Optimum Accelerated Degradation Tests for the Gamma Degradation Process Case under the Constraint of Total Cost
نویسنده
چکیده
An accelerated degradation test (ADT) is regarded as an effective alternative to an accelerated life test in the sense that an ADT can provide more accurate information on product reliability, even when few or no failures may be expected before the end of a practical test period. In this paper, statistical methods for optimal designing ADT plans are developed assuming that the degradation characteristic follows a gamma process (GP). The GP-based approach has an advantage that it can deal with more frequently encountered situations in which the degradation should always be nonnegative and strictly increasing over time. The optimal ADT plan is developed under the total experimental cost constraint by determining the optimal settings of variables such as the number of measurements, the measurement times, the test stress levels and the number of units allocated to each stress level 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. In addition, compromise plans are developed to provide means to check the adequacy of the assumed acceleration model. Finally, sensitivity analysis procedures for assessing the effects of the uncertainties in the pre-estimates of unknown parameters are illustrated with an example.
منابع مشابه
Optimal step-stress accelerated degradation test plan for Gamma process
Step-stress accelerated degradation test (SSADT) is a useful tool for assessing the lifetime distribution of highly reliable products (under a normal-use condition) when the available test items are very few. Recently, an optimal SSADT plan has been proposed in the literature which is based on the assumption that the underlying degradation path follows a Wiener process. However, the degradation...
متن کاملDegradation of Diclofenac Sodium under Solar Light Irradiation by Photocatalytic Performance of ZnO and V2O5
Pharmaceutical pollutants are one of the most important issues of modern life and their negative effects on the environment and human health are undeniable. In the present work, the effectiveness of the photocatalytic process was studied by two semiconductors (ZnO and V2O5) in order to remove the Diclofenac Sodium completely under solar irradiation. The study examined the impact of parameters s...
متن کاملOptimal Design for Step-Stress Accelerated Test with Random Discrete Stress Elevating Times Based on Gamma Degradation Process
Recently, a step-stress accelerated degradation test (SSADT) plan, in which the stress level is elevated when the degradation value of a product crosses a pre-specified value, was proposed. The times of stress level elevating are random and vary from product to product. In this paper we extend this model to a more economic plan. The proposed extended model has two economical advantages compared...
متن کاملPhotocatalytic degradation of Lidocaine HCl using CuO/ZnO nanoparticles
In this paper, the photocatalytic degradation of Lidocaine HCl, an anesthetic was investigated inaqueous solution using CuO/ZnO as a photocatalyst. The degradation was studied under differentconditions including the amount of the photocatalyst, irradiation time, initial concentration of drug,pH of the system, initial concentration, addition of oxidant on the reaction rate and anion presence.The...
متن کاملOptimal Selection of the Most Reliable Design with a Reciprocal Weibull Degradation Rate
In industries, the manufacturer is usually confronted with the problem of selecting the most design among several competing designs for some parts (or components) of his/her product at the research and development stage. Such a selection work is no doubt a great challenge for highly reliable products, since there are few (or even no) failures can be obtained by using traditional life tests or a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Entropy
دوره 17 شماره
صفحات -
تاریخ انتشار 2015