Affiliations: College of Computer Sciences and Information Engineering, Tianjin University of Science and Technology, Dagu Nanlu, Hexi District, Tianjin, China
Note: [] Corresponding author. Ying Liu, College of Computer Sciences and Information Engineering, Tianjin University of Science and Technology, No. 1038 Dagu Nanlu, Hexi District, 300222 Tianjin, China. E-mails: [email protected] (Ying Liu); [email protected] (Xiaozhong Li); [email protected] (Ziping Du).
Abstract: The repairable parallel system is an essential part of the maintenance support for high technology systems. The uncertain lifetimes and repair times of repairable parallel systems are usually treated as the stochastic variables, which have crisp parameters. However, in practice, the parameters may not be precisely represented due to lack of sufficient data. So in this paper, the lifetime and repair time of each component are assumed to have random fuzzy exponential distributions. Then a mathematical model of random fuzzy repairable parallel system composed by two non-identical components and one repair facility is established. Furthermore, the expressions of limiting availability and steady state failure frequency of the random fuzzy repairable parallel system are proposed, respectively. Finally, a numerical example is presented.
Keywords: Limiting availability, steady state failure frequency, parallel system, repairable system, random fuzzy variable
