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政大典藏 > College of Commerce > Department of Business Administation > Periodical Articles > Item 140.119/100718

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/100718

Title:	Adaptive Procedures for the Two-Stage Group-Testing Problem Based on Prior Distributions and Costs
Authors:	唐揆 Schneider, H.;Tang, Kwei
Contributors:	企管系
Keywords:	Bayes, Dynamic programming, Optimization, Sampling, Screening
Date:	1990
Issue Date:	2016-08-24 17:23:43 (UTC+8)
Abstract:	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.
Relation:	Technometrics, 32(4), 397-405
Data Type:	article
DOI link:	http://dx.doi.org/10.1080/00401706.1990.10484726
DOI:	10.1080/00401706.1990.10484726
Appears in Collections:	[Department of Business Administation] Periodical Articles

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