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Overdispersion Effects on Reliability Test Planning
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DOI：10.1109/TR.2022.3195055.png)
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摘要
En 中文
The impact of overdispersion on the design of optimal reliability demonstration test plans for beta-binomial models with Weibull, gamma, and lognormal lifetime distributions is analyzed. Assuming limited producer and consumer risks, fixed-duration test plans with minimal sample sizes and optimal-duration test plans with minimum costs based on failure count data are determined by solving the corresponding nonlinear programming problems when the fluctuation of the failure probability is described by a beta distribution. If the test time is fixed, the overdispersion effect on the optimal sample size and decision criterion is important in most situations. The influence is less relevant when the engineer also wants to find the minimum-cost test time. Optimal-duration plans usually outperform fixed-duration schemes in terms of costs and robustness against overdispersion. The use of lot inspection schemes with optimal reliability test times is strongly recommended when the presence of overdispersed failure count data is suspected. Applications of the developed methodology to the manufacturing of microelectronic chips and semiconductor lasers are provided for illustrative and comparative purposes.
Keyword:
Reliability
Reliability engineering
Inspection
Shape
Dispersion
Programming
Cost function
Beta-binomial model
constrained nonlinear optimization
fixed and optimal test durations
limited producer and consumer risks
lognormal and gamma distributions
reliability demonstration test (RDT) plans
Weibull models
期刊
IF:
5.7
论文数:
2.8K
被引数:
8.5K
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