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A new approach of time truncated chain sampling inspection plan and its applications

Author

Listed:
  • Harsh Tripathi

    (Lovely Professional University)

  • Mahendra Saha

    (Central University of Rajasthan)

  • Sanku Dey

    (St. Anthony’s College)

Abstract

This paper develops a modified chain group acceptance sampling inspection plan (MChGSIP) for inverse log-logistic distribution with known shape parameter when the life test is truncated at a pre-assumed time. The proposed modified sampling plan requires a smaller sample size than the commonly used sampling inspection plan, such as group acceptance sampling inspection plan (GSIP) and in particular single acceptance sampling inspection plan (SSIP). The values of the minimum number of groups with fixed group size and operating characteristic function for various quality levels are obtained and presented in tabular form for the proposed plan. A comparative study has been done for the MChGSIP, GSIP and SSIP. Illustrate the performance of the proposed plan by means of four real data sets and results show that the MChGSIP has better performance as compared to GSIP and SSIP in terms of the number of minimum groups, the probability of lot acceptance, the cost and the inspection time.

Suggested Citation

  • Harsh Tripathi & Mahendra Saha & Sanku Dey, 2022. "A new approach of time truncated chain sampling inspection plan and its applications," 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. 13(5), pages 2307-2326, October.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:5:d:10.1007_s13198-022-01645-x
    DOI: 10.1007/s13198-022-01645-x
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    References listed on IDEAS

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    1. K. Govindaraju & S. Balamurali, 1998. "Chain sampling plan for variables inspection," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(1), pages 103-109.
    2. Stijn Luca, 2018. "Modified chain sampling plans for lot inspection by variables and attributes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(8), pages 1447-1464, June.
    3. Rosaiah K. & Kantam R. R. L., 2005. "Acceptance Sampling Based on the Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 277-286, January.
    4. Harsh Tripathi & Sanku Dey & Mahendra Saha, 2021. "Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(7), pages 1227-1242, May.
    5. Muhammad Aslam & Debasis Kundu & Munir Ahmad, 2010. "Time truncated acceptance sampling plans for generalized exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 555-566.
    6. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    7. 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.
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