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Optimum Life Test Plans in Presence of Type-I Hybrid Censoring for Products Sold under General Rebate Warranty

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

The selection of an appropriate life test plan is extremely important for any product as it not just improves quality of the product but also reduces testing costs. In this approach however, the choice of suitable costs plays an important role. In this paper, a decision model is developed to determine optimal life testing plan by minimizing the relevant costs involved for non-repairable products sold under general rebate warranty. The life testing plan is developed in presence of Type-I hybrid censoring for products having Weibull distributed lifetimes. A constrained optimization approach is followed considering both producer’s and consumer’s risk and suitable analysis techniques are employed in obtaining the optimal solution. Monte Carlo simulation is conducted in order to illustrate that the specific risks (producer’s and consumer’s risk) are met. In order to study 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 Type-I hybrid censored data set.

Suggested Citation

  • 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.
    • Handle: RePEc:iik:wpaper:280
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
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