Study on Winning Probabilities of Two-versus-Two Stochastic Duel with Searching

摘要：

The stochastic duel theory comes from applying stochastic process to Lancbester equation. The stochastic duel with searching is a kind of duel, not less than one of whose two contestants are stealthily. When on the assumption that the time intervals of two contestants is the same negative exponential distribution(NED), the stochastic duel is a Markov process which is continuous in time and discrete in states. The winning probability formulas of two-versus-two stochastic duel with searching are deduced using state transfer figure and the property of Laplace transformation.Finally the simulations and calculations are done in a true combat environment. The results of the winning probabilities formulas are exact probabilistic solutions, which can be used to quantificationally evaluate operation efficiency of more realistic small-to-moderate-size firefight models.

关键词： stochastic duel with searching Markov process winning probability state transfer figure

作者: Nie Kai Liu Zhong

作者单位: College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China

会议类型: 国际会议

会议名称: The Seventh International Symposium(ISORA08)(第七届国际效力研究及其应用学术会议)

会议地点: 云南丽江

会议语种:英文

页码: 91-97

在线出版日期: 2008-10-31（万方平台首次上网日期，不代表论文的发表时间）