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相关论文: Reaching a Target in the Plane with no Information

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A mobile agent equipped with a compass and a measure of length has to find an inert treasure in the Euclidean plane. Both the agent and the treasure are modeled as points. In the beginning, the agent is at a distance at most $D>0$ from the…

数据结构与算法 · 计算机科学 2020-05-05 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

Two mobile agents, starting at arbitrary, possibly different times from arbitrary locations in the plane, have to meet. Agents are modeled as discs of diameter 1, and meeting occurs when these discs touch. Agents have different labels which…

分布式、并行与集群计算 · 计算机科学 2017-09-20 Samir Elouasbi , Andrzej Pelc

We study the problem of treasure hunt in a Euclidean plane by a mobile agent with the guidance of pebbles. The initial position of the agent and position of the treasure are modeled as special points in the Euclidean plane. The treasure is…

分布式、并行与集群计算 · 计算机科学 2023-05-11 Adri Bhattacharya , Barun Gorain , Partha Sarathi Mandal

In this paper we study the task of approach of two mobile agents having the same limited range of vision and moving asynchronously in the plane. This task consists in getting them in finite time within each other's range of vision. The…

数据结构与算法 · 计算机科学 2018-07-10 Sébastien Bouchard , Marjorie Bournat , Yoann Dieudonné , Swan Dubois , Franck Petit

Two mobile agents (robots) with distinct labels have to meet in an arbitrary, possibly infinite, unknown connected graph or in an unknown connected terrain in the plane. Agents are modeled as points, and the route of each of them only…

数据结构与算法 · 计算机科学 2016-11-25 Jurek Czyzowicz , Arnaud Labourel , Andrzej Pelc

We introduce a pursuit game played between a team of a sensor and an attacker and a mobile target in the unbounded Euclidean plane. The target is faster than the sensor, but slower than the attacker. The sensor's objective is to keep the…

系统与控制 · 电气工程与系统科学 2025-09-09 Prajakta Surve , Shaunak D. Bopardikar , Alexander Von Moll , Isaac Weintraub , David W. Casbeer

We study the problem of searching for a target at some unknown location in $\mathbb{R}^d$ when additional information regarding the position of the target is available in the form of predictions. In our setting, predictions come as…

计算几何 · 计算机科学 2025-04-08 Sergio Cabello , Panos Giannopoulos

We address the problem of persistent monitoring, where a finite set of mobile agents has to persistently visit a finite set of targets. Each of these targets has an internal state that evolves with linear stochastic dynamics. The agents can…

系统与控制 · 电气工程与系统科学 2020-04-23 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

Two mobile agents (robots) have to meet in an a priori unknown bounded terrain modeled as a polygon, possibly with polygonal obstacles. Agents are modeled as points, and each of them is equipped with a compass. Compasses of agents may be…

计算几何 · 计算机科学 2015-05-14 Jurek Czyzowicz , David Ilcinkas , Arnaud Labourel , Andrzej Pelc

We consider linear search for an escaping target whose speed and initial position are unknown to the searcher. A searcher (an autonomous mobile agent) is initially placed at the origin of the real line and can move with maximum speed $1$ in…

离散数学 · 计算机科学 2024-04-24 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

We study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of…

数据结构与算法 · 计算机科学 2014-06-12 Shantanu Das , Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski

Two mobile agents represented by points freely moving in the plane and starting at two distinct positions, have to meet. The meeting, called rendezvous, occurs when agents are at distance at most $r$ of each other and never move after this…

数据结构与算法 · 计算机科学 2020-05-05 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

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…

数据结构与算法 · 计算机科学 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li

A mobile agent has to find an inert treasure hidden in the plane. Both the agent and the treasure are modeled as points. This is a variant of the task known as treasure hunt. The treasure is at a distance at most $D$ from the initial…

数据结构与算法 · 计算机科学 2019-02-19 Andrzej Pelc , Ram Narayan Yadav

Assume that a target is known to be present at an unknown point among a finite set of locations in the plane. We search for it using a mobile robot that has imperfect sensing capabilities. It takes time for the robot to move between…

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…

离散数学 · 计算机科学 2025-05-15 Jared Coleman , Oscar Morales-Ponce

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…

分布式、并行与集群计算 · 计算机科学 2025-07-08 Younan Gao , Andrzej Pelc

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…

分布式、并行与集群计算 · 计算机科学 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

In this paper we consider a class of dynamic vehicle routing problems, in which a number of mobile agents in the plane must visit target points generated over time by a stochastic process. It is desired to design motion coordination…

最优化与控制 · 数学 2007-05-23 Alessandro Arsie , Emilio Frazzoli

We consider the problem of minimizing the worst-case search time for a hidden point target in the plane using multiple mobile agents of differing speeds, all starting from a common origin. The search time is normalized by the target's…

数据结构与算法 · 计算机科学 2026-02-02 Konstantinos Georgiou , Caleb Jones , Matthew Madej
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