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Lanchester Models and the Battle of Britain

机译:兰切斯特模特与不列颠之战

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We fit deterministic generalized Lanchester models to daily sortie and loss data from the Battle of Britain. The best fit for the period 14th August to 30th October 1940 is SB ~ G~ 9, SG ~ G0-9, where B and G are RAF Fighter Command and Luftwaffe sortie numbers, and SB and SG are daily loss numbers, respectively. The data naturally divide into two phases, with losses (as a proportion of overall sortie numbers) much reduced after 15th September. Fits were generally better for the first phase than for the second, and for British losses than for German; in every case the dependence on G is stronger than that on B. Days with higher sortie numbers on average favored the Luftwaffe, whereas the loss-ratio was not significantly dependent on the force ratio. Lanchaster equations; military modeling; air power
机译:我们将确定性的广义Lanchester模型拟合到不列颠战役的每日出动和损失数据。最适合1940年8月14日至10月30日的时间是SB〜G〜9,SG〜G0-9,其中B和G分别是皇家空军战斗机司令部和德国空军出击数,而SB和SG分别是每日损失数。数据自然分为两个阶段,9月15日之后损失(占总出勤数量的比例)大大减少。通常来说,第一阶段比第二阶段更合适,英国损失比德国更好。在每种情况下,对G的依赖性都强于对B的依赖性。平均出手数更高的日子更偏爱德国空军,而损失率并不显着取决于力比。 Lanchaster方程;军事模型;空中力量

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  • 来源
    《Naval Research Logistics》 |2011年第3期|210-222|共13页
  • 作者单位

    Department of Mathematics, University of York, York YOlO 5DD, United Kingdom;

    Department of Mathematics, University of York, York YOlO 5DD, United Kingdom;

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