Two Numerical Methods for Computing the Probability of Outcome of a Battle of Lanchester Type

Methods are developed for the computation of victory probabilities in the classical Lanchester 'modern warfare' model. The first method employs a bivariate normal approximation for state probabilities and a kind of steepest descents technique for the evaluation of the integral: the second...

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Veröffentlicht in:The Journal of the Operational Research Society. - Taylor & Francis, Ltd.. - 43(1992), 8, Seite 797-807
1. Verfasser: Weale, T. G. (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1992
Zugriff auf das übergeordnete Werk:The Journal of the Operational Research Society
Schlagworte:Lanchester Theory Probability of Victory Numerical Methods Computational Analysis Military Moments Battles Mathematics Political science Behavioral sciences Philosophy
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520 |a Methods are developed for the computation of victory probabilities in the classical Lanchester 'modern warfare' model. The first method employs a bivariate normal approximation for state probabilities and a kind of steepest descents technique for the evaluation of the integral: the second proposes a truncated binomial approximation along certain diagonal lines. Both methods depend on moments. Computational performance is discussed. 
540 |a Copyright 1992 The Operational Research Society Limited 
650 4 |a Lanchester Theory 
650 4 |a Probability of Victory 
650 4 |a Numerical Methods 
650 4 |a Computational Analysis 
650 4 |a Military 
650 4 |a Moments 
650 4 |a Battles 
650 4 |a Mathematics  |x Mathematical procedures  |x Approximation 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Distribution functions  |x Probability distributions  |x Mathematical moments 
650 4 |a Political science  |x Military science  |x Armed conflict  |x War  |x Warfare 
650 4 |a Mathematics  |x Pure mathematics  |x Algebra  |x Polynomials  |x Binomials  |x Binomial distributions 
650 4 |a Behavioral sciences  |x Psychology  |x Cognitive psychology  |x Decision theory  |x Operations research 
650 4 |a Mathematics  |x Pure mathematics  |x Calculus  |x Differential calculus  |x Differential equations 
650 4 |a Mathematics  |x Pure mathematics  |x Discrete mathematics  |x Combinatorics  |x Combinatorial analysis  |x Factorials 
650 4 |a Mathematics  |x Mathematical analysis  |x Numerical analysis  |x Numerical methods 
650 4 |a Mathematics  |x Pure mathematics  |x Algebra  |x Polynomials  |x Binomials 
650 4 |a Philosophy  |x Metaphysics  |x Etiology  |x Determinism 
655 4 |a research-article 
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952 |d 43  |j 1992  |e 8  |h 797-807