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Optimal design of variable acceptance sampling plans for mixture distribution

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  • P. C. Ramyamol
  • M. Kumar

Abstract

The paper investigates the design of single and sequential variable acceptance sampling plans for a mixture distribution. Mixture distributions are seen in many practical problems such as life testing experiments of electronic components and clinical trials. The sampling plans for this kind of situations are not well addressed in the literature. We first propose a single sampling plan for a distribution which is a mixture of two exponential distributions. An optimization problem which minimizes the total cost of testing at given producer's and consumer's risks is solved to obtain the plan parameters. Two different sequential sampling plans are also defined and plan parameters are obtained by solving corresponding optimization problems. Finally, a case study, a simulation study and a sensitivity analysis are presented to illustrate our sampling plans.

Suggested Citation

  • P. C. Ramyamol & M. Kumar, 2019. "Optimal design of variable acceptance sampling plans for mixture distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(15), pages 2700-2721, November.
    • Handle: RePEc:taf:japsta:v:46:y:2019:i:15:p:2700-2721
    DOI: 10.1080/02664763.2019.1610162
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    Cited by:

    1. Shih-Wen Liu & Chien-Wei Wu, 2024. "An efficient partial sampling inspection for lot sentencing based on process yield," Annals of Operations Research, Springer, vol. 340(1), pages 325-344, September.

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