Provable Methods for Searching with an Imperfect Sensor

Fuente: arXiv
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Hauptverfasser: Chakraborty, Nilanjan, Kasthurirangan, Prahlad Narasimhan, Mitchell, Joseph S. B., Nguyen, Linh, Perk, Michael
Format: Preprint
Veröffentlicht: 2024
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author Chakraborty, Nilanjan
Kasthurirangan, Prahlad Narasimhan
Mitchell, Joseph S. B.
Nguyen, Linh
Perk, Michael
author_facet Chakraborty, Nilanjan
Kasthurirangan, Prahlad Narasimhan
Mitchell, Joseph S. B.
Nguyen, Linh
Perk, Michael
contents 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 locations and search a location; we have a total time budget within which to conduct the search. We study the problem of computing a search path/strategy for the robot that maximizes the probability of detection of the target. Considering non-uniform travel times between points (e.g., based on the distance between them) is crucial for search and rescue applications; such problems have been investigated to a limited extent due to their inherent complexity. In this paper, we describe fast algorithms with performance guarantees for this search problem and some variants, complement them with complexity results, and perform experiments to observe their performance.
format Preprint
id arxiv_https___arxiv_org_abs_2410_06069
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Provable Methods for Searching with an Imperfect Sensor
Chakraborty, Nilanjan
Kasthurirangan, Prahlad Narasimhan
Mitchell, Joseph S. B.
Nguyen, Linh
Perk, Michael
Robotics
Computational Geometry
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 locations and search a location; we have a total time budget within which to conduct the search. We study the problem of computing a search path/strategy for the robot that maximizes the probability of detection of the target. Considering non-uniform travel times between points (e.g., based on the distance between them) is crucial for search and rescue applications; such problems have been investigated to a limited extent due to their inherent complexity. In this paper, we describe fast algorithms with performance guarantees for this search problem and some variants, complement them with complexity results, and perform experiments to observe their performance.
title Provable Methods for Searching with an Imperfect Sensor
topic Robotics
Computational Geometry
url https://arxiv.org/abs/2410.06069