Acceptance Single Sampling Plan by Using of Poisson Distribution

Volume 1, Issue 1, pp 6--13 http://dx.doi.org/10.22436/jmcs.001.01.02

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Authors

E. Baloui Jamkhaneh - Ph.D Student, Science and Research Branch, Islamic Azad University, Tehran, Iran B. Sadeghpour-Gildeh - Department of Statistics, Faculty of Basic Science, University of Mazandaran Bablosar, Iran Gh. Yari - Iran University of Science and Technology, Tehran, Iran

Abstract

This purpose of this paper is to present the acceptance single sampling plan when the fraction of nonconforming items is a fuzzy number and being modeled based on the fuzzy Poisson distribution. We have shown that the operating characteristic (OC) curves of the plan are like a band having high and low bounds whose width depends on the ambiguity proportion parameter in the lot when that sample size and acceptance numbers is fixed. Finally we completed discuss opinion by a numerical example. And then we compared the OC bands of using of binomial with the OC bands of using of Poisson distribution.

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Keywords

• Statistical quality control
• Acceptance single sampling
• Fuzzy number.

MSC

•  94D99
•  62D99
•  97K60
•  97K50

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