REPAIR EFFICIENCY ESTIMATION IN THE ARI₁ IMPERFECT REPAIR MODEL

Abstract

The aim of this paper is to study the estimation of repair efficiency in an imperfect repair model, called Arithmetic Reduction of Intensity model with memory one (ARI 1 ). This model, first introduced by Doyen and Gaudoin, has a very simple failure intensity and repair efficiency is characterized by a single parameter. Thanks to that simplicity, the asymptotic almost sure behavior of the failure and cumulative failure intensities of ARI 1 model can be derived. Then, the almost sure convergence and asymptotic normality of several estimators (including maximum likelihood) of repair efficiency can be proved in the case where the wear out process without repair is known. The influence of the number of observed failures on the quality of the repair efficiency estimation is empirically studied. Finally, results are applied to a real maintenance data set.

Fuzzy Activity Based Life Cycle Costing For Repairable Equipment

“…The number of failure for repairable system depends on the repair assumption taken. For repairable systems, generally there are two main repair assumptions, either "as good as new" or "as bad as old", but in actual practice the equipment lies somewhere in between these two conditions which is "better than old, but worse than new" [14]. Kijima and Sumita suggested a new approach called general renewal process (GRP) which is capable to cover all the three possible repair assumptions of repairable system [15].…”

Impact of Different Repair Assumptions on Repairable System Risk Assessment

“…A system failing to perform its functions can be restored to its original working condition by doing maintenance action is known as a repairable system (Lindqvist, 1999(Lindqvist, , 2006. For repairable systems, generally there are two main repair assumptions, either "as good as new" or "as bad as old", but in reality the equipment lies somewhere in between these two conditions, which is called as imperfect repair or "better than old, but worse than new" (Doyen, 2005). The first two extreme assumptions for the repair were discussed by many researchers, are found not much practicable.…”