Quality Assessment Metrics of Group Acceptance Sampling Plan Indexed with Half Normal Distribution

The assessment of quality metrics defines a significant role in acceptance–rejection criteria of products from any manufacturing industry, challenging the producer’s risk and the consumer’s risk. The proposed work aims to formulate a structural framework by studying the reliability of products and ensuring the effective sampling plan methodology. Thy group acceptance sampling plan (GASP) is promoted with truncated life tests using a Half-Normal distribution, and this study seeks to provide a more accurate assessment of the quality characteristics of the items. For a given group size, the optimum number of groups and the acceptance number required are determined for the specified consumer’s risk with test termination time. Operating characteristic function values with their corresponding curve and minimum ratio for the given producer’s risk are tabulated. Real-life example data sets are provided, and a comparison was made between SSP and GASP, which is also shown.

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Publication Details

Journal
American Journal of Mathematical and Management Sciences
Published
2026-07-24
DOI
https://doi.org/10.1080/01966324.2026.2703118
Primary Topic
Advanced Statistical Process Monitoring
Type
article
Field-Weighted Citation Impact
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article

Quality Assessment Metrics of Group Acceptance Sampling Plan Indexed with Half Normal Distribution

R. ThulasiLakshmi, K. Pradeepa Veerakumari
American Journal of Mathematical and Management Sciences
Advanced Statistical Process Monitoring
article

Quality Assessment Metrics of Group Acceptance Sampling Plan Indexed with Half Normal Distribution

R. ThulasiLakshmi, K. Pradeepa Veerakumari
article en

Abstract

The assessment of quality metrics defines a significant role in acceptance–rejection criteria of products from any manufacturing industry, challenging the producer’s risk and the consumer’s risk. The proposed work aims to formulate a structural framework by studying the reliability of products and ensuring the effective sampling plan methodology. Thy group acceptance sampling plan (GASP) is promoted with truncated life tests using a Half-Normal distribution, and this study seeks to provide a more accurate assessment of the quality characteristics of the items. For a given group size, the optimum number of groups and the acceptance number required are determined for the specified consumer’s risk with test termination time. Operating characteristic function values with their corresponding curve and minimum ratio for the given producer’s risk are tabulated. Real-life example data sets are provided, and a comparison was made between SSP and GASP, which is also shown.

American Journal of Mathematical and Management Sciences
Bharathiar University (IN), CMR University (IN)
Openalex Percentile: Top 7%
Advanced Statistical Process Monitoring
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