Burni-in and warranty processes in coherent systems under the general lifetime model / Processos de burn-in e de garantia em sistemas coerentes sob o modelo de tempo de vida geral

AUTOR(ES)

Nelfi Gertrudis Gonzalez Alvarez

DATA DE PUBLICAÇÃO

2009

RESUMO

In this work we consider three main topics. In the first two, we generalize some classical results on Reliability Theory related to the optimization in burn-in procedures and warranty policies, using the general lifetime model of a coherent system observed on the component level and extending the definitions of bathtub shaped failure rate and general failure model to progressively measurable processes under the complete pre-t-history. A monotone stopping rule is applied within the proposed methodology. In the third topic, we define the discounted warranty cost process for a coherent system minimally repaired on the component level and we propose a martingale estimator to the expected warranty cost for a fixed period and setting its asymptotic properties by means of Martingale Central Limit Theorem.

ASSUNTO(S)

semimartingal regular smooth semimartingale sistema coerente general failure model regra de parada monótona bathtub shaped failure rate burn-in reparo mínimo minimal repair monotone stopping rule warranty garantia modelo de falha geral taxa de falha na forma de banheira coherent system burn-in

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