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Acceptance reliability sampling plan for items from heterogeneous populations

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  • Ji Hwan Cha
  • Maxim Finkelstein

Abstract

Existing reliability sampling plans reported in the literature assume that the items belong to homogeneous populations. However, at many practical instances, a population of the manufactured items is a mixed one. In this paper, we consider the case when a population consists of items that belong to two subpopulations, that is, the subpopulation with better reliability characteristics and that with worse reliability characteristics. Thus, a variables acceptance reliability sampling plan is proposed and its properties are investigated under this assumption. A sequential numerical algorithm for finding the parameters of the proposed sampling plan is developed and applied. Furthermore, the lifetime of the population before the acceptance test and that of the population which have passed the sampling test are stochastically compared.

Suggested Citation

  • Ji Hwan Cha & Maxim Finkelstein, 2023. "Acceptance reliability sampling plan for items from heterogeneous populations," Journal of Risk and Reliability, , vol. 237(6), pages 1199-1208, December.
    • Handle: RePEc:sae:risrel:v:237:y:2023:i:6:p:1199-1208
    DOI: 10.1177/1748006X221116243
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    References listed on IDEAS

    as
    1. Ji Hwan Cha & Maxim Finkelstein, 2019. "Stochastic modeling of quality of systems operating in a heterogeneous environment," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(6), pages 1344-1365, November.
    2. Muhammad Aslam & Muhammad Azam & Chi‐Hyuck Jun, 2015. "Various repetitive sampling plans using process capability index of multiple quality characteristics," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(6), pages 823-835, November.
    3. Cha, Ji Hwan & Finkelstein, Maxim, 2013. "The failure rate dynamics in heterogeneous populations," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 120-128.
    4. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2021. "Optimal warranty policy with inspection for heterogeneous, stochastically degrading items," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1142-1152.
    5. 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.
    6. Ji Hwan Cha & Maxim Finkelstein, 2022. "A new warranty policy for heterogeneous items subject to monotone degradation processes," Journal of Risk and Reliability, , vol. 236(1), pages 55-65, February.
    7. Ji Hwan Cha & F. G. Badía, 2021. "Variables acceptance reliability sampling plan based on degradation test," Statistical Papers, Springer, vol. 62(5), pages 2227-2245, October.
    8. Min Kim & Bong-Jin Yum, 2011. "Life test sampling plans for Weibull distributed lifetimes under accelerated hybrid censoring," Statistical Papers, Springer, vol. 52(2), pages 327-342, May.
    9. Maxim Finkelstein & Ji Hwan Cha, 2013. "Burn-in for Heterogeneous Populations," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 261-312, Springer.
    10. Maxim Finkelstein & Ji Hwan Cha, 2013. "Shocks as Burn-in," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 313-361, Springer.
    Full references (including those not matched with items on IDEAS)

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