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Related papers: Linear Search with Terrain-Dependent Speeds

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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…

Discrete Mathematics · Computer Science 2024-04-24 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

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…

Consider search on an infinite line involving an autonomous robot starting at the origin of the line and an oblivious moving target at initial distance $d \geq 1$ from it. The robot can change direction and move anywhere on the line with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-08 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

We study the Symmetric Rendezvous Search Problem for a multi-robot system. There are $n>2$ robots arbitrarily located on a line. Their goal is to meet somewhere on the line as quickly as possible. The robots do not know the initial location…

Robotics · Computer Science 2022-01-04 Deniz Ozsoyeller , Pratap Tokekar

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

We consider linear search for capturing an oblivious moving target by two autonomous robots with different communicating abilities. Both robots can communicate Face-to-Face (F2F) when co-located but in addition one robot is a Sender (can…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-08 Khaled Jawhar , Evangelos Kranakis

We introduce and study a new problem concerning the exploration of a geometric domain by mobile robots. Consider a line segment $[0,I]$ and a set of $n$ mobile robots $r_1,r_2,..., r_n$ placed at one of its endpoints. Each robot has a {\em…

Data Structures and Algorithms · Computer Science 2013-04-30 Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Evangelos Kranakis , Fraser MacQuarrie

We address the problem where a mobile search agent seeks to find an unknown number of stationary objects distributed in a bounded search domain, and the search mission is subject to time/distance constraint. Our work accounts for false…

Robotics · Computer Science 2018-06-26 Harun Yetkin , Collin Lutz , Daniel Stilwell

Driving on the limits of vehicle dynamics requires predictive planning of future vehicle states. In this work, a search-based motion planning is used to generate suitable reference trajectories of dynamic vehicle states with the goal to…

Robotics · Computer Science 2019-07-19 Zlatan Ajanovic , Enrico Regolin , Georg Stettinger , Martin Horn , Antonella Ferrara

We study a search problem on capturing a moving target on an infinite real line. Two autonomous mobile robots (which can move with a maximum speed of 1) are initially placed at the origin, while an oblivious moving target is initially…

Robotics · Computer Science 2025-10-08 Khaled Jawhar , Evangelos Kranakis

We consider the problem of walking in an unknown street, for a robot that has a minimal sensing capability. The robot is equipped with a sensor that only detects the discontinuities in depth information (gaps) and can locate the target…

Computational Geometry · Computer Science 2015-12-09 Azadeh Tabatabaei , Mohammad Ghodsi

We consider a single kinematically controlled robot with a bounded control range. The robot travels in a two-dimensional region supporting an unknown unsteady scalar field. A single sensor provides the field value at the current location of…

Optimization and Control · Mathematics 2015-02-10 Alexey S. Matveev , Michael C. Hoy , Andrey V. Savkin

We consider three related problems of robot movement in arbitrary dimensions: coverage, search, and navigation. For each problem, a spherical robot is asked to accomplish a motion-related task in an unknown environment whose geometry is…

Computational Geometry · Computer Science 2011-10-13 Joshua Brown Kramer , Lucas Sabalka

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

Optimization and Control · Mathematics 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

The paper presents a comprehensive performance evaluation of some heuristic search algorithms in the context of autonomous systems and robotics. The objective of the study is to evaluate and compare the performance of different search…

Multiagent Systems · Computer Science 2023-10-05 Aya Kherrour , Marco Robol , Marco Roveri , Paolo Giorgini

We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

Data Structures and Algorithms · Computer Science 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

We consider the problem of multiple agents or robots searching for a target in the plane. This is motivated by Search and Rescue operations (SAR) in the high seas which in the past were often performed with several vessels, and more…

Robotics · Computer Science 2015-06-26 Alejandro Lopez-Ortiz , Daniela Maftuleac

Inspired by the diverse set of technologies used in underground object detection and imaging, we introduce a novel multimodal linear search problem whereby a single searcher starts at the origin and must find a target that can only be…

Discrete Mathematics · Computer Science 2025-03-03 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales Ponce

This paper deals with the classical problem of exploring a ring by a cohort of synchronous robots. We focus on the perpetual version of this problem in which it is required that each node of the ring is visited by a robot infinitely often.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Marjorie Bournat , Ajoy K. Datta , Swan Dubois

Path planning for robotic coverage is the task of determining a collision-free robot trajectory that observes all points of interest in an environment. Robots employed for such tasks are often capable of exercising active control over…

Robotics · Computer Science 2020-11-17 Tushar Kusnur , Dhruv Mauria Saxena , Maxim Likhachev
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