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On the Odd Perks Exponential Model: An Application to Quality Control Data

Author

Listed:
  • Shakaiba Shafiq
  • Farrukh Jamal
  • Christophe Chesneau
  • Muhammad Aslam
  • John T. Mendy
  • Mohammad Hashemi-Tabatabaei

Abstract

In the present study, the group acceptance plan is examined when the lifetime of an item follows the odd Perks exponential distribution, and a large number of items regarded as a group are evaluated simultaneously. The crucial parameters are derived from the consumer risk and the test termination period. The operating characteristics function values are generated for various quality levels. An optimized group acceptance plan and comparison of group acceptance sampling plan with the ordinary sampling plan are also presented. Additionally, a graphical illustration of operating characteristics for diverse groups and parametric values is provided. The minimum ratios of the actual average life to the stipulated average life are likewise computed at the prescribed producer’s risk. Examples are used to illustrate the outcomes via our algorithm under the odd Perks exponential distribution setting. It is explained using a quality control dataset to establish its practical versatility.

Suggested Citation

  • Shakaiba Shafiq & Farrukh Jamal & Christophe Chesneau & Muhammad Aslam & John T. Mendy & Mohammad Hashemi-Tabatabaei, 2022. "On the Odd Perks Exponential Model: An Application to Quality Control Data," Advances in Operations Research, Hindawi, vol. 2022, pages 1-10, September.
  • Handle: RePEc:hin:jnlaor:5502216
    DOI: 10.1155/2022/5502216
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