Optimum design of equivalent accelerated life testing plans based on proportional hazards-proportional odds model  

作　　者：Tingting Huang Tongmin Jiang 

机构地区：[1]School of Reliability and Systems Engineering, Beihang University, Beijing 100191, E R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第5期871-878,共8页系统工程与电子技术（英文版）

摘　　要：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. Numer- ical 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.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. Numer- ical 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.

关 键 词：equivalent test plan proportional hazards-proportional odds （PH-PO） model D-OPTIMALITY constant stress step stress accelerated life testing （ALT）. 

分 类 号：O213.2[理学—概率论与数理统计] TE969[理学—数学]