Resource Allocation for System Reliability Assessment Using Accelerated Life Testing

Accelerated life test (ALT) has been widely used to accelerate the product reliability assessment process by testing a product at higher than nominal stress conditions. For a system with multiple components, the tests can be performed at component-level or system-level. The data at these two levels require different amount of resources to collect and carry different values of information for system reliability assessment. Even though component-level tests are cheap to perform, they cannot account for the correlations between the failure time distributions of different components. While system-level tests can naturally account for the complicated dependence between component failure time distributions, the required testing efforts are much higher than that of component-level tests. This research proposes a novel resource allocation framework for ALT-based system reliability assessment. A physics-informed load model is first employed to bridge the gap between component-level tests and system-level tests. An optimization framework is then developed to effectively allocate testing resources to different types of tests. The information fusion of component-level and system-level tests allows us to accurately estimate the system reliability with a minimized requirement on the testing resources. Results of two numerical examples demonstrate the effectiveness of the proposed framework.

[1]  T. Bedford,et al.  Vines: A new graphical model for dependent random variables , 2002 .

[2]  Francis G. Pascual,et al.  Accelerated Life Test Planning With Independent Weibull Competing Risks With Known Shape Parameter , 2007, IEEE Transactions on Reliability.

[3]  Trenton Kirchdoerfer,et al.  Data-driven computational mechanics , 2015, 1510.04232.

[4]  Donald R. Houser,et al.  Mathematical models used in gear dynamics—A review , 1988 .

[5]  Yao Zhang,et al.  Bayesian Methods for Planning Accelerated Life Tests , 2006, Technometrics.

[6]  M. Sasena,et al.  Exploration of Metamodeling Sampling Criteria for Constrained Global Optimization , 2002 .

[7]  Zissimos P. Mourelatos,et al.  A New Method for Making Design Decisions: Decision Topologies , 2015 .

[8]  Do Sun Bai,et al.  Optimum simple step-stress accelerated life tests with censoring , 1989 .

[9]  Connie M. Borror,et al.  Sensitivity Analysis of Optimal Designs for Accelerated Life Testing , 2010 .

[10]  R. Pan,et al.  Analyzing step-stress accelerated life testing data using generalized linear models , 2010 .

[11]  P. Djurić,et al.  Particle filtering , 2003, IEEE Signal Process. Mag..

[12]  Xin Wu,et al.  Material Degradation Modeling and Failure Prediction Using Microstructure Images , 2018, Technometrics.

[13]  Zhen Hu,et al.  Calibration experimental design considering field response and model uncertainty , 2017 .

[14]  Paul D. Arendt,et al.  Quantification of model uncertainty: Calibration, model discrepancy, and identifiability , 2012 .

[15]  Masatoshi Uno,et al.  Accelerated Charge–Discharge Cycling Test and Cycle Life Prediction Model for Supercapacitors in Alternative Battery Applications , 2012, IEEE Transactions on Industrial Electronics.

[16]  Hao Zhang,et al.  Design of optimum multiple-stress accelerated life testing plans based on proportional odds model , 2009 .

[17]  Matthew P. Castanier,et al.  System Failure Identification using Linear Algebra: Application to Cost-Reliability Tradeoffs under Uncertain Preferences , 2012 .

[18]  Wayne Nelson,et al.  Graphical Analysis of Accelerated Life Test Data with the Inverse Power Law Model , 1972 .

[19]  M. C. Jones,et al.  Simple boundary correction for kernel density estimation , 1993 .

[20]  Wayne Nelson,et al.  Analysis of Accelerated Life Test Data - Part I: The Arrhenius Model and Graphical Methods , 1971, IEEE Transactions on Electrical Insulation.

[21]  W. Nelson,et al.  Optimum Simple Step-Stress Plans for Accelerated Life Testing , 1983, IEEE Transactions on Reliability.

[22]  Jason P. Halloran,et al.  Explicit finite element modeling of total knee replacement mechanics. , 2005, Journal of biomechanics.

[23]  Thomas A. Mazzuchi,et al.  Competing failure modes in accelerated life testing , 2006 .

[24]  A. Frigessi,et al.  Pair-copula constructions of multiple dependence , 2009 .

[25]  Xianhui Yang,et al.  A simple reliability block diagram method for safety integrity verification , 2007, Reliab. Eng. Syst. Saf..

[26]  Yili Hong,et al.  Sequential Bayesian Design for Accelerated Life Tests , 2018, Technometrics.

[27]  W. Nelson Accelerated Life Testing - Step-Stress Models and Data Analyses , 1980, IEEE Transactions on Reliability.

[28]  M. Pitt,et al.  Efficient Bayesian inference for Gaussian copula regression models , 2006 .

[29]  D. Bai,et al.  Optimal design of partially accelerated life tests for the lognormal distribution under type I censoring , 1993 .

[30]  Moon Gi Kang,et al.  Super-resolution image reconstruction , 2010, 2010 International Conference on Computer Application and System Modeling (ICCASM 2010).

[31]  Tongmin Jiang,et al.  Optimal design for step-stress accelerated degradation testing with competing failure modes , 2009, 2009 Annual Reliability and Maintainability Symposium.

[32]  David W. Coit,et al.  Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes , 2010 .

[33]  Sankaran Mahadevan,et al.  Probability models for data-Driven global sensitivity analysis , 2019, Reliab. Eng. Syst. Saf..

[34]  Xun Chen,et al.  Statistical Inference of Accelerated Life Testing With Dependent Competing Failures Based on Copula Theory , 2014, IEEE Transactions on Reliability.

[35]  Zhen Hu,et al.  A Sequential Accelerated Life Testing Framework for System Reliability Assessment With Untestable Components , 2018, Journal of Mechanical Design.

[36]  Sankaran Mahadevan,et al.  Accelerated Life Testing (ALT) Design Based on Computational Reliability Analysis , 2016, Qual. Reliab. Eng. Int..

[37]  T. Mazzuchi,et al.  A general Bayes exponential inference model for accelerated life testing , 2004 .

[38]  E. Elsayed,et al.  A general accelerated life model for step-stress testing , 2005 .

[39]  J. René van Dorp,et al.  A general Bayes weibull inference model for accelerated life testing , 2005, Reliab. Eng. Syst. Saf..

[40]  Xiaoping Du,et al.  Simulation-based time-dependent reliability analysis for composite hydrokinetic turbine blades , 2013 .