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Optimum accelerated life test sampling plans for Type-I hybrid censored Weibull distributed products sold under general rebate warranty

Author

Listed:
  • Jimut Bahan Chakrabarty

    (Indian Institute of Management Kozhikode)

  • Soumya Roy

    (Indian Institute of Management Kozhikode)

  • Shovan Chowdhury

    (Indian Institute of Management Kozhikode)

Abstract

In order to reduce avoidably lengthy duration required to test highly reliable products underusage stress, accelerated life test sampling plans are employed. In this paper, accelerated life test samplingplans (ALTSP) are developed for Type-I hybrid censored products sold under the general rebate warranty.The primary decision model proposed in this paper determines ALTSP by minimizing the relevant costsinvolved. The optimal solution is attained by utilizing appropriate analysis techniques following a constrainedoptimization approach. As a special case, ALTSP for Type-I censoring is obtained using the same approach.ALTSP under Type-I hybrid censoring using the variance minimization method is also derived. A well-designed sensitivity analysis is incorporated using a real-life failure dataset pertaining to low-metallic break-pads to analyze the sensitivity of the optimal solution due to the mis-specification of parameter values. Themodel is exemplified using a real-life case.

Suggested Citation

  • 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.
    • Handle: RePEc:iik:wpaper:349
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Uditha Balasooriya & Sutaip L. C. Saw, 1998. "Reliability sampling plans for the two-parameter exponential distribution under progressive censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(5), pages 707-714, June.
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    Cited by:

    1. Tanmay Sen & Ritwik Bhattacharya & Biswabrata Pradhan & Yogesh Mani Tripathi, 2020. "Determination of Bayesian optimal warranty length under Type-II unified hybrid censoring scheme," Papers 2004.08533, arXiv.org.

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