%0 Journal Article
%T ANALYSING ACCEPTANCE SAMPLING PLANS BY MARKOV CHAINS
%A Mohammad Mirabi
%A Mohammad Saber Fallahnezhad
%J South African Journal of Industrial Engineering
%D 2012
%I SAIIE
%X ENGLISH ABSTRACT: In this research, a Markov analysis of acceptance sampling plans in a single stage and in two stages is proposed, based on the quality of the items inspected. In a stage of this policy, if the number of defective items in a sample of inspected items is more than the upper threshold, the batch is rejected. However, the batch is accepted if the number of defective items is less than the lower threshold. Nonetheless, when the number of defective items falls between the upper and lower thresholds, the decision-making process continues to inspect the items and collect further samples. The primary objective is to determine the optimal values of the upper and lower thresholds using a Markov process to minimise the total cost associated with a batch acceptance policy. A solution method is presented, along with a numerical demonstration of the application of the proposed methodology. AFRIKAANSE OPSOMMING: In hierdie navorsing word ĄŻn Markov-ontleding gedoen van aannamemonsternemingsplanne wat plaasvind in ĄŻn enkele stap of in twee stappe na gelang van die kwaliteit van die items wat ge nspekteer word. Indien die eerste monster toon dat die aantal defektiewe items ĄŻn boonste grens oorskry, word die lot afgekeur. Indien die eerste monster toon dat die aantal defektiewe items minder is as ĄŻn onderste grens, word die lot aanvaar. Indien die eerste monster toon dat die aantal defektiewe items in die gebied tussen die boonste en onderste grense l¨ş, word die besluitnemingsproses voortgesit en verdere monsters word geneem. Die prim¨şre doel is om die optimale waardes van die booonste en onderste grense te bepaal deur gebruik te maak van ĄŻn Markov-proses sodat die totale koste verbonde aan die proses geminimiseer kan word. ĄŻn Oplossing word daarna voorgehou tesame met ĄŻn numeriese voorbeeld van die toepassing van die voorgestelde oplossing.
%K Markov analysis of acceptance sampling plans
%K defective items
%U http://sajie.journals.ac.za/pub/article/view/227