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Lower Bounds for Searching Robots, some Faulty Kupavskii, Andrey
Description
Suppose we are sending out k robots from 0 to search the real line at a constant speed (with turns) to find a target at an unknown location; f of the robots are faulty, meaning that they fail to report the target although visiting its location. The goal is to find the target in time at most lambda |d|, if the target is located at d, |d|>1, for lambda as small as possible. In this work, we find a tight lower bound for lambda. This is joint work with Emo Welzl.
Item Metadata
Title |
Lower Bounds for Searching Robots, some Faulty
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-02-06T16:56
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Description |
Suppose we are sending out k robots from 0 to search the real line at a constant speed (with turns) to find a target at an unknown location; f of the robots are faulty, meaning that they fail to report the target although visiting its location. The goal is to find the target in time at most lambda |d|, if the target is located at d, |d|>1, for lambda as small as possible. In this work, we find a tight lower bound for lambda. This is joint work with Emo Welzl.
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Extent |
32 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Birmingham
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Series | |
Date Available |
2018-08-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0369717
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International