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Optimum design of equivalent accelerated life testing plans based on proportional hazards-proportional odds model
Authors:Tingting Huang  Tongmin Jiang
Institution:School of Reliability arid Systems Engineering, Beihang University, Beijing 100191, P. R. China
Abstract:The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented.The defined equivalent test plan is the test plan that has the same value of the determinant of Fisher information matrix.The equivalent test plan of step stress accelerated life testing (SSALT) to a baseline optimum constant stress accelerated life testing (CSALT) plan is obtained by adjusting the censoring time of SSALT and solving the optimization problem for each case to achieve the same value of the determinant of Fisher information matrix as in the baseline optimum CSALT plan.Numerical examples are given finally which demonstrate the equivalent SSALT plan to the baseline optimum CSALT plan reduces almost half of the test time while achieving approximately the same estimation errors of model parameters.
Keywords:equivalent test plan  proportional hazards-proportional odds (PH-PO) model  D-optimality  constant stress  step stress  accelerated life testing (ALT)
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