面向复杂系统的三维Bayes网络测试性验证模型
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摘要
针对当前武器装备复杂的系统结构,现有基于装备整机系统测试性先验信息的测试性验证方法难以适用,基于分系统测试性先验信息的测试性验证方法不能系统有效地处理先验信息,导致测试性验证结果可信度不高的问题,提出一种面向复杂系统的三维Bayes网络测试性验证模型。该模型能充分运用装备各层级结构中所蕴含的条件独立性,有效降低构建Bayes网络模型的复杂度,同时能融合装备各层级单元的先验信息。通过给出的三维Bayes网络的条件概率学习方法及G/M-H算法,由底层单元数据通过模型逐步向上融合,得到顶层测试性指标的后验分布,进一步利用顶层后验分布求取故障样本量。结果表明:该模型能充分考虑复杂系统的系统结构及各层级单元先验信息,并能通过模型推理得到的指标后验分布达到有效减少测试性验证故障样本量的目的。
In view of the complicated system structure of current weapon equipment,the existing testability verification method based on the testability prior information of the equipment system is difficult to apply,and the testability verification method based on the testability prior information of the subsystem cannot process the prior information effectively,which lead to the low credibility of the testability verification results,so a three-dimensional Bayes network testability verification model for complex systems is proposed. The model can fully utilize the conditional independence contained in the various hierarchical structures of the equipment,effectively reduce the complexity of constructing the Bayesian network model,and at the same time integrate the prior information of each hierarchical unit. Through the given conditional probability learning method and G/M-H algorithm of the three-dimensional Bayes network,the underlying unit data can be integrated through the model to obtain the posterior distribution of the top-level testability indicators,and the top-level posterior distribution is further used to obtain the fault sample size. The results show that the model can fully consider the system structure of the complex system and the prior information of each hierarchical unit,and the posterior distribution of the testability indicators can be used to reduce the fault sample size of testability verification.
In view of the complicated system structure of current weapon equipment,the existing testability verification method based on the testability prior information of the equipment system is difficult to apply,and the testability verification method based on the testability prior information of the subsystem cannot process the prior information effectively,which lead to the low credibility of the testability verification results,so a three-dimensional Bayes network testability verification model for complex systems is proposed. The model can fully utilize the conditional independence contained in the various hierarchical structures of the equipment,effectively reduce the complexity of constructing the Bayesian network model,and at the same time integrate the prior information of each hierarchical unit. Through the given conditional probability learning method and G/M-H algorithm of the three-dimensional Bayes network,the underlying unit data can be integrated through the model to obtain the posterior distribution of the top-level testability indicators,and the top-level posterior distribution is further used to obtain the fault sample size. The results show that the model can fully consider the system structure of the complex system and the prior information of each hierarchical unit,and the posterior distribution of the testability indicators can be used to reduce the fault sample size of testability verification.
引文
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[14]王京,李天梅,何华锋,等.多源测试性综合数据等效折合模型与方法研究[J].兵工学报,2017,38(1):151-159.WANG J,LI T M,HE H F,et al.Research on multi-source data equivalent methods for testability integrated evaluation[J].Acta Armamentarii,2017,38(1):151-159(in Chinese).
[15]刘钰,韩峰,闫凯,等.基于贝叶斯网络的分层系统可靠性分析[J].航空动力学报,2016,31(6):1385-1392.LIU Y,HAN F,YAN K,et al.Reliability analysis of hierarchical systems based on Bayesian network[J].Journal of Aerospace Power,2016,31(6):1385-1392(in Chinese).
[16]王超.虚实结合的测试性试验与综合评估技术[D].长沙:国防科学技术大学,2014.WANG C.Testability test and integrated evaluation technology with virtual-physical test[D].Changsha:National University of Defense Technology,2014(in Chinese).
[2]U.S.Department of Defense.Military standard testability program for electronic systems and equipments:MIL-STD-2165A[S].Washington,D.C.:U.S.Department of Defense,1993.
[3]中国人民解放军总装备部.装备测试性工作通用要求:GJB2547A-2012[S].北京:总装备部军标出版发行部,2012.General Armament of PLA.General requirement for materiel testability program:GJB 2547A-2012[S].Beijing:General Armament Department Military Standards Publication and Distribution Department,2012(in Chinese).
