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Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution

Author

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  • Kumar Mahesh

    (Department of Mathematics, National Institute of Technology Calicut, PIN 673601, Kerala, India)

  • P C Ramyamol

    (Department of Mathematics, National Institute of Technology Calicut, PIN 673601, Kerala, India)

Abstract

In this paper, an attempt is made to derive the most efficient economic reliability sampling plans for accepting a lot containing identical units having exponentially distributed lifetime with parameter θ. We consider two types of sampling plans, namely, (a) sequential sampling plan (t1,t2)${(t_1,t_2)}$ and (b) repetitive group sampling plan (n,t1,t2)${(n,t_1,t_2)}$. Under plan (a), the lot is rejected when the time between successive failures (Yr)${(Y_r)}$ is less than t1, and accepted when Yr≥t2${Y_r\ge t_2}$. The testing will continue for t1≤Yr

Suggested Citation

  • Kumar Mahesh & P C Ramyamol, 2016. "Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(1), pages 23-36, June.
    • Handle: RePEc:bpj:ecqcon:v:31:y:2016:i:1:p:23-36:n:1
    DOI: 10.1515/eqc-2015-0005
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    References listed on IDEAS

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    1. Chi-Hyuck Jun & Hyeseon Lee & Sang-Ho Lee & S. Balamurali, 2010. "A variables repetitive group sampling plan under failure-censored reliability tests for Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 453-460.
    2. Chien-Wei Wu & Muhammad Aslam & James C. Chen & Chi-Hyuck Jun, 2015. "A repetitive group sampling plan by variables inspection for product acceptance determination," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 9(3), pages 308-326.
    3. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    4. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
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    Cited by:

    1. Amer Al-Omari, 2018. "Improved acceptance sampling plans based on truncated life tests for Garima distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(6), pages 1287-1293, December.

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