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A Rectifying Acceptance Sampling Plan Based on the Process Capability Index

Author

Listed:
  • Ching-Ho Yen

    (Department of Industrial Engineering & Management Information, Huafan University, New Taipei City 223, Taiwan)

  • Chun-Chia Lee

    (School of Business, Minnan Normal University, Zhangzhou 363000, China)

  • Kuo-Hung Lo

    (Department of Economic & Statistics, Fujian Business University, Fuzhou 350016, China)

  • Yeou-Ren Shiue

    (Department of Management Engineering, Fujian Business University, Fuzhou 350016, China)

  • Shu-Hua Li

    (Graduate Institute of Technology, Innovation and Intellectual Property Management, College of Commerce, National Cheng-chi University, Taipei City 116, Taiwan)

Abstract

The acceptance sampling plan and process capability index (PCI) are critical decision tools for quality control. Recently, numerous research papers have examined the acceptance sampling plan in combination with the PCI. However, most of these papers have not considered the aspect of rectifying inspections. In this paper, we propose a quality cost model of repetitive sampling to develop a rectifying acceptance sampling plan based on the one-sided PCI. This proposed model minimizes the total quality cost (TQC) of sentencing one lot, including inspection cost, internal failure cost, and external failure cost. In addition, sensitivity analysis is conducted to investigate the behavior of relevant parameters against TQC. To demonstrate the advantages of the proposed methodology, a comparison is implemented with the existing rectifying sampling plan in terms of TQC and average outgoing quality limit. This comparison reveals that our proposed methodology exhibits superior performance.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:141-:d:310834
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    References listed on IDEAS

    as
    1. Amy Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    2. Amy H. I. Lee & Chien-Wei Wu & Yen-Wen Chen, 2016. "A modified variables repetitive group sampling plan with the consideration of preceding lots information," Annals of Operations Research, Springer, vol. 238(1), pages 355-373, March.
    3. 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.
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    Cited by:

    1. Muhammad Aslam & Gadde Srinivasa Rao & Mohammed Albassam, 2022. "Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme," IJERPH, MDPI, vol. 19(9), pages 1-14, April.

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