复杂作战环境的马尔科夫转移表征及武器装备作战效能计算  

Markov Transfer Representation in Complex Operational Environments and the Calculation of the Operational Effectiveness for Weapon Equipment

作　　者：刘力维[1] 李建军[1] 李林红 徐韦 LIU Li-wei;LI Jian-jun;LI Lin-hong;XU Wei(School of Science,Nanjing University of Science and Technology,Nanjing 210094,China)

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》2021年第12期190-197,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61773014)。

摘　　要：未来作战将面对极其复杂的作战环境.研究复杂作战环境对作战行为与效果的影响,寻求有效对策,对于取得未来作战的胜利,具有重要的理论和现实意义.论文研究复杂作战环境的马尔科夫转移表征及武器装备作战效能的计算.通过把复杂作战环境随连续时间的变化规律进行"降级"处理,认为在一段随机时间长度内作战环境保持不变,之后随机转移到另一作战环境,并把一个复杂作战环境划分成若干个等级,基于马尔科夫转移理论与Q过程理论,运用Q矩阵刻画与表征了复杂作战环境的概率变化规律;研究多个复杂作战环境相互转移下,武器装备"综合"作战效能评估问题,基于交错更新过程理论,导出了作战效能计算公式.The future battles will face extremely complex operational environments.Researching complex operational environments on the effects of combat behavior and seeking effective countermeasures,for future victories,has important theoretical and realistic significance.This paper is researching on Markov transfer representation and calculating the operational effectiveness for weapon equipment in complex operational environments.By taking the complex operational environments,which are changing with continuous time,to downgrade to remain unchanged during a random time duration in a certain operational environment,then,transforming to another operational environment,and dividing a complex operational environment into several levels,we give the characterization and representation of the transformation law for the complex battle environments by applying Qmatrix based on Markov transfer theory and Q process theory.The problem of the composite operational effectiveness of weapon equipment in several mutual transferable complex operational environments is studied,and the computing formula for the operational effectiveness is derived based on the theory of Alternate Renewal Processes.

关 键 词：军事技术运筹学 复杂作战环境 马尔科夫转移表征 作战效能 

分 类 号：E920.8[军事—军事装备学]