ANALYSING ACCEPTANCE SAMPLING PLANS BY MARKOV CHAINS

Authors

  • Mohammad Mirabi Department of Industrial Engineering, Islamic Azad University, Ashkezar Branch
  • Mohammad Saber Fallahnezhad Department of Industrial Engineering, University of Yazd

DOI:

https://doi.org/10.7166/23-1-227

Keywords:

Markov analysis of acceptance sampling plans, defective items

Abstract

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

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Published

2011-11-05

How to Cite

Mirabi, M., & Saber Fallahnezhad, M. (2011). ANALYSING ACCEPTANCE SAMPLING PLANS BY MARKOV CHAINS. The South African Journal of Industrial Engineering, 23(1). https://doi.org/10.7166/23-1-227

Issue

Vol. 23 No. 1 (2012)

Section

General Articles

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