| 引用本文: | 张骁雄,葛冰峰,谭跃进.军事攻防中的多属性资源分配对策模型.[J].国防科技大学学报,2018,40(5):153-160.[点击复制] |
| ZHANG Xiaoxiong,GE Bingfeng,TAN Yuejin.Multi-attribute game theoretic model for resource allocation in military attack-defense application[J].Journal of National University of Defense Technology,2018,40(5):153-160[点击复制] |
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| 军事攻防中的多属性资源分配对策模型 |
| 张骁雄1,2, 葛冰峰1, 谭跃进1 |
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(1. 国防科技大学 系统工程学院， 湖南 长沙 410073;2. 国防科技大学 第六十三研究所， 江苏 南京 210007)
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| 摘要: |
| 针对资源受限情形下的两阶段攻防资源分配问题，提出一种基于多属性决策的资源分配对策模型。防守者首先将有限的防护资源分配到不同的目标上，继而进攻者选择一种威胁组合方式对目标实施打击。基于博弈论相关知识，模型的求解结果可以使防守者最小化自身损失，使进攻者最大化进攻收益。同时，针对模型的特点，给出了一些推论和证明。通过一个示例验证了模型的合理性以及相关推论的准确性，能够为攻、防双方规划决策提供辅助支持。 |
| 关键词: 资源分配 多属性决策 对策模型 博弈论 |
| DOI：10.11887/j.cn.201805023 |
| 投稿日期：2017-08-25 |
| 基金项目:国家自然科学基金资助项目（71690233,71571185,71501182） |
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| Multi-attribute game theoretic model for resource allocation in military attack-defense application |
| ZHANG Xiaoxiong1,2, GE Bingfeng1, TAN Yuejin1 |
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(1. College of Systems Engineering, National University of Defense Technology, Changsha 410073, China;2. The 63rd Research Institute, National University of Defense Technology, Nanjing 210007, China)
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| Abstract: |
| A multi-attribute game theoretic model was proposed to address a two-stage attack-defense resource allocation problem. That is, under limited resources, the defender first allocates different types of safeguard measures among possible targets, against which the attacker chooses a combination of threats and targets to attack. The proposed model, using game theory, was used to determine the optimal resource allocation for both the defender and attacker. The results can minimize the loss for the defender while maximizing the utility for the attacker. In addition, some lemmas were given on the basis of the particularities of this solving model. An illustrative example was studied to verify the feasibility of the proposed model and the accuracy of the lemmas, which can provide decision support for the resource allocation process. |
| Keywords: resource allocation multi-attribute decision making game theoretic model game theory |
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