与发现时间有关时毁伤目标时间的密度函数

本文考虑的是 Williams T与 Ancker C J Jr在文献1]中提出的著名的基本型随机格斗模型.该模型需先建立格斗双方有一方是被动目标时毁伤该目标所需时间的密度函数.但导出的毁伤时间密度函数没有考虑发现目标时间这一因素,而更确切的实际模型可改为先要搜索目标.本文正是在考虑这一因素条件下,导出了毁伤对方目标所需时间的密度函数及获胜概率,并计算了几个实例,并把文献1]所导出的结论归纳成本文的一个特例.

DENSITY FUNCTION OF THE TIME FOR TARGET KILLING INVOLVING THE TARGET DETECTION TIME

This paper considers the famous model for elementary stochastic duels put forward by Williams T and Ancker C J Jr in reference 1. For the given model it is a requisite first to deduce the probability density function of the time needed to kill a target under the condition that one side involved in the duel is a passive target. But the factor concerning the time required to detect the target is not considered in deducing the density function, thus a more practical model would be to alter it so as to search for the target first. The paper considers this factor and deduces the density function of the time needed for killing the target and the winning probability. Several cases are calculated, considering the conclusions induced in reference 1 as a special case.