固体力学与飞行器总体设计

基于优化SPOT和D-S证据理论的测试性验证方案

  • 王康 ,
  • 史贤俊 ,
  • 周绍磊 ,
  • 龙玉峰 ,
  • 孙美美
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  • 海军航空大学, 烟台 264001

收稿日期: 2019-04-04

  修回日期: 2019-05-17

  网络出版日期: 2019-06-06

基金资助

国家自然科学基金(61473306)

Testability verification scheme based on optimized SPOT and D-S evidence theory

  • WANG Kang ,
  • SHI Xianjun ,
  • ZHOU Shaolei ,
  • LONG Yufeng ,
  • SUN Meimei
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  • Naval Aeronautical University, Yantai 264001, China

Received date: 2019-04-04

  Revised date: 2019-05-17

  Online published: 2019-06-06

Supported by

National Natural Science Foundation of China (61473306)

摘要

针对现有基于序贯验后加权检验的测试性验证方案对测试性设计指标之间的模糊参数空间考虑不足,以及未能充分运用测试性多源先验信息的问题,提出一种优化序贯验后加权检验和D-S证据理论相结合的测试性验证方案。首先,考虑测试性设计指标之间的模糊参数空间,构建三参数空间复杂假设,并基于Bayes理论研究序贯决策规则,同时确定决策因子以及决策阈值;其次,以测试性指标构成的参数空间为辨识框架,分别构造基于专家信息以及测试性试验数据等先验信息的基本信任分配函数,建立融合多源先验信息的优化序贯验证方案;最后,结合实例进行研究,并与经典验证方案、传统Bayes验证方案、序贯概率比检验方案以及序贯验后加权检验方案进行了对比分析。结果表明,该方案由于考虑了模糊参数空间以及充分融合了多源先验信息,有效解决了模糊参数空间的处理问题,同时所确定的平均故障样本量在决策支持的参数空间均优于其他方法。

本文引用格式

王康 , 史贤俊 , 周绍磊 , 龙玉峰 , 孙美美 . 基于优化SPOT和D-S证据理论的测试性验证方案[J]. 航空学报, 2019 , 40(11) : 223064 -223064 . DOI: 10.7527/S1000-6893.2019.23064

Abstract

The existing testability verification scheme, which is based on the sequential posterior odds test, has insufficient consideration of the fuzzy parameter space between the testability design indicators, and it fails to make full use of the testability multi-source prior information. So a testability verification scheme based on the optimized sequential posterior odds test and D-S evidence theory is proposed. Firstly, when the fuzzy parameter space between testability design indicators is taken into consideration, a three-parameter space complex hypothesis is constructed. At the same time, the decision rules of the hypothesis test, decision factors and thresholds are proposed based on Bayes theory. Secondly, the parameter space composed of testability indicators is used as the identification framework, and the basic trust distribution functions based on multi-source prior information, such as expert information and testability data are constructed. Meanwhile, an optimized sequential verification scheme that integrates multi-source prior information is established. Finally, the research is carried out with examples, and the empirical results are compared with the classic verification scheme, the traditional Bayes verification scheme, the sequential probably rate test scheme, and the sequential posterior odds test scheme. The results show that the proposed scheme considers the fuzzy parameter space and fully integrates multi-source prior information, so it can effectively solve the problem of processing fuzzy parameter space, and the average fault sample size determined is better than other schemes in the parameter space of decision support.

