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Designing acceptance sampling schemes for life testing with mixed censoring

Author

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  • Jianwei Chen
  • Winlin Chou
  • Hulin Wu
  • Haibo Zhou

Abstract

Mixed censoring is useful extension of Type I and Type II censoring and combines some advantages of both types of censoring. This paper proposes a general Bayesian framework for designing a variable acceptance sampling scheme with mixed censoring. A general loss function which includes the sampling cost, the time‐consuming cost, the salvage value, and the decision loss is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. The new model can easily be adapted to create life testing models for different distributions. Specifically, two commonly used distributions including the exponential distribution and the Weibull distribution are considered with a special decision loss function. We demonstrate that the proposed model is superior to models with Type I or Type II censoring. Numerical examples are reported to illustrate the effectiveness of the method proposed. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • Jianwei Chen & Winlin Chou & Hulin Wu & Haibo Zhou, 2004. "Designing acceptance sampling schemes for life testing with mixed censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 597-612, June.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:4:p:597-612
    DOI: 10.1002/nav.20012
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    References listed on IDEAS

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    1. Chen, Jianwei & Choy, S. T. B. & Li, Kim-Hung, 2004. "Optimal Bayesian sampling acceptance plan with random censoring," European Journal of Operational Research, Elsevier, vol. 155(3), pages 683-694, June.
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    Cited by:

    1. Jimut Bahan Chakrabarty & Shovan Chowdhury & Soumya Roy, 2018. "Optimum Life Test Plans in Presence of Type-I Hybrid Censoring for Products Sold under General Rebate Warranty," Working papers 280, Indian Institute of Management Kozhikode.
    2. Lee‐Shen Chen & Ming‐Chung Yang & TaChen Liang, 2015. "Bayesian sampling plans for exponential distributions with interval censored samples," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 604-616, October.

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