Novel Group Acceptance Sampling Plan for Modified Power Exponential Distribution with Application to Quality and Reliability Analysis

Authors

  • Sidra Naz Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan https://orcid.org/0009-0007-7233-7824
  • Muhammad Ameeq Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan https://orcid.org/0000-0002-3677-2075
  • M. H. Tahir Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan https://orcid.org/0000-0002-2157-3997
  • Muhammad Muneeb Hassan Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan https://orcid.org/0000-0002-1989-2622
  • Laraib Fatima Deaprtment of Mathematics, National College of Business Administration and Economics, Lahore, Punjab, Pakistan https://orcid.org/0009-0005-0442-4630
  • Basem A. Alkhaleel Department of Industrial Engineering, King Saud University, Riyadh, 12372, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.6220256452

Keywords:

producer risk, optimized values, quality index, sampling plan, GASP

Abstract

This study introduces a group acceptance sampling plan (GASP) utilizing a truncated life test in which the lifespan of an object follows a modified power exponential distribution. The median is used as a quality measure for various constraint design criteria, including consumer and producer risks, as well as the minimum group size required for a specified acceptance number and test termination time. The optimized values are presented in tables and graphs. In addition, we illustrate our findings using real-world datasets. Furthermore, we compared different distributions under the GASP framework and compared GASP with the ordinary sampling plan (OSP) approach. Simulations were performed using the estimated parametric values. Future research is recommended to further enhance the efficiency and quality control procedures.

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Published

2025-04-15

How to Cite

1.
Naz S, Ameeq M, Tahir MH, Hassan MM, Fatima L, Alkhaleel BA. Novel Group Acceptance Sampling Plan for Modified Power Exponential Distribution with Application to Quality and Reliability Analysis. Contemp. Math. [Internet]. 2025 Apr. 15 [cited 2026 Jan. 9];6(2):2392-408. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6452