Arithmetic Reduction of Intensity or Age Models with Bathtub Failure Intensity  

作　　者：Makram Krit Abdelwaheb Rebai 

机构地区：[1]Higher Institute of Companies Administration, Gafsa 2133, Tunisia

出　　处：《Computer Technology and Application》2011年第1期15-23,共9页计算机技术与应用（英文版）

摘　　要：In this paper, the authors will study the estimation of maintenance efficiency in Arithmetic Reduction of Intensity （ARI） and Arithmetic Reduction of Age （ARA） models with a memory m. These models have been proposed by Doyen （2005）, the failure process is simply Non Homogeneous Poisson Process （NHPP）. Our models are defined by reformulation of ARI and ARA ones using bathtub failure intensity. This form is presented like a superposition of two NHPP and Homogeneous Poisson Process （HPP）. Moreover, the particularity of this model allows taking account of system state improvement in time course. The maintenance effect is characterized by the change induced on the failure intensity before and after failure during degradation period. To simplify study, the asymptotic properties of failure process are derived. Then, the asymptotic normality of several maintenance efficiency estimators can be proved in the case where the failure process without maintenance is known. Practically, the coverage rate of the asymptotic confidence intervals issued from those estimators is studied.

关 键 词：Repairable systems reliability bathtub failure intensity imperfect repair maintenance homogeneous poisson process（HPP） non homogeneous poisson process （NHPP） estimation likelihood. 

分 类 号：O211.6[理学—概率论与数理统计] TH166[理学—数学]