| 基于Copula函数的系统可靠性冗余优化 |
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| 引用本文： | 赵志草,宋保维,赵晓哲,冯建伟. 基于Copula函数的系统可靠性冗余优化[J]. 系统工程理论与实践, 2014, 34(8): 2149-2153. DOI: 10.12011/1000-6788(2014)8-2149 |
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| 作者姓名： | 赵志草 宋保维 赵晓哲 冯建伟 |
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| 作者单位： | 1. 西北工业大学 航海学院, 西安 710072;2. 海军大连舰艇学院 训练部, 大连 116018;3. 武警工程大学 装备工程学院, 西安710086 |
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| 基金项目： | 高等学校博士学科点专项科研基金(20116102110009) |
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| 摘 要： | 针对系统可靠性冗余优化设计中冗余部件间可靠性的相关性经常被忽略而导致优化结果与工程实际有差距的问题，利用Copula连接函数中的Gumbel Copula函数来描述这些相关性，并根据相关性对冗余优化模型进行了改进. 针对模型的求解方法，选用GAG1启发式算法，并根据Gumbel Copula函数对其中的敏感因子进行了修正. 算例结果表明了改进方法的全面性、可行性.
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| 关 键 词： | 可靠性冗余优化 相关性 GumbelCopula函数 算法 敏感因子 |
| 收稿时间： | 2012-10-15 |
Redundancy optimization of system reliability based on Copula function |
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| ZHAO Zhi-cao,SONG Bao-wei,ZHAO Xiao-zhe,FENG Jian-wei. Redundancy optimization of system reliability based on Copula function[J]. Systems Engineering —Theory & Practice, 2014, 34(8): 2149-2153. DOI: 10.12011/1000-6788(2014)8-2149 |
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| Authors: | ZHAO Zhi-cao SONG Bao-wei ZHAO Xiao-zhe FENG Jian-wei |
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| Affiliation: | 1. School of Marine Engineering, Northwestern Polytechnical University, Xi'an 710072, China;2. Department of Training, Dalian Naval Academy, Dalian 116018, China;3. College of Equipment Engineering, Engineering University of Chinese People's Armed Police Force, Xi'an 710086, China |
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| Abstract: | Aiming at the correlation among redundant components in optimization of system reliability redundancy, this paper makes use of Gumbel Copula function to describe this correlation and then the redundancy optimization model is improved. To solve the improved model, this paper uses the GAG1 heuristic algorithm. The sensitivity factor of this algorithm is corrected according to Gumbel Copula function. Finally, the numerical example indicates the feasibility, validity and practicality of this method. |
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| Keywords: | reliability redundancy optimization correlation Gumbel Copula function algorithm sensitivity factor |
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