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毁伤目标时间的离散PH分布与表示 被引量:2

The Discrete PH Distributions and Expressions of the Time till Killing a Target
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摘要 本文研究毁伤目标离散时间的概率分布和PH表示.在射击时间间隔服从离散PH分布的条件下,本文导出了不考虑发现目标因素和考虑该因素二种情况下,毁伤目标时间的离散PH表示与分布.同时,文章用实例说明了求毁伤目标离散时间的PH表示、概率分布和毁伤目标平均离散时间的方法. The paper discusses the probability distributions and PH expressions of the discrete time till killing a target.Under the hypothesis that the time between rounds fired follows a discrete PH distribution,it deduces the discrete PH expressions and distributions of the time till killing a target in two situations,considering and not considering the factor of finding the target.Also it gives an example to illustrate the methods for solving the PH distribution and the average value of the discrete time till killing the target.
出处 《应用概率统计》 CSCD 北大核心 2013年第1期1-9,共9页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(60874118)资助
关键词 离散PH分布 随机分析 矩阵分析 PH distribution stochastic analysis matrix analysis.
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参考文献15

  • 1Hausken, K. and Moxnes, F.J., Stochastic conditional and unconditional warfare, European Journal of Operational Research, 140(2002), 61-87.
  • 2Bracken, J., Lanchester models of the ardennes campaign, Naval Research Logistics, 42(1995), 559- 577.
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二级参考文献16

  • 1Hausken K,Moxnes F J.Stochastic Conditional and Unconditional Warfare.European Journal of Operational Research,2002,140:61-87
  • 2Bracken J.Lanchester Models of the Ardennes Campaign.Naval Research Logistics,1995,42:559-577
  • 3Hausken K,Moxnes K R.The Microfoundations of the Lanchester War Equations.Military Operations Research,2000,5(3):79-99
  • 4Williams T,Ancker C J.Stochastic Duels.Operations Research,1963,11:803-817
  • 5Ancker C J.A Proposed Foundation for a Theory of Combat.Naval Research Logistics,1995,42:311-343
  • 6Liu Liwei,Yu Jun,Guo Zhi.A Kind of Stochastic Duel Model for Guerrilla War.European Journal of Operational Research,2006,171:430-438
  • 7Ancker C J,Williams T.Some Discrete Processes in the Theory of Stochastic Duels.Operations Research,1965,13:202-216
  • 8Gafarian A V,Manion K R.Some Two-on-two Homogeneous Stochastic Combats.Naval Research Logistics,1989,36(6):721-764
  • 9Kikuta K.A Note on the One Against Many Battle.Operations Research,1983,31:952-956
  • 10Parkhideh S,Gafarian A V.General Solution to Many-on-many Heterogeneous Stochastic Combat.Naval Research Logistics,1996,43:937-953

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