Optimal Design of Step‐stress Accelerated Degradation Test with Multiple Stresses and Multiple Degradation Measures

Products with high reliability and long lifetimes undergo different types of stresses in use conditions. Often there are multiple performance indicators for products that gradually degrade over time. An accelerated degradation test (ADT) with multiple stresses and multiple degradation measures (MSMDM) may provide a more accurate prediction of the lifetime of these products. However, the ADT requires a moderate sample size, which is not practical for newly developed or costly products with only a few available test specimens on hand. Therefore, in this study, a step-stress ADT (SSADT) with MSMDM is developed. However, it is a difficult endeavor to design SSADT with MSMDM to predict accurate reliability estimation under several constraints. Previous methods are used only for cases with a single stress or degradation measure, and are not suitable for SSADT with MSMDM. In this paper, an approach of optimal design is proposed for SSADT with MSMDM and its steps for a rubber sealed O-ring are demonstrated to illustrate its validity. Results of the sensitivity analysis for the optimal test plan indicate robustness when the deviation of model parameters is within 10% of the estimated values. Copyright © 2017 John Wiley & Sons, Ltd.

[1]  Ewan Macarthur,et al.  Accelerated Testing: Statistical Models, Test Plans, and Data Analysis , 1990 .

[2]  Xun Chen,et al.  Optimal design of constant stress accelerated degradation test plan with multiple stresses and multiple degradation measures , 2015 .

[3]  Sheng-Tsaing Tseng,et al.  Optimal design for step-stress accelerated degradation tests , 2006, IEEE Trans. Reliab..

[4]  Bong-Jin Yum,et al.  Optimal Design of Step-Stress Degradation Tests in the Case of Destructive Measurement , 2004 .

[5]  Jen Tang,et al.  Optimum step-stress accelerated degradation test for Wiener degradation process under constraints , 2015, Eur. J. Oper. Res..

[6]  Kai Yang,et al.  Accelerated degradation-tests with tightened critical values , 2002, IEEE Trans. Reliab..

[7]  S. Tseng,et al.  Step-Stress Accelerated Degradation Analysis for Highly Reliable Products , 2000 .

[8]  Guangbin Yang.  Reliability Demonstration Through Degradation Bogey Testing , 2009, IEEE Transactions on Reliability.

[9]  Peter Müller,et al.  Optimal Design via Curve Fitting of Monte Carlo Experiments , 1995 .

[10]  Peng Wang,et al.  Reliability prediction based on degradation modeling for systems with multiple degradation measures , 2004, Annual Symposium Reliability and Maintainability, 2004 - RAMS.

[11]  Jye-Chyi Lu,et al.  Statistical inference of a time-to-failure distribution derived from linear degradation , 1997 .

[12]  Xiang Lu,et al.  Reliability demonstration methodology for products with Gamma Process by optimal accelerated degradation testing , 2015, Reliab. Eng. Syst. Saf..

[13]  Heonsang Lim.  Optimum Accelerated Degradation Tests for the Gamma Degradation Process Case under the Constraint of Total Cost , 2015, Entropy.

[14]  Hong-Fwu Yu,et al.  Designing an accelerated degradation experiment with a reciprocal Weibull degradation rate , 2006 .

[15]  Tzong-Ru Tsai,et al.  Optimal Decisions on the Accelerated Degradation Test Plan Under the Wiener Process , 2014 .

[16]  Luis A. Escobar,et al.  Accelerated degradation tests: modeling and analysis , 1998 .

[17]  Tongmin Jiang,et al.  Optimal design for step-stress accelerated degradation testing based on D-optimality , 2011, 2011 Proceedings - Annual Reliability and Maintainability Symposium.

[18]  Jing-Rui Zhang,et al.  Optimization of step stress accelerated degradation test plans , 2010, 2010 IEEE 17Th International Conference on Industrial Engineering and Engineering Management.

[19]  I. Polavarapu,et al.  An interval estimate of mean-time-to-failure for a product with reciprocal Weibull degradation failure rate , 2005, Annual Reliability and Maintainability Symposium, 2005. Proceedings..

[20]  Chanseok Park,et al.  Stochastic degradation models with several accelerating variables , 2006, IEEE Transactions on Reliability.

[21]  Hong-Fwu Yu,et al.  Designing an accelerated degradation experiment by optimizing the estimation of the percentile , 2003 .

[22]  Loon Ching Tang,et al.  Accelerated Degradation Test Planning Using the Inverse Gaussian Process , 2014, IEEE Transactions on Reliability.

[23]  Shing I. Chang,et al.  Optimal Two-Variable Accelerated Degradation Test Plan for Gamma Degradation Processes , 2016, IEEE Transactions on Reliability.

[24]  Margaret J. Robertson,et al.  Design and Analysis of Experiments , 2006, Handbook of statistics.

[25]  Xun Chen,et al.  Simulation-based optimal design for accelerated degradation tests , 2009 .

[26]  M. Xie,et al.  Planning of step-stress accelerated degradation test , 2004, Annual Symposium Reliability and Maintainability, 2004 - RAMS.

[27]  M. Boulanger,et al.  Experimental Design for a Class of Accelerated Degradation Tests , 1994 .

[28]  Hong-Fwu Yu,et al.  DESIGNING AN ACCELERATED DEGRADATION EXPERIMENT BY OPTIMIZING THE INTERVAL ESTIMATION OF THE MEAN-TIME-TO-FAILURE , 2002 .

[29]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .