成败型产品的Bayes可靠性验证试验设计

冯文哲; 刘琦

成败型产品的Bayes可靠性验证试验设计

冯文哲,
刘琦

国防科学技术大学信息系统与管理学院,长沙 410073

基金项目: 国家自然科学基金(70971133); 高等学校博士学科点专项科研基金(70571083)

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出版历程
- 收稿日期: 2011-03-24
- 修回日期: 2011-07-18
- 刊出日期: 2012-01-28

Bayesian reliability demonstration test design for binomial distributed product

College of Information Systems and Management, National University of Defense Technology, Changsha 410073, China

摘要

摘要: 分析了成败型产品的可靠性统计验证试验设计的需求、约束条件.对成败型产品成功概率的假设检验,综合考虑弃真和采伪的风险损失以及可靠性试验的成本,建立了基于试验损失的可靠性试验设计模型(RTDMTL).由Bayes方法,对于给定的样本量,运用0-1损失函数,按照验后期望损失最小的原则,推导出了最大可接受数的计算方法.根据平均风险准则,给出了弃真和采伪两类风险的计算公式.对于RTDMTL的求解,给出了基于Matlab软件的最优试验方案数值算法的求解步骤.最后通过示例验证了该方法的有效性.
- 航空航天 /
- 可靠性试验设计 /
- Bayes方法 /
- 平均风险 /
- 试验损失
Abstract: The requirements and constraint conditions of reliability statistical demonstration test design for binomial distributed product were analyzed.Considering the producer's risk and consumer's risk,reliability test cost,the reliability test design model based on test loss (RTDMTL) was constructed for the reliability test design of binomial distributed product.To given sample size,according to 0-1 loss function,the acceptable maximum failure number calculation method was presented under the principle of minimize the posterior expect loss.According to average risk criteria,the formulas of producer's risk and consumer's risk were deduced.To the solution of RTDMTL,the steps of optimum test plan calculating numeric algorithm were given by Matlab software.At last,an example was given to show the validity of the proposed method.
- aerospace /
- reliability test design /
- bayes method /
- average risk /
- test loss

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参考文献(15)

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