Abstract

VASQUEZ, Cristián A.; SALINAS-TORRES, Víctor H  and  ROMEO, José S.. Bayesian Estimation of the Limiting Availability in a Repairable One-Unit System. Rev.Colomb.Estad. [online]. 2019, vol.42, n.1, pp.123-142.  Epub May 23, 2019. ISSN 0120-1751.  https://doi.org/10.15446/rce.v42n1.66279.

This work presents a Bayesian approach for estimating the limiting availability of an one-unit repairable system. A Bayesian analysis is developed considering an informative prior and a less informative prior distribution, respectively. Simulations are presented to study the performance of the Bayesian solutions. The maximum likelihood method is also revisited. Finally, a case study is considered, the Bayesian methodology is applied to estimate the limiting availability of a palletizer, which is used in the packaging of glass bottles. Extensions to a coherent system are also discussed.

Keywords : Conjugate analysis; Coherent system; Exponential and Gamma distributions; Generalized Beta distribution.

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