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  • Hacettepe Journal of Mathematics and Statistics
  • Volume:44 Issue:5
  • An optimization model for designing acceptance sampling plan based on cumulative count of conforming...

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

Authors : Ahmad Ahmadi YAZDİ, Mohammad Saber Fallah NEZHAD
Pages : 1271-1281
View : 58 | Download : 12
Publication Date : 2015-10-01
Article Type : Research Paper
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  r th  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  r th  nonconforming item in inspection, first and second type of error, average number inspected  insert ignore into journalissuearticles values( ANI ); ,  AQL  and LQL . Also derivative of  insert ignore into journalissuearticles values( ANI );  function 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.
Keywords : Quality control, Markovian model, Conforming run length, Accep tance sampling plan, Minimum angle method

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