参考文献

[1] 满军. 基于Bayes小子样理论的多源信息融合方法研究[D]. 长沙:国防科技大学, 2005:1-11. MAN J. Research on multi-source information fusion method based on Bayes small sample theory[D]. Changsha:National University of Defense Technology, 2005:1-11(in Chinese).
[2] 邓露, 许爱强, 席靓, 等. 基于多源信息加权融合的研制阶段测试性评估方法[J]. 计算机测量与控制, 2014, 22(8):2508-2511. DENG L, XU A Q, XI L, et al. Testability evaluation method based on multi-source information weighted fusion in development phase[J]. Computer Measurement & Control, 2014, 22(8):2508-2511(in Chinese).
[3] 邢云燕, 武小悦. 可靠性增长下的Bayes序贯检验方法[J]. 航空动力学报, 2010, 25(10):2201-2205. XING Y Y, WU X Y. Bayesian sequential testing in reliability growth case[J]. Journal of Aerospace Power, 2010, 25(10):2201-2205(in Chinese).
[4] 徐廷学, 刘勇, 赵建忠, 等. 维修性先验信息的融合方法[J]. 系统工程与电子技术, 2014, 36(9):1887-1892. XU T X, LIU Y, ZHAO J Z, et al. Fusion method of prior maintainability information[J]. System Engineering and Electronics, 2014, 36(9):1887-1892(in Chinese).
[5] 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).
[6] 雷华军, 秦开宇. 确定测试性验证试验方案的贝叶斯方法[J]. 系统工程与电子技术, 2012, 34(12):2612-2616. LEI H J, QIN K Y. Bayesian method for determination of testability demonstration test scheme[J]. System Engineering and Electronics, 2012, 34(12):2612-2616(in Chinese).
[7] 马涛, 鞠成玉. 基于Bayes理论的测试性数据融合评估技术[J]. 火力与指挥控制, 2017, 42(8):183-185. MA T, JU C Y. A data gusion method for testability evaluation based on Bayes theory[J]. Firre Control & Command Control, 2017, 42(8):183-185(in Chinese).
[8] 刘琦, 王囡. 基于验后概率的Bayesian序贯方差检验技术(Ⅰ)[J]. 航空动力学报, 2011, 26(7):1531-1536. LIU Q, WANG N. Bayesian sequential variance test technique based on posterior probability (Ⅰ)[J]. Journal of Aerospace Power, 2011, 26(7):1531-1536(in Chinese).
[9] LI J, SHEN L, ZHAO L. Success ratio sequential test plan using development test data[C]//IEEE 20098th International Conference on Reliability, Maintainability and Safety. Piscataway, NJ:IEEE Press, 2009:370-373.
[10] 金振中. 二项分布的Bayes截尾序贯检验方法及其应用[J]. 战术导弹技术, 1996(1):21-27. JIN Z Z. Bayes cutting sequential test method of binomial distribution and its application[J]. Tactical Missile Technology, 1996(1):21-27(in Chinese).
[11] 张金槐. 利用验前信息的一种序贯检验方法-序贯验后加权检验方法[J]. 国防科技大学学报, 1991(2):1-13. ZHANG J H. A sequential testing method with prior information-sequential posterior weighted testing method (SPOT method)[J]. Journal of National University of Defense Technology, 1991(2):1-13(in Chinese).
[12] WANG C, QIU J, LIU G, et al. Testability demonstration test planning based on sequential posterior odds test method[J]. Proceedings of the Institution of Mechanical Engineers, Part O:Journal of Risk and Reliability, 2013,228(2):189-199.
[13] 王雪峥. 二项分布下的MSPOT方法研究[J]. 遥测遥控, 2015(6):70-75. WANG X Z. Research on multi3hypothesis sequential posterior odd test for binomial distribution.[J]. Journal of Telemetry, Tracking and Command, 2015(6):70-75(in Chinese).
[14] BAUM C W, VEERAVALLI V V. A sequential procedure for multihypothesis testing[J]. IEEE Transactions on Information Theory, 1994, 40(6):1994-2007.
[15] 刘琦, 王囡, 唐旻. 成败型产品基于验后概率的Bayes序贯检验技术[J]. 航空动力学报, 2013, 28(3):494-500. LIU Q, WANG N, TANG M. Bayes sequential test technique for binomial product based on posterior probability[J]. Journal of Aerospace Power, 2013, 28(3):494-500(in Chinese).
[16] LI X R, LI X B. Common fallacies in applying hypothesis testing[C]//Proceedings of the 11th International Conference on Information Fusion. Piscataway, NJ:IEEE Press, 2008:1-8.
[17] 孙锐. 基于D-S证据理论的信息融合及在可靠性数据处理中的应用研究[D]. 成都:电子科技大学, 2012:17-62. SUN R. Researche on D-S evidence theory based information fusion and its application in reliability data processing[D]. Chengdu:University of Electronic Science and Technology of China, 2012:17-62(in Chinese).
[18] 王京, 李天梅, 何华锋, 等. 多源测试性综合评估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 Armanmentarii, 2017, 38(1):151-159(in Chinese).
[19] HART L. Reliability of modified designs:A Bayes analysis of an accelerated test of electronic assemblies[J]. IEEE Transactions on Reliability, 1990, 39(2):140-144.
[20] 徐林生, 王执铨, 戴跃伟. 评审专家可信度评价模型及应用[J]. 南京理工大学学报(自然科学版), 2010, 34(1):30-34. XU L S, WANG Z Q, DAI Y W. Expert's credibility model and evaluation method[J]. Journal of Nanjing University of Science and Technology(Natural Science), 2010, 34(1):30-34(in Chinese).
[21] 徐忠伟, 周玉芬, 徐松涛, 等. 测试性验证中抽样方案的精确算法及应用[J]. 航空学报, 2000, 21(1):68-70. XU Z W, ZHOU Y F, XU S T, et al. Accurate algorithm of sampling plan & its application in testability demonstration[J]. Acta Aeronautica et Astronautica Sinica, 2000,21(1):68-70(in Chinese).
[22] 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, YANG P C, et al. Method of confirming testability verification test scheme based on prior information[J]. Journal of Beijing University of Aeronautic and Astronautic, 2015, 41(8):1505-1512(in Chinese).
[23] 余闯, 王晓红, 李秋茜. 计数型序贯截尾试验方案的计算与选择[J]. 北京航空航天大学学报, 2014, 40(4):575-578. YU C, WANG X H, LI Q Q. Calculation and selection of sequentially truncated test scheme[J]. Journal of Beijing University of Aeronautic and Astronautic, 2014, 40(4):575-578(in Chinese).
[24] 王超. 虚实结合的测试性试验与综合评估技术[D]. 长沙:国防科技大学, 2014:56-80. WANG C. Testability test and integrated evaluation technology with virtual-physical test[D]. Changsha:National University of Defense Technology, 2014:56-80(in Chinese).
[25] WALD A. Sequential tests of statistical hypotheses[J]. Annals of Mathematical Statistics, 1945, 16(2):117-186.
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