[4]U.S.Department of Defense.Maintainability verification/demonstration/evaluation:MIL-STD-471A-1973[S].Washington,D.C.:U.S.Department of Defense,1973.
[5]石君友,纪超,李海伟.测试性验证技术与应用现状分析[J].测控技术,2012,31(5):29-32.SHI J Y,JI C,LI H W.Analysis of testability verification technology and application status[J].Measurement&Control Technology,2012,31(5):29-32(in Chinese).
[6]田仲,石君友.现有测试性验证方法分析与建议[J].质量与可靠性,2006(2):47-51.TIAN Z,SHI J Y.Analysis and recommendations of existing testability verification methods[J].Quality and Reliablity,2006(2):47-51(in Chinese).
[7]李天梅,邱静,刘冠军.利用研制阶段试验数据制定测试性验证试验方案新方法[J].机械工程学报,2009,45(8):52-57.LI T M,QIU J,LIU G J.New methodology for determining testability integrated test scheme with test data in the development stages[J].Journal of Mechanical Engineering,2009,45(8):52-57(in Chinese).
[8]李天梅,邱静,刘冠军.基于Bayes变动统计理论的测试性外场统计验证方法[J].航空学报,2010,31(2):335-341.LI T M,QIU J,LIU G J.Research on testability field statistics verification based on Bayes inference theory of dynamic population[J].Acta Aeronautica et Astronautica Sinica,2010,31(2):335-341(in Chinese).
[9]邓露,许爱强,李文海,等.基于Bayesian理论的测试性验证试验方案[J].南京理工大学学报(自然科学版),2014,38(6):775-780.DENG L,XU A Q,LI W H,et al.Testability demonstration test scheme based on Bayesian theory[J].Journal of Nanjing University of Science and Technology,2014,38(6):775-780(in Chinese).
[10]王敏,杨江平,卢雷,等.利用分系统数据制定整机测试性验证试验方案[J].现代防御技术,2015,43(5):213-217.WANG M,YANG J P,LU L,et al.Determining testability demonstration test scheme with subsystem data[J].Modern Defence Technology,2015,43(5):213-217(in Chinese).
[11]常春贺,杨江平,胡亮.基于Bayes理论的复杂装备测试性评估方法[J].火力指挥与控制,2012,37(11):173-176.CHANG C H,YANG J P,HU L.Study on testability evaluation method for complex equipment based on Bayes theory[J].Fire Control&Command Control,2012,37(11):173-176(in Chinese).
[12]张西山,黄考利,闫鹏程,等.基于验前信息的测试性验证试验方案确定方法[J].北京航空航天大学学报,2015,41(8):1505-1512.ZHANG X S,HUANG K L,YAN P C,et al.Method of confirming testability verification test scheme based on prior information[J].Journal of Beijing University of Aeronautics and Astronantics,2015,41(8):1505-1512(in Chinese).
[13]郑应荣.系统级层次化测试性建模与分析[D].哈尔滨:哈尔滨工业大学,2014.ZHENG Y R.Testablity modeling and analysis of hierarchical system[D].Harbin:Harbin Institute of Technology,2014(in Chinese).
[14]王京,李天梅,何华锋,等.多源测试性综合数据等效折合模型与方法研究[J].兵工学报,2017,38(1):151-159.WANG J,LI T M,HE H F,et al.Research on multi-source data equivalent methods for testability integrated evaluation[J].Acta Armamentarii,2017,38(1):151-159(in Chinese).
[15]刘钰,韩峰,闫凯,等.基于贝叶斯网络的分层系统可靠性分析[J].航空动力学报,2016,31(6):1385-1392.LIU Y,HAN F,YAN K,et al.Reliability analysis of hierarchical systems based on Bayesian network[J].Journal of Aerospace Power,2016,31(6):1385-1392(in Chinese).
[16]王超.虚实结合的测试性试验与综合评估技术[D].长沙:国防科学技术大学,2014.WANG C.Testability test and integrated evaluation technology with virtual-physical test[D].Changsha:National University of Defense Technology,2014(in Chinese).