \mathbb{R}^d. The robots are oblivious, disoriented (no common coordinate system/compass), and have limited visibility (observe other robots up to a constant distance). The basic formation task gathering…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 Jannik Castenow , Jonas Harbig , Daniel Jung , Peter Kling , Till Knollmann , Friedhelm Meyer auf der Heide
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