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INFORMS Journal on Computing
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INFORMS Journal on Computing
Article . 1992 . Peer-reviewed
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“Lion and Man”: Upper and Lower Bounds

``Lion and man'': Upper and lower bounds
descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1992 English Publisher:Institute for Operations Research and the Management Sciences (INFORMS)Journal:ORSA Journal on Computing, volume 4, pages 447-452 (issn: 0899-1499, eissn: 2326-3245, Copyright policy )
Authors: Alonso, Laurent; Goldstein, Arthur S.; Reingold, Edward M.;

doi: 10.1287/ijoc.4.4.447

“Lion and Man”: Upper and Lower Bounds

Abstract

Given a lion and a man, their initial positions, and restrictions on their ranges and speeds, how quickly can the lion get within a given distance from the man? We consider the case in which the lion and man are restricted to the interior of a circle and each is limited to the same speed. INFORMS Journal on Computing, ISSN 1091-9856, was published as ORSA Journal on Computing from 1989 to 1995 under ISSN 0899-1499.

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Keywords

lion and man pursuit problem, Differential games (aspects of game theory), Positional games (pursuit and evasion, etc.)

  • BIP!
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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 38
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
38
Top 10%
Top 10%
Average
bronze