武器装备体系贡献率评估灰色Shapley值模型
On Grey Shapley Value Model for Evaluating the Contribution Rate of Weapon Equipment System
陶良彦 1王丽 1齐晓霞 1陈顶 2刘思峰1
作者信息
- 1. 南京航空航天大学经济与管理学院,江苏 南京 211106
- 2. 上海机电工程研究所,上海 201109
- 折叠
摘要
针对现有体系贡献率评估忽略装备间涌现效应这一问题,本文设计了合作博弈视角的体系贡献率评估框架.首先,将装备视为合作博弈的参与方,并组成合作博弈中的不同联盟;进而考虑体系效能评估过程复杂性、信息不确定等特征,采用区间灰数表征相关参数,设计了灰色ADC模型,测算各联盟的特征函数.在此基础上,根据装备对体系效能的边际贡献,构建了灰色Shapley值模型并给出计算公式,从而将效能公平、合理地分配给各装备,测算出各自体系贡献率.最后,以某防空导弹武器装备系统的体系贡献率计算为例说明了所提方法的有效性.
Abstract
Aiming at the problem that the existing system contribution rate evaluation method,i.e.,"With or without"comparison method,ignores the emergence effect between equipment,a system effectiveness contribution rate evaluation framework from the perspective of a cooperative game is proposed in this work.First,equipment is regarded as participants in the cooperative game and forms different alliances of a coopera-tive game;then,considering the complexity of the system effectiveness evaluation process,the uncertain information and other characteristics,the interval grey number is used to characterize the relevant parameters,and the grey ADC model is designed to measure the characteristic function of each alliance;on this basis,a grey Shapley value model is constructed and the calculation formula is given according to the marginal contribution of equipment to the overall system efficiency so that the efficiency can be fairly and reasonably allocated to each equipment,and their respective contribution rates are calculated.Finally,the calculation of the system contribu-tion rate of a certain air defense missile weapon system is taken as an example to illustrate the effectiveness of the proposed method.
关键词
体系贡献度评估/灰色Shapley值模型/ADC模型/区间灰数Key words
system contribution rate evaluation/grey Shapley model/ADC model/interval grey number引用本文复制引用
基金项目
国家自然科学基金(71801127)
国家自然科学基金(71671091)
国家自然科学基金(72271124)
中国博士后科学基金特别资助项目(2019TQ0150)
出版年
2024
NETL
NSTL
万方数据