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題名 Adaptive Procedures for the Two-Stage Group-Testing Problem Based on Prior Distributions and Costs
作者 唐揆
Schneider, H.;Tang, Kwei
貢獻者 企管系
關鍵詞 Bayes, Dynamic programming, Optimization, Sampling, Screening
日期 1990
上傳時間 24-Aug-2016 17:23:43 (UTC+8)
摘要 A Bayesian model for the classical group-testing problem is presented. Lots of size N from which all the defective items have to be removed are submitted for inspection. If the number of defectives, D, is known, then the problem of group testing is to determine the (fixed) group size that minimizes the total inspection per lot for defective rate p = D/N. In this article, we assume that the number of defectives in a lot is a random variable with a Polya distribution. We also derive an optimal two-stage group-testing plan via dynamic programming. It is shown that a variable group size based on a simple updating procedure can reduce inspection substantially compared to a fixed group size based on the mean defective rate and applied to the whole lot.
關聯 Technometrics, 32(4), 397-405
資料類型 article
DOI http://dx.doi.org/10.1080/00401706.1990.10484726
dc.contributor 企管系
dc.creator (作者) 唐揆zh_TW
dc.creator (作者) Schneider, H.;Tang, Kwei
dc.date (日期) 1990
dc.date.accessioned 24-Aug-2016 17:23:43 (UTC+8)-
dc.date.available 24-Aug-2016 17:23:43 (UTC+8)-
dc.date.issued (上傳時間) 24-Aug-2016 17:23:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/100718-
dc.description.abstract (摘要) A Bayesian model for the classical group-testing problem is presented. Lots of size N from which all the defective items have to be removed are submitted for inspection. If the number of defectives, D, is known, then the problem of group testing is to determine the (fixed) group size that minimizes the total inspection per lot for defective rate p = D/N. In this article, we assume that the number of defectives in a lot is a random variable with a Polya distribution. We also derive an optimal two-stage group-testing plan via dynamic programming. It is shown that a variable group size based on a simple updating procedure can reduce inspection substantially compared to a fixed group size based on the mean defective rate and applied to the whole lot.
dc.format.extent 129 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Technometrics, 32(4), 397-405
dc.subject (關鍵詞) Bayes, Dynamic programming, Optimization, Sampling, Screening
dc.title (題名) Adaptive Procedures for the Two-Stage Group-Testing Problem Based on Prior Distributions and Costs
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/00401706.1990.10484726
dc.doi.uri (DOI) http://dx.doi.org/10.1080/00401706.1990.10484726