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Optimum life testing plans in presence of hybrid censoring: A cost function approach

Author

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  • R. Bhattacharya
  • B. Pradhan
  • A. Dewanji

Abstract

Hybrid censoring scheme is a combination of Type‐I and Type‐II censoring schemes. Determination of optimum hybrid censoring scheme is an important practical issue in designing life testing experiments to enhance the information on reliability of the product. In this work, we consider determination of optimum life testing plans under hybrid censoring scheme by minimizing the total cost associated with the experiment. It is shown that the proposed cost function is scale invariant for some selected distributions. Optimum solution cannot be obtained analytically. We propose a method for obtaining the optimum solution and consider Weibull distribution for illustration. We also studied the sensitivity of the optimal solution to the misspecification of parameter values and cost components through a well‐designed sensitivity analysis. Copyright © 2013 John Wiley & Sons, Ltd.

Suggested Citation

  • R. Bhattacharya & B. Pradhan & A. Dewanji, 2014. "Optimum life testing plans in presence of hybrid censoring: A cost function approach," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 30(5), pages 519-528, September.
    • Handle: RePEc:wly:apsmbi:v:30:y:2014:i:5:p:519-528
    DOI: 10.1002/asmb.1997
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    Cited by:

    1. 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.
    2. Jimut Bahan Chakrabarty & Soumya Roy & Shovan Chowdhury, 2019. "Optimum accelerated life test sampling plans for Type-I hybrid censored Weibull distributed products sold under general rebate warranty," Working papers 349, Indian Institute of Management Kozhikode.
    3. 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.
    4. Ritwik Bhattacharya, 2020. "Implementation of compound optimal design strategy in censored life-testing experiment," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1029-1050, December.
    5. Ritwik Bhattacharya & Biswabrata Pradhan, 2017. "Computation of optimum Type-II progressively hybrid censoring schemes using variable neighborhood search algorithm," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(4), pages 802-821, December.
    6. Tanmay Sen & Yogesh Mani Tripathi & Ritwik Bhattacharya, 2018. "Statistical Inference and Optimum Life Testing Plans Under Type-II Hybrid Censoring Scheme," Annals of Data Science, Springer, vol. 5(4), pages 679-708, December.
    7. Ritwik Bhattacharya & Baidya Nath Saha & Graceila González Farías & Narayanaswamy Balakrishnan, 2020. "Multi-criteria-based optimal life-testing plans under hybrid censoring scheme," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 430-453, June.

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