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Consider a small group of mobile agents whose goal is to locate a certain cell in a two-dimensional infinite grid. The agents operate in an asynchronous environment, where in each discrete time step, an arbitrary subset of the agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Sebastian Brandt , Jara Uitto , Roger Wattenhofer

We consider search by mobile agents for a hidden, idle target, placed on the infinite line. Feasible solutions are agent trajectories in which all agents reach the target sooner or later. A special feature of our problem is that the agents…

Data Structures and Algorithms · Computer Science 2023-03-29 Konstantinos Georgiou , Nikos Giachoudis , Evangelos Kranakis

We study a distributed coordination mechanism for uniform agents located on a circle. The agents perform their actions in synchronised rounds. At the beginning of each round an agent chooses the direction of its movement from clockwise,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-28 Leszek Gasieniec , Tomasz Jurdzinski , Russell Martin , Grzegorz Stachowiak

We consider the problem of finding a treasure at an unknown point of an $n$-dimensional infinite grid, $n\geq 3$, by initially collocated finite state agents (scouts/robots). Recently, the problem has been well characterized for 2…

Multiagent Systems · Computer Science 2019-02-12 Stefan Dobrev , Lata Narayanan , Jaroslav Opatrny , Denis Pankratov

The problem of finding conflict-free trajectories for multiple agents of identical circular shape, operating in shared 2D workspace, is addressed in the paper and decoupled, e.g., prioritized, approach is used to solve this problem. Agents'…

Artificial Intelligence · Computer Science 2017-03-16 Konstantin Yakovlev , Anton Andreychuk

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

Optimization and Control · Mathematics 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

We consider discrete dynamical systems of "ant-like" agents engaged in a sequence of pursuits on a graph environment. The agents emerge one by one at equal time intervals from a source vertex $s$ and pursue each other by greedily attempting…

Discrete Mathematics · Computer Science 2019-08-09 Michael Amir , Alfred M. Bruckstein

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

Data Structures and Algorithms · Computer Science 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Younan Gao , Andrzej Pelc

A mobile agent has to reach a target in the Euclidean plane. Both the agent and the target are modeled as points. In the beginning, the agent is at distance at most $D>0$ from the target. Reaching the target means that the agent gets at a…

Data Structures and Algorithms · Computer Science 2017-10-20 Andrzej Pelc

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

We present results on new variants of the famous linear search (or cow-path) problem that involves an agent searching for a target with unknown position on the infinite line. We consider the variant where the agent can move either at speed…

Discrete Mathematics · Computer Science 2025-05-15 Jared Coleman , Oscar Morales-Ponce

Models for pedestrian dynamics are often based on microscopic approaches allowing for individual agent navigation. To reach a given destination, the agent has to consider environmental obstacles. We propose a direction field calculated on a…

Physics and Society · Physics 2021-04-01 Michael Schultz , Tobias Kretz , Hartmut Fricke

We investigate the problem of optimally observing a finite set of targets using a mobile agent over an infinite time horizon. The agent is tasked to move in a network-constrained structure to gather information so as to minimize the…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Samuel C. Pinto , Shirantha Welikala , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We consider the problem of locating a single facility for 2 agents in $L_p$ space ($1<p<\infty$) and give a nearly complete characterization of such deterministic strategyproof mechanisms. We use the distance between an agent and the…

Computer Science and Game Theory · Computer Science 2020-11-30 Jianan Lin

Two identical anonymous mobile agents have to meet at a node of the infinite oriented grid whose nodes are unlabeled. This problem is known as rendezvous. The agents execute the same deterministic algorithm. Time is divided into rounds, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Younan Gao , Andrzej Pelc

We investigate two fundamental problems in mobile computing: exploration and rendezvous, with two distinct mobile agents in an unknown graph. The agents may communicate by reading and writing information on whiteboards that are located at…

Multiagent Systems · Computer Science 2024-07-08 Romain Cosson

In this work, we study the problem where a group of mobile agents needs to reach a set of goal locations, but it does not matter which agent reaches a specific goal. Unlike most of the existing works on this topic that typically assume the…

Multiagent Systems · Computer Science 2024-12-31 Stepan Dergachev , Konstantin Yakovlev

Multi-Agent Path Finding (MAPF) is a fundamental motion coordination problem arising in multi-agent systems with a wide range of applications. The problem's intractability has led to extensive research on improving the scalability of…

Multiagent Systems · Computer Science 2023-05-26 Tzvika Geft

The difference between the speed of the actions of different processes is typically considered as an obstacle that makes the achievement of cooperative goals more difficult. In this work, we aim to highlight potential benefits of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-15 Ofer Feinerman , Amos Korman , Shay Kutten , Yoav Rodeh
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