Optimal Design of Accelerated Degradation Tests under the Constraint of Total Experimental Cost in the Case that the Degradation Characteristic Follows a Wiener Process

Lim, Heon-Sang

doi:2012.40.2.117

Journal of Korean Society for Quality Management > Volume 40(2); 2012 > Article

Journal of Korean Society for Quality Management 2012;40(2): 117-.
doi: https://doi.org/10.7469/JKSQM.2012.40.2.117

열화가 Wiener process를 따르는 경우의 비용을 고려한 가속열화시험 계획

임헌상

삼성전자(주)

Optimal Design of Accelerated Degradation Tests under the Constraint of Total Experimental Cost in the Case that the Degradation Characteristic Follows a Wiener Process

Heon-Sang Lim

Samsung Electronics Co., Ltd.

ABSTRACT

For the highly reliable products, an accelerated degradation test (ADT) is a useful tool which has been employed in industry to obtain reliability-related information within an affordable amount of time and cost. In an ADT, as all other reliability tests, it is important to carefully design the ADT beforehand to obtain estimates of the quantities of interest as precisely as possible. In this paper, optimal ADTs are developed assuming that the constant-stress loading method is employed and the degradation characteristic follows a Wiener process. Under the constraint that the total cost does not exceed a pre-specified budget, the stress levels, the number of test units allocated to each stress level and the number of measurement (termination time) are determined such that the asymptotic variance of the maximum likelihood estimator of the q-th quantile of the lifetime distribution at the use condition is minimized.

Key Words: Accelerated Degradation Test;Wiener Process;Optimal Test Plan;Maximum Likelihood Estimation;Total Experimental Cost;