A hierarchical modeling approach to accelerated degradation testing data analysis: A case study

A hierarchical modeling approach to accelerated degradation testing data analysis: A case study

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Article ID: iaor201112595
Volume: 27
Issue: 2
Start Page Number: 229
End Page Number: 237
Publication Date: Mar 2011
Journal: Quality and Reliability Engineering International
Authors: ,
Keywords: quality & reliability, simulation: applications
Abstract:

In this case study, we investigate the degradation process of light-emitting diodes (LEDs), which is used as a light source in DNA sequencing machines. Accelerated degradation tests are applied by varying temperature and forward current, and the light outputs are measured by a computerized measuring system. A degradation path model, which connects to the LED function recommended in Mitsuo (1991), is used in describing the degradation process. We consider variations in both measurement errors and degradation paths among individual test units. It is demonstrated that the hierarchical modeling approach is flexible and powerful in modeling a complex degradation process with nonlinear function and random coefficient. After fitting the model by maximum likelihood estimation, the failure time distribution can be obtained by simulation.

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