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

Chakrabarty Jimut Bahan (), Chowdhury Shovan () and Roy Soumya ()
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Chakrabarty Jimut Bahan: Indian Institute of Management Kozhikode
Chowdhury Shovan: Indian Institute of Management Kozhikode
Roy Soumya: Indian Institute of Management Kozhikode

No 302, Working papers from 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.

Keywords: Life testing plan; Weibull distribution; Type-I generalized hybrid censoring; General rebatewarranty; Constrained optimization. (search for similar items in EconPapers)
Pages: 23 pages
Date: 2019-01
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Citations: View citations in EconPapers (1)

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