FAILURE RATE UNDER WEIBULL DISTRIBUTION

Chen Wenhua

(State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027)

Cui Jie

(The 31th Institute of China Aerospace Science &  Industry Corp., Beijing 100074)

Pan Jun

(Zhejiang College of Science and Technology, Hangzhou 310012)

Zhou Shengjun  Lu Xianbiao

(Hangzhou Aerospace Electrical Technology Co., Ltd, Hangzhou 310015)

Abstract: In order to make sure whether the reliability of products is satisfied with the provided requirements within testing time as short as possible, it is discussed that Bayesian demonstration testing method on the reliability of products whose life is fitted to Weibull distribution, with Gamma distribution as prior distribution and failure rate as demonstration index. Taken aerospace electrical connectors of certain type for example, Bayesian demonstration testing plan of censoring-Ⅰ is made out and evaluated by Monte-Carlo simulation method. Compared with classical demonstration testing method of censoring-Ⅰ, the time of the Bayesian demonstration testing is only about 45% of the classical one. Via Monte-Carlo simulated evaluation on the testing plan, the result reveals that the value of posterior user’s risk in theory is basically the same as it in fact. So the testing plan can meet the predestinate requirements of the testing.

Key words: Weibull distribution  Failure rate  Bayesian demonstration

CLC No: TB114.3

Received 20050326, received in revised form 20050908