Email this article Improved group sampling plans under odd-Perks-Lomax model with limited risks
Abstract
In this article, a group sampling scheme for lot sentencing is developed under time-censoring when the lifetime of a product follows the odd-Perks-Lomax distribution. The test plans are constructed by limiting a linear combination of the producer and consumer risks from frequentist and Bayesian frameworks. Integer nonlinear programming are used to designate the optimal number of groups and acceptance limit. Several tables and figures are constructed to scrutinize the performance of the proposed testing strategies. The proposed optimal test plans outperform the traditional optimal two-point plan in terms of sample size.
Furthermore, using prior information for defectives proportion increases the effectiveness of the proposed plans. A numerical example is provided to demonstrate the application of the introduced scheme.
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