计算毁伤概率的二项展开优化法  

Binomial Expansion Advantage Method for Computing the Kill Probability

作　　者：刘力维[1] 吕士明[1] 

机构地区：[1]南京理工大学理学院,江苏南京210094

出　　处：《数学的实践与认识》2005年第3期69-74,共6页Mathematics in Practice and Theory

摘　　要：对着发射击高射武器系统毁伤概率的计算公式提出了一种新算法 ,称为二项展开优化法 .它是在原有的常用算法二项展开法基础上改进得到的 .新算法保留了二项展开法实施容易、计算快的特点 ,又在一定程度上克服了原算法由于计算组合数 Ck N而带来的计算机计算过程中的舍入误差 .最后 ,文章又用实例比较了几种算法在计算毁伤概率值的精度与差异 .The paper puts forward a new method, named Binomial Expansion Advantage Method, to calculate the kill probability for an antiaircraft weapon system to kill an air target by direct hits. It is obtained by improving the original common useful method—Binomial Expansion Method. The new method keeps the features of easy practice and high computation speed had by BEM, and in a certain degree overcomes the weakness of relatively great round error of BEM in its computing process of calculating the combination number Ck N by a computer. Finally, the paper compares their precision and difference of the calculation methods in computing the killing probability with an example.

关 键 词：毁伤概率 二项展开优化法 高射武器 计算精度 强相关误差 

分 类 号：E911[军事]