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Year 2015, Volume: 44 Issue: 5, 1271 - 1281, 01.10.2015

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An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method

Year 2015, Volume: 44 Issue: 5, 1271 - 1281, 01.10.2015

Abstract

The purpose of this article is to present an acceptance sampling plan based on cumulative count of conforming using minimum angle method. In this plan, if the number of inspected items until rth defective items is greater than an upper control threshold then lot is accepted and if it is less than a lower control threshold then the lot is rejected and if it is between control thresholds, process of inspecting the items continues. To design this model, we considered some important concepts like num- ber of inspected items until rth nonconforming item in inspection, first and second type of error, average number inspected (ANI)AQL andLQL. Also derivative of (ANIfunction in point AQL is used for opti- mization. The objective function of this model was constructed based on minimum angle method. Also a comparison study is carried out to evaluate the performance of proposed methodology in 50 different data sets.

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Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

Ahmad Ahmadi Yazdi This is me

Mohammad Saber Fallah Nezhad This is me

Publication Date October 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 5

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APA Yazdi, A. A., & Nezhad, M. S. F. (2015). An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method. Hacettepe Journal of Mathematics and Statistics, 44(5), 1271-1281. https://izlik.org/JA65AB39YY
AMA 1.Yazdi AA, Nezhad MSF. An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1271-1281. https://izlik.org/JA65AB39YY
Chicago Yazdi, Ahmad Ahmadi, and Mohammad Saber Fallah Nezhad. 2015. “An Optimization Model for Designing Acceptance Sampling Plan Based on Cumulative Count of Conforming Run Length Using Minimum Angle Method”. Hacettepe Journal of Mathematics and Statistics 44 (5): 1271-81. https://izlik.org/JA65AB39YY.
EndNote Yazdi AA, Nezhad MSF (October 1, 2015) An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method. Hacettepe Journal of Mathematics and Statistics 44 5 1271–1281.
IEEE [1]A. A. Yazdi and M. S. F. Nezhad, “An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1271–1281, Oct. 2015, [Online]. Available: https://izlik.org/JA65AB39YY
ISNAD Yazdi, Ahmad Ahmadi - Nezhad, Mohammad Saber Fallah. “An Optimization Model for Designing Acceptance Sampling Plan Based on Cumulative Count of Conforming Run Length Using Minimum Angle Method”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 1, 2015): 1271-1281. https://izlik.org/JA65AB39YY.
JAMA 1.Yazdi AA, Nezhad MSF. An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method. Hacettepe Journal of Mathematics and Statistics. 2015;44:1271–1281.
MLA Yazdi, Ahmad Ahmadi, and Mohammad Saber Fallah Nezhad. “An Optimization Model for Designing Acceptance Sampling Plan Based on Cumulative Count of Conforming Run Length Using Minimum Angle Method”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, Oct. 2015, pp. 1271-8, https://izlik.org/JA65AB39YY.
Vancouver 1.Yazdi AA, Nezhad MSF. An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Oct. 1;44(5):1271-8. Available from: https://izlik.org/JA65AB39YY