Bayesian Acceptance Test Scheme for Reliability of Binomial Products

doi:10.3969/j.issn.1000-1093.2016.03.025

Abstract

Abstract: For the acceptance test of binominal products in the production definition phase, an information transition model for type approval phase and batch production phase is established using competition-failure method in order to properly use the prior information of the type approval phase. The prior distribution of batch products’ reliability is presented. On this basis, the calculation method of posterior distribution and risk is given, and a Bayesian acceptance test scheme is proposed. The experimental results show that the proposed method can be used to enormously reduce the acceptance test, and has preferable stability.

Key words: mathematical statistics, reliability, acceptance test, Bayesian method, binominal product, batch production

CLC Number:

O213.2

LIU Hai-tao, ZHANG Zhi-hua, DONG Li. Bayesian Acceptance Test Scheme for Reliability of Binomial Products[J]. Acta Armamentarii, 2016, 37(3): 565-569.

References

［1］张志华, 田艳梅, 郭尚峰. 指数型产品可靠性验收试验方案研究[J]. 系统工程与电子技术, 2005, 27(4): 753-756.
ZHANG Zhi-hua, TIAN Yan-mei, GUO Shang-feng. Bayesian scheme of acceptance test in exponential case[J]. Systems Engineering and Electronics,2005, 27(4): 753-756.（in Chinese）
[2] 陈家鼎, 张绡. 关于MIL-HDBK-781中的保证试验[J]. 数理统计与管理, 2000, 19(2): 39-45.
CHEN Jia-ding, ZHANG Xiao. On theassurance tests in MIL-HDBK-781[J]. Application of Statistics and Management, 2000, 19(2): 39-45.（in Chinese）
[3] 洪国钧, 安伟光, 刘玉明. 平均故障时间保证试验风险研究[J]. 中国造船, 2000, 41(1): 73-81.
HONG Guo-jun, AN Wei-guang, LIU yu-ming. Study on MTBF assurance test risks[J]. Shipbuilding of China, 2000, 41(1): 73-81. （in Chinese）
[4] 邢云燕, 武小悦. 成败型系统变总体下的Bayes可靠性试验鉴定方法[J]. 系统工程理论与实践, 2011, 31(2): 323-327.
XING Yun-yan, WU Xiao-yue. Bayesian reliability test evaluation for binomial system in varying population case[J]. Systems Engineering-Theory & Practice, 2011, 31(2): 323-327.（in Chinese）
[5] 刘晗, 郭波. 融合多源验前信息的成败型产品可靠性Bayes评估[J]. 弹箭与制导学报, 2007, 27(2): 338-341.
LIU Han, GUO Bo. Fusion ofinformation of multiple sources in Bayesian assessment for reliability of success or failure product[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2007, 27(2): 338-341.（in Chinese）
[6] 张详坡, 尚建忠, 陈循,等. 三参数Weibull 分布竞争失效场合加速寿命试验统计分析[J]. 兵工学报, 2013, 34(12): 1603-1610.
ZHANG Xiang-po, SHANG Jian-zhong, CHEN Xun, et al. Statistical inference of accelerated life test with competing failures based on three-parameter Weibull distribution[J]. Acta Armamentarii, 2013, 34(12): 1603-1610.（in Chinese）
[7] 张志华. 可靠性理论及工程应用[M]. 北京: 科学出版社, 2012.
ZHANG Zhi-hua.Reliability theory and engineering applications[M]. Beijing: Science Press, 2012.（in Chinese）
[8] 张志华. 可靠性保证试验的风险分析[J]. 兵工学报, 2006, 27(6): 1060-1063.
ZHANG Zhi-hua. Riskanalysis of reliability assurance test in the case of exponential distribution[J]. Acta Armamentarii, 2006, 27(6): 1060-1063.（in Chinese）
[9] 张英芝, 牛序磊, 申桂香,等. 基于竞争失效模式的数控机床可靠性建模[J]. 系统工程理论与实践, 2014, 34(8): 2144-2148.
ZHANG Ying-zhi, NIU Xu-lei, SHEN Gui-xiang, et al. Numerically-controlled machine reliability modeling based on competing failure mode[J]. Systems Engineering-Theory & Practice, 2014, 34(8): 2144-2148. (in Chinese)
[10] 徐志军, 张博, 王凯,等. 基于Beta分布的改进的一次可靠度法研究[J]. 土木工程与管理学报, 2014, 31(3): 17-21.
XU Zhi-jun, ZHANG Bo, WANG Kai, et al. Study of modified first order reliability method based on Beta distribution[J]. Journal of Civil Engineering and Management, 2014, 31(3): 17-21.（in Chinese）

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