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Availability equivalence factors of a general repairable series-parallel system
Ammar M. Sarhan,Abdelfatth Mustafa 한국신뢰성학회 2013 International Journal of Reliability and Applicati Vol.14 No.1
The availability equivalence factors of a general repairable series-parallel system is discussed in this paper based on the availability function of the system. The system components are assumed to be repairable and independent but not identical. The life and repair times of the system components are exponentially distributed with different parameters. Two types of availability equivalent factors of the system are derived. The results derived in this paper generalizes those given in the literature. A case study is introduced to illustrate how the idea of this work can be applied.
Parameter Estimations in the Complementary Weibull Reliability Model
Sarhan Ammar M.,El-Gohary Awad The Korean Reliability Society 2005 International Journal of Reliability and Applicati Vol.6 No.1
The Bayes estimators of the parameters included in the complementary Weibull reliability model are obtained. In the process of deriving Bayes estimators, the scale and shape parameters of the complementary Weibull distribution are considered to be independent random variables having prior exponential distributions. The maximum likelihood estimators of the desired parameters are derived. Further, the least square estimators are obtained in closed forms. Simulation study is made using Monte Carlo method to make a comparison among the obtained estimators. The comparison is made by computing the root mean squared errors associated to each point estimation. Based on the numerical study, the Bayes procedure seems better than the maximum likelihood and least square procedures in the sense of having smaller root mean squared errors.
Reliability Equivalence Factors of a Bridge Network System
Sarhan, Ammar M. The Korean Reliability Society 2004 International Journal of Reliability and Applicati Vol.5 No.2
Improvements of a bridge network system are studied in this paper. Then equivalence between different improved designs of the bridge network system is discussed. Three different methods are used to get different better designs of the network in the sense of having higher reliability and mean time to failure. Then two different types of reliability equivalence factors of the system are derived. It is assumed here that the failure rates of the system's components are identical and constant. The reliability functions and mean time to failure of the original and improved designs of the network are derived. Comparison between the mean time to failures of the original system and improved designs of the system are presented. Numerical studies and conclusion are presented in order to explain how one can apply the the theoretical results obtained.
Availability equivalence factors of a general repairable series-parallel system
Sarhan, Ammar M.,Mustafa, Abdelfatth The Korean Reliability Society 2013 International Journal of Reliability and Applicati Vol.14 No.1
The availability equivalence factors of a general repairable series-parallel system is discussed in this paper based on the availability function of the system. The system components are assumed to be repairable and independent but not identical. The life and repair times of the system components are exponentially distributed with different parameters. Two types of availability equivalent factors of the system are derived. The results derived in this paper generalizes those given in the literature. A case study is introduced to illustrate how the idea of this work can be applied.
Estimations of the Parameters in a Two-component System Using Dependent Masked Data
Sarhan Ammar M. The Korean Reliability Society 2005 International Journal of Reliability and Applicati Vol.6 No.2
Estimations of the parameters included in a two-component system are derived based on masked system life test data, when the probability of masking depends upon the exact cause of system failure. Also estimations of reliability for the individual components at a specified mission time are derived. Maximum likelihood and Bayes methods are used to derive these estimators. The problem is explained on a series system consisting of two independent components each of which has a Pareto distributed lifetime. Further we present numerical studies using simulation.