Abstract

In this paper, we propose repetitive group sampling plan based on time truncated life test under exponentiated half logistic distribution by considering percentile lifetime of the product as its quality characteristic when shape parameter value of exponentiated half logistic distribution is known. In this research, the design parameters are determined for various percentile ratios using the method of two points on the operating characteristic curve. Tables are constructed for various values of shape parameters to choose optimal parameters. The sampling procedure of proposed repetitive group sampling plan is illustrated with real time data and the consequence of misspecification of shape parameter on lot acceptance probability is also investigated. The proposed plan is also compared with single and double sampling plans in terms of discriminating power and average sample number under two other lifetime distributions. Moreover, an economic design of the proposed repetitive group sampling plan is discussed and optimal plan is selected to fulfill both producer’s and consumer’s risks with minimum cost.

摘要

在本文中，我们在指数半逻辑分布的形状参数值已知的情况下，将产品的百分位寿命作为其质量特征，提出了基于时间截断寿命检验的重复组抽样方案。在本研究中，使用运行特性曲线上的两点法确定各种百分率的设计参数。为各种形状参数值构建表格以选择最佳参数。用实时数据说明了提议的重复组抽样计划的抽样程序，还研究了形状参数指定错误对批次验收概率的影响。提议的计划还在其他两种寿命分布下的判别力和平均样本数方面与单次和双次抽样计划进行了比较。此外，讨论了所提出的重复组抽样计划的经济设计，并选择了最佳计划，以最小的成本满足生产者和消费者的风险。