FORECASTING AVAILABILITY OF A STANDBY SYSTEM USING FUZZY TIME SERIES
Keywords:
Forecasting, Fuzzy Time Series, Availability, Linguistic Values, Historical Data, FuzzificationAbstract
Inthis paper, the fuzzy time series is applied to forecast the availability of a standby system incorporating waiting time to repair. In doingso, a fuzzy time series model is developed using historical data. Fuzzy time series is an effective tool to deal with problems when historical data are linguistic values. A complete procedure isproposed which includes: fuzzifying the historical data, developing a fuzzy time series model, and calculating and interpreting theoutputs. A numerical example is presented to illustrate the utility of the model
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References
Aliev, I. M. and Kara, Z. (2004). Fuzzy system reliability analysis using time
dependent fuzzy set, Control and Cybernetics, 33(4), p. 653-662.
Azaron, A., Katagiri, H., Kato, K. andSakawa, M. (2005). Reliability
evaluation and optimization of dissimilar-component cold-standby redundant
systems.Journal of the Operations Research Society of Japan-Keiei Kagaku,
(1), p. 71-88.
Biswas, R. (2007). A soft-computing method for system reliability, Voyager -
The Journal of Computer Science and Information Technology, 5(1), p. 1-7.
Chandna, R. and Ram, M. (2013). Fuzzy reliability modeling in the system
failure rates merit context, International Journal of System Assurance
Engineering and Management, DOI:10.1007/s13198-013-0152-y.
Chen, S.-M. (2003). Analyzing fuzzy system reliability using Vague set
theory, International Journal of Applied Science and Engineering, 1, 82-88.
Gupta, P. P. and Agarwal, S. C. (1984). A parallel redundant complex system
with two types of failure under preemptive-repeat repair discipline.
Microelectronics Reliability, 24(3), p. 395-399.
Lee, M. H., Nor, M. E., Suhartono, Sadaei, H. J., Rahman, N. H. A. and
Kamisan, N. A. B. (2012). Fuzzy Time Series: An Application to Tourism
Demand Forecasting, American Journal of Applied Sciences, 9(1), p. 132-140.
Levitin, G. and Amari, S. V. (2008). Multi-state systems with multi-fault
coverage.Reliability Engineering & System Safety, 93(11), p. 1730-1739.
Li, S. T. and Cheng, Y.-C. (2007). Deterministic fuzzy time series model for
forecasting enrollments, Computers and Mathematics with Applications, 53, p.
–1920.
Radmehr, F. andGharneh, N. S. (2012). Forecasting method based on high
order fuzzy time series and simulated annealing technique, South African
Journal of Industrial Engineering, 23(2), p. 176-190.
Ram, M. and Chandna, R. (2013). Fuzzy system availability analysis with
different membership functions of system failure mode, Engineering and
Automation Problems, p. 44-50.
Ram, M., Singh, S. B. and Singh, V. V. (2013). Stochastic analysis of a
standby system with waiting repair strategy,IEEE Transactions on Systems
Man & Cybernetics: Systems, 43(3), p. 698-707.