Estimating Reliability of Degradable Computing System using Fuzzy Logic

Conventional reliability theory is based mainly on probist reliability, which uses a binary state assumption and classical probabilistic distributions, which is often inappropriate for handling the uncertainty and imprecision of reasoning processes in real world applications due to lack of sufficient probabilistic information. To overcome this situation, Fuzzy rule based methods have been considered useful in the evaluation of reliability of the system as these methods allow the modeling and computation of the heuristic knowledge and linguistic information. In this paper, a four unit gracefully degradable system is developed and analyzed with respect to the effects of repair and coverage factors on its reliability. On the other hand Markov Model has proven its applicability in handling degradation, multiple-failures, imperfect fault coverage and other sequence dependent events, the reliability of the aforesaid system has been computed by incorporating the features of both Markov and Fuzzy Linguistic Modeling approaches.

[1]  John F. Meyer,et al.  On Evaluating the Performability of Degradable Computing Systems , 1980, IEEE Transactions on Computers.

[2]  H. Ohta,et al.  Fuzzy design for fixed-number life tests , 1990 .

[3]  Barry R. Borgerson,et al.  A Reliability Model for Gracefully Degrading and Standby-Sparing Systems , 1975, IEEE Transactions on Computers.

[4]  R. Chakrabarti,et al.  Fuzzy Markov model for determination of fuzzy state probabilities of generating units including the effect of maintenance scheduling , 2005, IEEE Transactions on Power Systems.

[5]  T. Raz,et al.  Censored life-data analysis using linguistic variables , 1988 .

[6]  Hsien-Chung Wu,et al.  Fuzzy reliability estimation using Bayesian approach , 2004, Comput. Ind. Eng..

[7]  N. McClamroch,et al.  The drilling problem: A stochastic modeling and control example in manufacturing , 1987 .

[8]  Kai Yang,et al.  Upper and lower bounds of stress-strength interference reliability with random strength-degradation , 1997 .

[9]  Balbir S. Dhillon,et al.  Comparisons of block diagram and Markov method system reliability and mean time to failure results for constant and non-constant unit failure rates , 1997 .

[10]  Harley H. Cudney,et al.  Analytical-experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty , 1997 .

[11]  Andrew A. Goldenberg,et al.  Development of a systematic methodology of fuzzy logic modeling , 1998, IEEE Trans. Fuzzy Syst..

[12]  Barry R. Borgerson,et al.  PRIME: a modular architecture for terminal-oriented systems , 1972, AFIPS '72 (Spring).

[13]  M. Tanrioven,et al.  A new approach to real-time reliability analysis of transmission system using fuzzy Markov model , 2004 .

[14]  T. Onisawa,et al.  Reliability and Safety Analyses under Fuzziness , 1995 .

[15]  Cai Kaiyuan,et al.  Fuzzy reliability modeling of gracefully degradable computing systems , 1991 .

[16]  Jerry M. Mendel,et al.  Generating fuzzy rules by learning from examples , 1992, IEEE Trans. Syst. Man Cybern..

[17]  K. E. Bollinger,et al.  Transmission System Reliability Evaluation Using Markov Processes , 1968 .

[18]  Günter Haring,et al.  Performance Evaluation: Origins and Directions , 2000, Lecture Notes in Computer Science.

[19]  Magdi S. Moustafa Reliability analysis of K-out-of-N: G systems with dependent failures and imperfect coverage , 1997 .

[20]  H. Cudney,et al.  Comparison of Probabilistic and Fuzzy Set Methods for Designing under Uncertainty , 1999 .