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

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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.

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Availability of data and material

The link of the dataset used in this study is included within the article, and data set also provided in the article.

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Acknowledgements

The authors express their sincere thanks to the esteemed Reviewers and the Editor for making some useful suggestions on an earlier version of this manuscript which resulted in this improved version.

Funding

This research received no external or internal funding.

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Authors and Affiliations

  1. Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India

    Harsh Tripathi

  2. Department of Statistics, Central University of Rajasthan, Ajmer, Rajasthan, India

    Mahendra Saha

  3. Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India

    Sanku Dey

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  1. Harsh Tripathi
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  2. Mahendra Saha
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  3. Sanku Dey
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All authors contributed equally to this work, have read and agreed to the published version of the manuscript.

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Correspondence to Mahendra Saha.

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Appendix

Appendix

Data set I

0.39,  0.81,  0.85,  0.98,  1.08,  1.12,  1.17,  1.18,  1.22,  1.25,  1.36,  1.41,  1.47,  1.57,  1.57,  1.59,  1.59,  1.61,  1.61,  1.69,  1.69,  1.71,  1.73,  1.8,  1.84,  1.84,  1.87,  1.9,  1.92,  2.0,  2.03,  2.03,  2.05,  2.12,  2.17,  2.17,  2.17,  2.35,  2.38,  2.41,  2.43,  2.48,   2.48,  2.5,  2.53,  2.55,  2.55,  2.56,  2.59,  2.67,  2.73,  2.74,  2.76,  2.77,  2.79,  2.81,   2.81,  2.82,  2.83,  2.85,  2.87,  2.88,  2.93,  2.95,  2.96,  2.97,  2.97,  3.09,  3.11,  3.11,   3.15,  3.15,  3.19,  3.19,  3.22,  3.22,  3.27,  3.28,  3.31,  3.31,  3.33,  3.39,  3.39,  3.51,   3.56,  3.60,  3.65,  3.68,  3.68,  3.68,  3.70,  3.75,  4.20,  4.38,  4.42,  4.70,  4.90,  4.91,   5.08,  5.56.

Data set II

17.88,  28.92,  33, 41.52,  42.12,  45.60,  48.40,  51.84,  51.96,  54.12,  55.56,  67.80, 68.64,  68.64,  68.88,  84.12,  93.12,  98.64,  105.12,  105.84,  127.92,  128.04,  173.40.

Data set III

7.74,  17.05,  20.46,  21.02,  22.66,  43.40,  47.30,  139.07,  144.12,  175.88,  194.90.

Data set IV

127,  124,  121,  118,  125,  123,  136,  131,  131,  120,  140,  125,  124,  119,  137, 133,  129,  128,  125,  141,  121,  133,  124,  125,  142,  137,  128,  140,  151,  124, 129, 131, 160, 142, 130, 129, 125, 123, 122, 126.

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Tripathi, H., Saha, M. & Dey, S. A new approach of time truncated chain sampling inspection plan and its applications. Int J Syst Assur Eng Manag 13, 2307–2326 (2022). https://doi.org/10.1007/s13198-022-01645-x

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