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Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution

Author

Listed:
  • Ammara Tanveer
  • Muhammad Azam
  • Muhammad Aslam
  • Muhammad Shujaat Navaz

Abstract

An attribute np control chart has been designed using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution. We suppose that lifetime follows exponentiated half-logistic distribution. For the proposed control charts, the optimal parameters and control limits have been obtained. The operational formulas for in-control and out of control average run lengths (ARLs) have been derived. Control constants are established by considering the target in-control ARL at a normal process. The extensive ARL tables are reported for various parameters and shifted values of process parameters. The performance of the proposed control chart is evaluated with several existing charts with regard to ARLs, which empower the presented chart and prove far better for timely detection of assignable causes. A wide range of tables, a real-life example, and simulation study for RGS and MDS are given for a better understanding of the problem.

Suggested Citation

  • 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.
    • Handle: RePEc:wut:journl:v:2:y:2020:p:115-143:id:1490
    DOI: 10.37190/ord200206
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    References listed on IDEAS

    as
    1. Masood Anwar & Amna Bibi, 2018. "The Half-Logistic Generalized Weibull Distribution," Journal of Probability and Statistics, Hindawi, vol. 2018, pages 1-12, January.
    2. 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.
    3. S. Balamurali & Chi-hyuck Jun, 2006. "Repetitive group sampling procedure for variables inspection," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 327-338.
    4. Gauss M. Cordeiro & Morad Alizadeh & Edwin M. M. Ortega, 2014. "The Exponentiated Half-Logistic Family of Distributions: Properties and Applications," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-21, March.
    5. David Hinkley, 1977. "On Quick Choice of Power Transformation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 67-69, March.
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