Comparison of Constant-Stress and Step-Stress Accelerated Life Tests for Series Systems under Exponentila Life Distribution

碩士 === 國立中央大學 === 統計研究所 === 101 === Accelerated life testing (ALT) is a process of testing products by subjecting it to strict conditions, in order to observe more failure data in a short time period. In this thesis, we consider the ALT of series system, each consists of two components whose life ti...

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Bibliographic Details
Main Authors: Bo-Lung Chiu, 邱柏龍
Other Authors: Tsai-Hung Fan
Format: Others
Language:zh-TW
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/46498819835365642065
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Summary:碩士 === 國立中央大學 === 統計研究所 === 101 === Accelerated life testing (ALT) is a process of testing products by subjecting it to strict conditions, in order to observe more failure data in a short time period. In this thesis, we consider the ALT of series system, each consists of two components whose life time distributions follow independent exponential distributions. Optimal designs on the sample allocation for the two-level constant-stress ALT(CSALT) and on the time for changing stress levels for the two-level step-stress ALT(SSALT) are considered based on V-optimality, D- optimality and A-optimality, respectively. Under Type-I censoring, it shows, by numerical results, that the optimal SSALT is better than the optimal CSALT in terms of the resulting objective functions. We also prove that the two optimal ALTs are indeed equivalent without censoring. In addition, we use the optimal CSALT as the baseline ALT to obtain an equivalent SSALT plan. A real data is analyzed to demonstrate the performance of both ALT plans under the three optimality criteria as well as the equivalent test plans.