基于Gamma过程的加速退化试验多目标优化设计

doi:10.13229/j.cnki.jdxbgxb20211100

Abstract

Abstract:

In order to obtain the relative optimal test configuration considering multiple optimization objectives in the optimization design of accelerated degradation test， a multi-objective optimization design method of constant stress accelerated degradation test is proposed. The accelerated degradation model is established based on gamma process， and the unknown parameters are solved by maximum likelihood estimation method. Considering the model fitting accuracy and life estimation accuracy， a multi-objective optimization model is constructed. The model is solved by NSGA-II， and a Pareto frontier set considering multiple optimization objectives is established. The relative proportion of each objective function in Pareto frontier set is calculated based on the value of single objective optimization objective function. On this basis， the Analytic Hierarchy Process is used to make expert decision on the accelerated degradation test to be carried out， and the weight value of each objective function is obtained. Taking the minimum error between the relative proportion of the objective function and the weight value of the objective function as the evaluation standard， the relatively optimal test configuration in the Pareto front set is selected. Finally， the effectiveness of the proposed method is verified by the accelerated degradation test data of carbon film resistance.

Key words: accelerated degradation test, multi-objective optimization design, Gamma process, analytic hierarchy process

CLC Number:

TB114.3

Li-jie ZHANG,Xi-ta A,Xiao TIAN,Wen LI. Multi⁃objective optimization design of accelerated degradation test based on Gamma process[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(2): 361-367.

Figures/Tables 4

Fig.1

Table 1

CSADT single objective optimization design results"

目标函数	n₁	n₂	n₃	S₁	S₂	S₃	函数值
I（θ）	11	15	4	50	200	119	1.03×10⁸
$A v a r (M T T F ?)$	14	3	13	90	200	91	1.44×10⁹

Table 1

Table 2

Table 3

References 23

1	Hao H, Su C, Li C. LED lighting system reliability modeling and inference via random effects gamma process and copula function[J]. International Journal of Photoenergy, 2015(1): 1-8.
2	张建平, 张蓓. 基于三参数威布尔函数法的光电器件寿命快速评估模型及其应用[J]. 电子元件与材料, 2021, 40(2): 137-143.
	Zhang Jian-ping, Zhang Bei. Rapid life assessment model of optoelectronic devices based on threeparameter weibull function method and its applications[J]. Electronic Components and Materials, 2021, 40(2): 137-143.
3	Sun L, Wang X, Zhang G, et al. Life assessment of organic coating based on accelerated de-gradation test and modeling[C]∥IEEE Interaional Conference on Industrial Engineering and Engineering Management, Singapore, 2015: 1644-1647.
4	Han D, Ng H. Comparison between constant-stress and step-stress accelerated life tests undertime constraint[J]. Naval Research Logistics, 2013, 60(7): 541-556.
5	Ge Z, Li X, Jiang T, et al. Optimal design forstep-stress accelerated degradation testing based on D-optimality[C]∥Reliability & Maintainability Symposium IEEE, Lake Buena Vista, 2011: 1-6.
6	Omshi E M, Shemehsavar S. Optimal design for accelerated degradation test based on D-optimality[J]. Iranian Journal of Science and Technology Transactions A Science, 2019, 43(4): 1811-1818.
7	Hu C, 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.
8	Si S, Zhai G F, Zheng B K, et al. Optimal design of accelerated degradation failure mechanism consistency discriminant test based on d-optimality[C]∥International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering, Harbin, 2019: 967-972.
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	Tsai C, Tseng S, Balakrishnan N. Optimal design for degradation tests based on gamma processes with random effects[J]. IEEE Transactions on Reliability, 2012, 61(2): 604-613.
11	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.
12	Li X, Hu Y, Zhou J, et al. Bayesian step stress accelerated degradation testing design: amulti-objective pareto-optimal approach[J]. Reliability Engineering & System Safety, 2018, 171: 9-17.
13	Wang H, Zhao Y, Ma H B, et al. Optimal design of constant-stress accelerated degradation tests using the M-optimality criterion[J]. Reliability Engineering & System Safety, 2017, 164: 45-54.
14	Wu Z, Liu X, Guo B, et al. Multi-objective optimization design of constant stress accelerated degradation test using inverse gaussian process[J]. IEEE Access, 2019, 7: 28757-28768.
15	Saaty T L. The Analytic Hierarchy Process[M]. New York: McGraw-Hill International, 1980.
16	郑玉彬, 杨斌, 王晓峰, 等. 基于威布尔分布的电主轴加速寿命试验时间设计[J]. 吉林大学学报: 工学版, 2018, 48(3): 767-772.
	Zheng Yu-bin, Yang Bin, Wang Xiao-feng, et al. Reliability evaluation model of tool competitive failure[J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(3): 767-772.
17	李常有, 徐敏强, 郭耸, 等. 基于gamma过程及贝叶斯估计的实时可靠性评估[J]. 宇航学报, 2009, 30(4): 1722-1726.
	Li Chang-you, Xu Min-Qiang, Guo Song, et al. Real time reliability evaluation based on gamma process and bayesian estimation[J]. Journal of Astronautics, 2009, 30(4): 1722-1726.
18	Sun B, Yan M C, Feng Q, et al. Gamma degradation process and accelerated model combined reliability analysis method for rubber O-rings[J]. IEEE Access, 2018, 6: 10581-10590.
19	唐圣金, 郭晓松, 周召发, 等. 步进应力加速退化试验的建模与剩余寿命估计[J]. 机械工程学报, 2014, 50(16): 33-40.
	Tang Sheng-jin, Guo Xiao-song, Zhou Zhao-fa, et al. Modeling and residual life estimation of step stress accelerated degradation test[J]. Journal of Mechanical Engineering, 2014, 50(16): 33-40.
20	Lim H, Yum B J. Optimal design of accelerated degradation tests based on wiener process model[J]. Journal of Applied Statistics, 2011, 38(2): 309-325.
21	李洪洲, 杨兆军, 许彬彬, 等. 数控机床可靠性评估试验周期设计[J]. 吉林大学学报: 工学版, 2016, 46(5): 1520-1527.
	Li Hong-zhou, Yang Zhao-jun, Xu Bin-bin, et al. Design of testing period for reliability assessment of NC machine tools[J]. Journal of Jilin University(Engineering and Technology Edition), 2016, 46(5): 1520-1527.
22	Ng H K T, Balakrishnan N, Chan P S. Optimal sample size allocation for tests with multiple levels of stress with extreme value regression[J]. Naval Research Logistics, 2007, 54(3): 237-249.
23	Meeker W Q, Luis A E. Statistical Methods for Reliability Data[M]. New York: John Wiley &Sons, 1998.

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Multi⁃objective optimization design of accelerated degradation test based on Gamma process

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