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指数-威布尔分布下基于期望总成本最小的寿命试验抽样方案
引用本文:曾艳,向丽,严于鲜.指数-威布尔分布下基于期望总成本最小的寿命试验抽样方案[J].数学的实践与认识,2014(13).
作者姓名:曾艳  向丽  严于鲜
作者单位:中国民用航空飞行学院计算机学院;
基金项目:国家自然科学基金(31070915,31300853)
摘    要:对于寿命遵从指数-威布尔分布的产品,在生产商提供优质保修服务的前提下,采用生产商在产品抽验过程中与产品接收后所承担的总成本期望最小的准则,制定寿命试验的最优抽样方案.通过实例,证实指数-威布尔分布适宜作为当前产品的寿命分布,并验证了这种抽样方案的合理性.

关 键 词:指数-威布尔分布  寿命试验  抽样方案  保修策略  期望总成本

Life Test Sampling Plans for Exponentiated Weibull Distribution Based on the Expected Total Cost Minimum
Abstract:Considering the products' failure times that are distributed as exponentiated Weibull distribution and the premise that the producers intend to provide high warrantyservices,the present study aims to propose the optimal life test sampling plans according to the criterion of the expected total cost minimum incurred during the products life test and after their acceptance.The given example has verified that exponentiated Weibull distribution is appropriate to be the life distribution and the proposed sampling plan is of rationality.
Keywords:exponentiated Weibull distribution  life test  sampling plans  warranty policies  expected total cost
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