Acceptance sampling scheme with warranty for life testing using Bayesian inference methods
學年 110
學期 1
出版（發表）日期 2021-09-01
作品名稱 Acceptance sampling scheme with warranty for life testing using Bayesian inference methods
作品名稱（其他語言）
著者 J. Zhu; J. Sun; H. Xin; C. Zheng; Tzong-Ru Tsai
單位
出版者
著錄名稱、卷期、頁數 Journal of Testing and Evaluation 49(5) , p.3081-3096
摘要 We propose an empirical Bayesian (EB) procedure with a rebate warranty policy to search for optimal sampling plans for three-parameter Burr-type XII distribution (3pBXIID) under truncated life testing. The proposed method requires fewer assumptions than its competitors to search for optimal sampling plans when the lifetimes of products follow a 3pBXIID. The Newton–Raphson method using the quasi-Newton (QN) algorithm, the evolution algorithm method using the particle swarm optimization (PSO) algorithm and genetic algorithm (GA) are used in the proposed EB procedure to search for reliable estimates of the parameters in the Bayesian model, and the obtained estimates are denoted as QN-EB, PSO-EB, and GA-EB, respectively. The performance of the QN-EB, PSO-EB, and GA-EB estimates were evaluated by performing Monte Carlo simulations. The simulation results show that the PSO-EB method outperforms the GA-EB and QN-EB methods in obtaining reliable estimates of the parameters in terms of bias and mean squared error. A grid-searching algorithm with the plug-in parameters of PSO-EB estimates to search for the optimal EB sampling plans is presented. Two examples pertaining to the lifetime of an oil-well pump in a sucker-rod oil pumping system and the first failure time of a small electric cart are used to illustrate the application of the proposed EB method.
關鍵字
語言 en_US
ISSN 0090-3973
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版
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