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Optimal Designing of Chain Sampling Plan for Weibull Distributed Percentile Life Assurance

S. Balamurali, P. Jeyadurga, M. Usha, M. Venkatesulu

Abstract



In this paper, the optimal designing of one of the special purpose plans namely, chain sampling plan is proposed to ensure the Weibull distributed percentile life of the products. Percentile life is considered as the quality of the products. The optimal parameters of the proposed plan explicitly the sample size and the number of preceding lots required for sentencing the current lot are found out so that both producer and consumer risks are satisfied simultaneously with minimum sample size. A descriptive example is presented for explaining the implementation of the proposed plan. The discriminating power of proposed plan is compared with zero acceptance number single sampling plan and the significance of number of preceding lots required for current lot disposition is discussed by using operating characteristic curves.

Keywords


Chain sampling plan, Weibull distribution, percentile ratio, producer’s risk, consumer’s risk.

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