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Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics

Author

Listed:
  • Muhammad Aslam

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

  • P. Jeyadurga

    (Department of Computer Applications, Kalasalingam Academy of Research and Education, Krishnankoil, TN 626126, India)

  • Saminathan Balamurali

    (Department of Computer Applications, Kalasalingam Academy of Research and Education, Krishnankoil, TN 626126, India)

  • Ali Hussein AL-Marshadi

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

Abstract

The aim of reducing the inspection cost and time using acceptance sampling can be achieved by utilizing the features of allocating more than one sample item to a single tester. Therefore, group acceptance sampling plans are occupying an important place in the literature because they have the above-mentioned facility. In this paper, the designing of a group acceptance sampling plan is considered to provide assurance on the product’s mean life. We design the proposed plan based on neutrosophic statistics under the assumption that the product’s lifetime follows a Weibull distribution. We determine the optimal parameters using two specified points on the operating characteristic curve. The discussion on how to implement the proposed plan is provided by an illustrative example.

Suggested Citation

  • Muhammad Aslam & P. Jeyadurga & Saminathan Balamurali & Ali Hussein AL-Marshadi, 2019. "Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics," Mathematics, MDPI, vol. 7(10), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:905-:d:271402
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    References listed on IDEAS

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    1. Loganathan A. & Vijayaraghavan R. & Rajagopal K., 2010. "Designing Single Sampling Plans by Variables Using Predictive Distribution," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 301-316, January.
    2. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
    3. Fangyu Liu & Lirong Cui, 2015. "A New Design on Attributes Single Sampling Plans," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(16), pages 3350-3362, August.
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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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