Cost‐effective degradation test plan for a nonlinear random‐coefficients model

Cost‐effective degradation test plan for a nonlinear random‐coefficients model

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Article ID: iaor20127788
Volume: 110
Issue: 1
Start Page Number: 68
End Page Number: 79
Publication Date: Feb 2013
Journal: Reliability Engineering and System Safety
Authors: ,
Keywords: heuristics: genetic algorithms, simulation: applications, statistics: sampling
Abstract:

The determination of requisite sample size and the inspection schedule considering both testing cost and accuracy has been an important issue in the degradation test. This paper proposes a cost‐effective degradation test plan in the context of a nonlinear random‐coefficients model, while meeting some precision constraints for failure‐time distribution. We introduce a precision measure to quantify the information losses incurred by reducing testing resources. The precision measure is incorporated into time‐varying cost functions to reflect real circumstances. We apply a hybrid genetic algorithm to general cost optimization problem with reasonable constraints on the level of testing precision in order to determine a cost‐effective inspection scheme. The proposed method is applied to the degradation data of plasma display panels (PDPs) following a bi‐exponential degradation model. Finally, sensitivity analysis via simulation is provided to evaluate the robustness of the proposed degradation test plan.

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