| 引用本文: | 蔡怀平,刘靖旭,陈英武.动态武器目标分配问题的马尔可夫性.[J].国防科技大学学报,2006,28(3):124-127.[点击复制] |
| CAI Huaiping,LIU Jingxu,CHEN Yingwu.On the Markov Characteristic of Dynamic Weapon Target Assignment Problem[J].Journal of National University of Defense Technology,2006,28(3):124-127[点击复制] |
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| 动态武器目标分配问题的马尔可夫性 |
| 蔡怀平, 刘靖旭, 陈英武 |
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(国防科技大学 信息系统与管理学院，湖南 长沙 410073)
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| 摘要: |
| 动态武器目标分配(weapon target assignment，WTA)问题是军事运筹学研究的重要理论问题，也是作战指挥决策中迫切需要解决的现实问题。在对动态WTA问题进行描述分析的基础上，运用随机过程理论证明了动态WTA过程的马尔可夫性；给出了该马尔可夫决策过程的状态转移概率的解析表达式，并对其状态特点进行了简要分析。研究结果可以为动态WTA及相关问题的研究提供理论和方法依据。 |
| 关键词: 运筹学 动态武器目标分配 马尔可夫决策过程 数学模型 |
| DOI： |
| 投稿日期：2005-12-22 |
| 基金项目:国家部委资助项目 |
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| On the Markov Characteristic of Dynamic Weapon Target Assignment Problem |
| CAI Huaiping, LIU Jingxu, CHEN Yingwu |
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(College of Information System and Management，National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Dynamic weapon target assignment (WTA) is an important theoretical problem for military operation research and a challenging practical concern in the process of combat command. Based on the description and analysis of dynamic WTA problem, the Markov characteristic of the WTA problem was proved with stochastic theory, and the transition possibility matrix of the Markov decision process was also presented. Meanwhile, the characteristic of the transition probability matrix was analyzed. The result of the research sheds light on the study on the WTA problem in theory and method. |
| Keywords: operations research dynamic weapon target assignment Markov decision process mathematical model |
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