Modeling and Analysis of the Exponential Unit with General Repair

Author:

Liu Tian Hua1,Zhang Zhi Hua1,Wang Rui1,Zhong Qiang Hui1

Affiliation:

1. Naval University of Engineering

Abstract

As to the fact that the common model of repair does not suit for the immemorial exponential unit, it first proposes the general repair model based on the Repair Degree. This model can describe the repair effect of the exponential unit exactly. Then it studies the classical estimation method of the parameters for the Repair Degree as well as the Failure Rate in the condition of general repair, that’s Moment Estimation and Maximum Likelihood Estimation. On this foundation, it compares the two methods by large amount of simulative data. Further, it figures out the estimation value of the Failure Rate on the assumption of ‘As Good As new after repair’. There exists apparent difference from the exact value. So it shows that the assumption of ‘As Good As new after repair’ is not appropriate.

Publisher

Trans Tech Publications, Ltd.

Reference11 articles.

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2. Brown M, Proschan. F. Imperfect repair. J App. Prob. 1983; 20: 851-9.

3. Chen Fengteng, Zuo Hongfu, Ni Xianzun. Demand and application of Aero-spare parts based on Generalized Renewal Process [J]. Journal of Applied Science, 2007, 25(5): 526-530.

4. Jayabalan,V. and Chaudhuri,D. Optimal maintenance and replacement policy for a deteriorating system with increased mean downtime, Naval Research Logistics, 1992, 39: 67~78.

5. Chan J.K., Shaw,L. Modeling repairable systems with failure rates that depend on age and maintenance, IEEE Transactions on Reliability, 1993, 42: 566~570.

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