IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v340y2024i1d10.1007_s10479-023-05804-6.html
   My bibliography  Save this article

Two sample Bayesian acceptance sampling plan

Author

Listed:
  • Deepak Prajapati

    (Indian Institute of Management Lucknow)

  • Shuvashree Mondal

    (Indian Institute of Technology (Indian School of Mines) Dhanbad)

  • Debasis Kundu

    (Indian Institute of Technology Kanpur)

Abstract

This article presents the optimal Bayesian acceptance sampling plan (BASP) for two sample cases. In constructing the BASP, the decision-theoretic approach is used with a specified loss function, and the Bayes decision rule is developed by minimizing the Bayes risk. Both batches of products from the production line are accepted or rejected simultaneously based on the observed sample. Such implementation has a significant advantage in reducing the cost and time by deciding on the acceptance or rejection of both the batches in a single-life testing experiment. The optimal BASP is derived under the assumption of Weibull and exponential lifetimes, although it can be extended for other lifetime distributions also. Some numerical results have been presented to show the performances of the proposed BASP. We have presented the analysis of two data sets; (i) real and (ii) simulated, mainly to show how the proposed method can be used in practice.

Suggested Citation

  • Deepak Prajapati & Shuvashree Mondal & Debasis Kundu, 2024. "Two sample Bayesian acceptance sampling plan," Annals of Operations Research, Springer, vol. 340(1), pages 425-449, September.
    • Handle: RePEc:spr:annopr:v:340:y:2024:i:1:d:10.1007_s10479-023-05804-6
    DOI: 10.1007/s10479-023-05804-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-023-05804-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-023-05804-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Huang, Wen-Tao & Lin, Yu-Pin, 2004. "Bayesian sampling plans for exponential distribution based on uniform random censored data," Computational Statistics & Data Analysis, Elsevier, vol. 44(4), pages 669-691, January.
    2. Deepak Prajapati & Sharmistha Mitra & Debasis Kundu, 2019. "A New Decision Theoretic Sampling Plan for Type-I and Type-I Hybrid Censored Samples from the Exponential Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 251-288, December.
    3. 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.
    4. 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.
    5. Chen, Jianwei & Li, Kim-Hung & Lam, Yeh, 2007. "Bayesian single and double variable sampling plans for the Weibull distribution with censoring," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1062-1073, March.
    6. Debasis Kundu, 2013. "Bayesian analysis for partially complete time and type of failure data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(6), pages 1289-1300, June.
    7. Yu-Pin Lin & TaChen Liang & Wen-Tao Huang, 2002. "Bayesian Sampling Plans for Exponential Distribution Based on Type I Censoring Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(1), pages 100-113, March.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Kiran Prajapat & Arnab Koley & Sharmishtha Mitra & Debasis Kundu, 2023. "An Optimal Bayesian Sampling Plan for Two-Parameter Exponential Distribution Under Type-I Hybrid Censoring," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 512-539, February.
    3. Fernández, Arturo J. & Pérez-González, Carlos J. & Aslam, Muhammad & Jun, Chi-Hyuck, 2011. "Design of progressively censored group sampling plans for Weibull distributions: An optimization problem," European Journal of Operational Research, Elsevier, vol. 211(3), pages 525-532, June.
    4. Deepak Prajapati & Sharmistha Mitra & Debasis Kundu, 2019. "A New Decision Theoretic Sampling Plan for Type-I and Type-I Hybrid Censored Samples from the Exponential Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 251-288, December.
    5. 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.
    6. Chen, Jianwei & Li, Kim-Hung & Lam, Yeh, 2007. "Bayesian single and double variable sampling plans for the Weibull distribution with censoring," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1062-1073, March.
    7. Fernández, Arturo J. & Correa-Álvarez, Cristian D. & Pericchi, Luis R., 2020. "Balancing producer and consumer risks in optimal attribute testing: A unified Bayesian/Frequentist design," European Journal of Operational Research, Elsevier, vol. 286(2), pages 576-587.
    8. Fernández, Arturo J., 2017. "Economic lot sampling inspection from defect counts with minimum conditional value-at-risk," European Journal of Operational Research, Elsevier, vol. 258(2), pages 573-580.
    9. Cheng, Yao & Liao, Haitao & Huang, Zhiyi, 2021. "Optimal degradation-based hybrid double-stage acceptance sampling plan for a heterogeneous product," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    10. Zeng, Jing & Wang, Zhenjun & Chen, Guobin, 2021. "Biological characteristics of energy conversion in carbon fixation by microalgae," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).
    11. Ji Hwan Cha & Sophie Mercier, 2022. "Two Reliability Acceptance Sampling Plans for Items Subject to Wiener Process of Degradation," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1651-1668, September.
    12. Lam, Yeh & Li, Kim-Hung & Ip, Wai-Cheung & Wong, Heung, 2006. "Sequential variable sampling plan for normal distribution," European Journal of Operational Research, Elsevier, vol. 172(1), pages 127-145, July.
    13. Arizono, Ikuo & Kawamura, Yuuki & Takemoto, Yasuhiko, 2008. "Reliability tests for Weibull distribution with variational shape parameter based on sudden death lifetime data," European Journal of Operational Research, Elsevier, vol. 189(2), pages 570-574, September.
    14. Fernández, Arturo J., 2015. "Optimum attributes component test plans for k-out-of-n:F Weibull systems using prior information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 688-696.
    15. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
    16. Wu, Chien-Wei & Aslam, Muhammad & Jun, Chi-Hyuck, 2012. "Variables sampling inspection scheme for resubmitted lots based on the process capability index Cpk," European Journal of Operational Research, Elsevier, vol. 217(3), pages 560-566.
    17. Bhattacharya, Ritwik & Pradhan, Biswabrata & Dewanji, Anup, 2015. "Computation of optimum reliability acceptance sampling plans in presence of hybrid censoring," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 91-100.
    18. Carlos Pérez-González & Arturo Fernández, 2013. "Classical versus Bayesian risks in acceptance sampling: a sensitivity analysis," Computational Statistics, Springer, vol. 28(3), pages 1333-1350, June.
    19. Liang, Tachen & Huang, Wen-Tao & Yang, Kun-Cheng, 2008. "Locally optimal tests for exponential distributions with type-I censoring," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3603-3615, March.
    20. Farooq, Muhammad Arsalan & Kirchain, Randolph & Novoa, Henriqueta & Araujo, Antonio, 2017. "Cost of quality: Evaluating cost-quality trade-offs for inspection strategies of manufacturing processes," International Journal of Production Economics, Elsevier, vol. 188(C), pages 156-166.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:340:y:2024:i:1:d:10.1007_s10479-023-05804-6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.