一类三对二随机格斗的获胜概率

The Winning Probabilities of a kind ofThree-versus-Two Stochastic Duel

随机格斗从一对一格斗模型出发,逐步向更多数量的格斗发展,研究三对二随机格斗战斗模型,假设格斗开始时A方有三件武器,B方有两件武器,所有开火都是独立的,利用状态概率分析方法和向后递归方法,给出了集火射击情况下双方获胜概率的计算公式,该公式适用于一般分布,公式中主要包括毁伤时间的密度函数和余分布函数,并对射击间隔时间服从负指数分布的情形进行了模拟分析。

The development of stochastic duel is from one-versus-one to many-verse-many gradually.In this paper a kind of three-versus-two stochastic duel model is studied by the state probabilities analysis technique and the backward recurrence time technique.A have three weapons and B have two initially.The formulas of the winning probabilities for both sides in concentrated firing are derived.They are applicable to general distribution.And the formulas include the interkilling time density and complementary distribution functions mainly.As an application,computations are made for the specific case of exponential interfering time.