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  • 1
    Digitale Medien
    Digitale Medien
    A stochastic homicidal chauffeur pursuit-evasion differential game (1981)
    Springer
    Journal of optimization theory and applications 34 (1981), S. 405-424 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Stochastic differential games ; pursuit-evasion ; homicidal chauffeur ; two-target differential games
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A certain stochastic pursuit-evasion problem of the homicidal chauffeur type is considered. The pursuer strategy synthesized in this paper is fairly simple in contrast to the less straightforward swerve maneuver employed in the deterministic model. The analysis may partially explain why relatively simple pursuit strategies are apparently always adopted in practice.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934680
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    One pursuer and two evaders on the line: A stochastic pursuit-evasion differential game (1983)
    Springer
    Journal of optimization theory and applications 39 (1983), S. 513-539 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Stochastic differential games ; pursuit-evasion ; degenerate parabolic partial differential equations ; convective heat conduction
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A differential game of pursuit and evasion on the real line is discussed with one pursuer and two evaders, the motion of the players being affected by noise. The game of degree is considered, where the pursuer strives to maximize the probability of his winning the game, i.e., of capturing at least one of the evaders, the probability function being given as a solution to a certain partial differential equation; the heat conduction analogy is also being discussed. The degenerate situation here arises in a natural way, and it is possible to present a quite detailed analysis of this case.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00933756
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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