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Optimum life test plan for products sold under warranty having Type-I generalizedhybrid censored Weibull distributed lifetimes

Author

Listed:
  • Jimut Bahan Chakrabarty

    (Indian Institute of Management Kozhikode)

  • Shovan Chowdhury

    (Indian Institute of Management Kozhikode)

  • Soumya Roy

    (Indian Institute of Management Kozhikode)

Abstract

In order to ensure maintenance of a certain quality level for a product, choosing a suitable life test plan is immensely essential. Since life testing includes as well as impacts various costs, it is important to design a life testing plan incorporating the relevant costs. In this paper, a model is proposed to obtain an optimal life testing plan for non-repairable products sold under general rebate warranty. The proposed model determines the optimal plan by minimizing the suitable costs involved. Type-I generalized hybrid censoring setup for products having Weibull distributed lifetimes is considered for the model presented. Considering both producer’s and consumer’s risk, a constrained optimization approach is followed and appropriate analysis techniques are employed in obtaining the optimal solution. An extensive simulation study is performed for numerical illustration. In order to analyze the sensitivity of the optimal solution due to mis-specification of parameter values and cost components, a well designed sensitivity analysis is incorporated using parameter estimates from real life hybrid censored data set.

Suggested Citation

  • Jimut Bahan Chakrabarty & Shovan Chowdhury & Soumya Roy, 2019. "Optimum life test plan for products sold under warranty having Type-I generalizedhybrid censored Weibull distributed lifetimes," Working papers 302, Indian Institute of Management Kozhikode.
    • Handle: RePEc:iik:wpaper:302
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    References listed on IDEAS

    as
    1. B. Chandrasekar & A. Childs & N. Balakrishnan, 2004. "Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(7), pages 994-1004, October.
    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. A. Childs & B. Chandrasekar & N. Balakrishnan & D. Kundu, 2003. "Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 319-330, 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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