基于未确知数学的防御兵力部署优化模型  

The Force Deployment Optimization Model Based on Unascertained Mathematics

作　　者：陈建莉[1] 

机构地区：[1]武警工程大学理学院,西安710086

出　　处：《武警工程大学学报》2016年第2期1-4,共4页Journal of Engineering University of the Chinese People＇s Armed Police Force

基　　金：陕西省自然科学基金项目“基于未确知数学的决策模型及应用”（2013JM1018）

摘　　要：通过引入兵力部署的对策集和对策未确知数，事件集和事件未确知数的概念，利用未确知数学的方法对兵力部署问题进行了研究。定义了兵力部署的局势集及局势的未确知条件密度矩阵、未确知测度矩阵和密度型未确知数学期望，并给出了决定兵力布局的未确知参数。利用最大密度型数学期望得到多目标兵力部署的最优数学模型，对模型的系数进行分析讨论并且给出两种计算方法，由此克服了以往用确定性思想研究兵力部署的局限性，为决策者提供了较为实际的理论依据。The problem of force deployment using the unascertained mathematics method is studied; the countermeasures, and countermeasures unascertained number, incident set and incident unascertained number of the force deployment is introduced. The situation set, the unascertained situation density matrix,the unascertained measurement matrix and the densi- ty Unascertained mathematics expectation of the force deployment is defined. The Unascer- rained parameter of the force distribution is given. Using the maximum density mathematics expectation, can the optimal mathematics model of multi target force deployment. The coeffi- cient of the model is discussed and two calculation methods are given. The model overcome the limitation of the usual force deployment method, and provides the theoretical basis for decision makers.

关 键 词：兵力部署 未确知数 数学期望 优化模型 

分 类 号：O221[理学—运筹学与控制论]