广义逆高斯过程的步进应力加速退化试验设计

摘要/Abstract

摘要：

对于高可靠性、长寿命产品的寿命估计问题，步进应力加速退化试验是一种经济快捷有效的方法.为了解决步进应力加速退化试验中样本量、测量时间间隔和各应力下测量次数的配置问题，建立描述产品性能退化轨迹的广义逆高斯过程，采用改进的蒙特卡洛模拟方法估计模型的参数.给出产品分位寿命渐近方差的表达式，并以其最小化为目标，在试验总费用、试验样本量和试验时间的限制下，探讨步进应力退化试验的优化配置.最后通过实例，验证了模型和方法的正确性和实用性.

关键词: , 广义逆高斯过程, 步进应力, 加速退化试验, 优化配置

Abstract:

For assessing the lifetime of highly reliable and long lifetime products, the stepstress accelerated degradation test is an economical, quick and useful tool. To handle the problem of settings of sample size, measurement frequency and number of measurements for stepstress accelerated degradation test, a generalized inverse Gaussian process was used to describe the degradation path. A modified Monte Carlo method was applied to obtain the estimation of the parameters. Under the constraint about the total experimental budget, sample size and termination time, the optimal configuration for stepstress accelerated degradation test was determined by minimizing the asymptotic variance of the estimated quantile of the lifetime distribution of the product. Finally, an example was given to illustrate the proposed model and method.

Key words: inverse Gaussian process, stepstress, accelerated degradation test, optimal configuration

中图分类号:

TP 202.1

李烁，陈震，潘尔顺. 广义逆高斯过程的步进应力加速退化试验设计[J]. 上海交通大学学报（自然版）, 2017, 51(2): 186-.

LI Shuo,CHEN Zhen,PAN Ershun. StepStress Accelerated Degradation Test Plan for Generalized Inverse Gaussian Process[J]. Journal of Shanghai Jiaotong University, 2017, 51(2): 186-.

参考文献

［1］潘尔顺, 陈震. 高可靠性产品退化建模研究综述［J］. 工业工程与管理, 2015, 20(6): 1-6.
PAN Ershun, CHEN Zhen. Review of degradation model for high reliability products［J］. Industrial Engineering and Management, 2015, 20(6): 1-6.
［2］PARK C, PADGETT W J. Accelerated degradation models for failure based on geometric Brownian motion and Gamma processes［J］. Lifetime Data Analysis, 2005, 11(4): 511-527.
［3］PENG C Y, TSENG S T. Progressivestress accelerated degradation test for highlyreliable products［J］. IEEE Transactions on Reliability, 2010, 59(1): 30-37.
［4］LIM H, YUM B J. Optimal design of accelerated degradation tests based on Wiener process models［J］. Journal of Applied Statistics, 2011, 38(2): 309-325.
［5］HU C H, LEE M Y, TANG J. Optimum stepstress accelerated degradation test for Wiener degradation process under constraints［J］. European Journal of Operational Research, 2015, 241(2): 412-421.
［6］王浩伟, 徐廷学, 周伟. 综合退化数据与寿命数据的某型电连接器寿命预测方法［J］. 上海交通大学学报, 2014, 48(5): 702-706.
WANG Haowei, XU Tingxue, ZHOU Wei. Lifetime prediction method for missile electrical connector synthesizing degradation data and lifetime data［J］. Journal of Shanghai Jiao Tong University, 2014, 48(5): 702-706.
［7］TSENG S T, WEN Z C. Stepstress accelerated degradation analysis for highly reliable products［J］. Journal of Quality Technology, 2000, 32(3): 209-216.
［8］LIAO C M, TSENG S T. Optimal design for stepstress accelerated degradation tests［J］. IEEE Transactions on Reliability, 2006, 55(1): 59-66.
［9］TSENG S T, BALAKRISHNAN N, TSAI C C. Optimal stepstress accelerated degradation test plan for Gamma degradation processes［J］. IEEE Transactions on Reliability, 2009, 58(4): 611-618.
［10］YE Z S, WANG Y, TSUI K L, et al. Degradation data analysis using Wiener processes with measurement errors［J］. IEEE Transactions on Reliability, 2013, 62(4): 772-780.
［11］鄢伟安. 鱼雷贮存可靠性分析方法研究［D］. 西安:西北工业大学研究生院, 2014.
［12］WANG X, XU D. An inverse Gaussian process model for degradation data［J］. Technometrics, 2010, 52(2): 188-197.
［13］YE Z S, CHEN L P, TANG L C, et al. Accelerated degradation test planning using the inverse Gaussian process［J］. IEEE Transactions on Reliability, 2014, 63(3): 750-763.
［14］YE Z S, CHEN N. The inverse Gaussian process as a degradation model［J］. Technometrics, 2014, 56(3): 302-311.
［15］YANG G. Life cycle reliability engineering［M］. Hoboken, NJ: Wiley, 2007.

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