一种改进的二次抽样检验使用方风险公式
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摘要
针对现行抽样检验方案的诸多弊端,对经典抽样检验的使用方风险进行改进。依据弹药产品交验新抽样检验的原则,借鉴MIL-STD-1916的思想,提出基于合格质量水平为标准的抽样风险形式,在二次抽样方案(0,2;1,2)型的条件下,修正并推导了使用方风险公式,对经典统计和修正后的风险公式进行了讨论和分析。计算结果表明:对于可靠性水平较高的产品,修正使用方风险公式更符合实际情况,且有利于减小样本量。
In the view of shortcomings in the current sampling inspection schemes, the consumer's risk of the classical sampling inspection is improved. According to the principle of the new sampling inspection of ammunition products and the idea of MIL-STD-1916, sampling risks based on the qualified quality level are proposed. The formula of posterior risk of consumer was modified and derived under the condition of secondary sampling scheme and receiving criterion(0,2;1,2).The classical statistics and modified formula of risks is discussed and analyzed. The calculation results show that modified consumer risk is more in line with the actual situation and is beneficial to reduce sample size when the reliability level of the product is high.
In the view of shortcomings in the current sampling inspection schemes, the consumer's risk of the classical sampling inspection is improved. According to the principle of the new sampling inspection of ammunition products and the idea of MIL-STD-1916, sampling risks based on the qualified quality level are proposed. The formula of posterior risk of consumer was modified and derived under the condition of secondary sampling scheme and receiving criterion(0,2;1,2).The classical statistics and modified formula of risks is discussed and analyzed. The calculation results show that modified consumer risk is more in line with the actual situation and is beneficial to reduce sample size when the reliability level of the product is high.
引文
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[2]高文尧.Bayes方法的可靠性验证试验的风险及选取[J].质量与可靠性,1996(1):22-25.
[3]张玉柱,曹世民,朱建华,等.GJBl79A-1996计数抽样检验程序及表[S].北京:总后勤部军械保障部,1996.
[4]姬志杰,任建勇,武建斌.在产品验收规范中引用GJB179A-1996应注意的几个问题[J].国防技术基础,2017(4):3-6
[5]王玮,王军波,黄景德.一个可靠性二次抽样方案的分析及改进[J].兵工学报,2006,27(2):360-362.
[6]梁明,时继庆,马艳.二次抽样检验在海军战术导弹批检中的应用研究[J].战术导弹技术,2002(6):35-40.
[7]姜礼平,张志华.成败型产品成功率鉴定试验的一种Bayes方法[J].工程数学学报,2000,17(4):25-29.
[8]Department of Defense of U.S.MIL-STD-1916.DoDPreferred Methods For Acceptance of Product[S].Washington D.C.:U S.Government Printing Office,1996.
[9]张士军,张玉柱.MIL-STD-1916及其对我军统计抽样检验标准化的影响[J].装备指挥技术学院学报,2004,15(6):1-4.
[10]TSAI T R,CHIANG J Y,LIANG T C,et al.Efficient Bayesian sampling plans for exponential distributions with type-I-censored samples[J].Journal of Statistical Computation&Simulation,2014,84(5):964-981.
[11]CHEN L,YANG M,LIANG T C.Bayesian sampling plans for exponential distributions with interval censored samples[J].Naval Research Logistics,2016,62(7):604-616.
[12]BRUSH G G.A Comparison of Classical and Bayes Producer’s Risk[J].Technometrics,1986,28(1):69-72.
[13]YOUNG H C,DAN B R.Three Types of Producer’s and Consumer’s Risks in the Single Sampling Plan[J].Journal of Quality Technology,1998,30(3):254-267.