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Sequential variable sampling plan for normal distribution

delete2006-07-01
delete21
PRE
AI
Y
Yeh Lam *
K
Kim-Hung Li
W
Wai-Cheung Ip
H
Heung Wong
DOI:10.1016/j.ejor.2004.09.034delete
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摘要

摘要

En 中文
In this paper, a sequential variable sampling plan is studied. Suppose that the quality of an item in a batch is measured by a normally distributed random variable with a known variance, but the mean is unknown with a normal prior distribution. Then by using Bayesian approach and considering a Markov decision process, the optimality equations for the minimum total expected cost are formulated. We show that an optimal decision rule will have a control limit structure. An algorithm for a sequence of epsilon-optimal decisions is introduced. Then, the statistical procedure for conducting the sequential sampling plan is presented. (C) 2004 Elsevier B.V. All rights reserved.
Keyword:
sequential sampling plans
Markov decision process
optimality equation
epsilon-optimal decision
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

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