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Design of an attribute np control chart for process monitoring based on repetitive group sampling under truncated life tests

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  • P. Jeyadurga
  • S. Balamurali
  • M. Aslam

Abstract

In this paper, an attribute control chart under repetitive group sampling is designed for monitoring the production process where the lifetime of the product is considered as quality of the product. We assume that the lifetime follows the Pareto distribution of second kind with known shape parameter. The performance of the proposed chart is evaluated by average run length. The control limits coefficients as well as the repetitive group sampling parameter such as sample size are determined such that the in-control average run length is as close as to the specified average run length. Out-of-control average run length is also reported for different shift constants with corresponding optimal parameters. In addition, performance of proposed control chart is compared with the performance of existing chart. An economical designing of proposed control chart is also discussed.

Suggested Citation

  • P. Jeyadurga & S. Balamurali & M. Aslam, 2018. "Design of an attribute np control chart for process monitoring based on repetitive group sampling under truncated life tests," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(24), pages 5934-5955, December.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:24:p:5934-5955
    DOI: 10.1080/03610926.2017.1404098
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    Cited by:

    1. Muhammad Aslam & Osama Hasan Arif, 2019. "Classification of the State of Manufacturing Process under Indeterminacy," Mathematics, MDPI, vol. 7(9), pages 1-8, September.
    2. Sabri-Laghaie, Kamyar & Fathi, Mahdi & Zio, Enrico & Mazhar, Maryam, 2022. "A novel reliability monitoring scheme based on the monitoring of manufacturing quality error rates," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    3. Ammara Tanveer & Muhammad Azam & Muhammad Aslam & Muhammad Shujaat Navaz, 2020. "Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 115-143.

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