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Multiple dependent state repetitive sampling plans based on one-sided process capability indices

Author

Listed:
  • Ching-Ho Yen
  • Chia-Hao Chang
  • Muhammad Aslam
  • Chi-Hyuck Jun

Abstract

In this research, multiple dependent state and repetitive group sampling are used to design a variable sampling plan based on one-sided process capability indices, which consider the quality of the current lot as well as the quality of the preceding lots. The sample size and critical values of the proposed plan are determined by minimizing the average sample number while satisfying the producer's risk and consumer's risk at corresponding quality levels. In addition, comparisons are made with the existing sampling plans [Pearn and Wu (2006a), Yen et al. (2015)] in terms of average sample number and operating characteristic curve. Finally, an example is provided to illustrate the proposed plan.

Suggested Citation

  • Ching-Ho Yen & Chia-Hao Chang & Muhammad Aslam & Chi-Hyuck Jun, 2018. "Multiple dependent state repetitive sampling plans based on one-sided process capability indices," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(6), pages 1403-1412, March.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:6:p:1403-1412
    DOI: 10.1080/03610926.2017.1321121
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    Cited by:

    1. Ching-Ho Yen & Chun-Chia Lee & Kuo-Hung Lo & Yeou-Ren Shiue & Shu-Hua Li, 2020. "A Rectifying Acceptance Sampling Plan Based on the Process Capability Index," Mathematics, MDPI, vol. 8(1), pages 1-12, January.
    2. Gadde Srinivasa Rao & S. D. Jilani & A. Vasudeva Rao, 2021. "Designing of multiple dependent state repetitive sampling plan for type-II generalized half logistic distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1397-1409, December.

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