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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 156059, 11 pages
Research Article

Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System

1College of Science, Yanshan University, Qinhuangdao 066004, China
2School of Economics and Management, Yanshan University, Qinhuangdao 066004, China

Received 27 January 2015; Revised 12 April 2015; Accepted 15 April 2015

Academic Editor: Victor S. Kozyakin

Copyright © 2015 Linmin Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers a repairable multistate series-parallel system (RMSSPS) with fuzzy parameters. It is assumed that the system components are independent, and their state transition rates and performance rates are fuzzy values. The fuzzy universal generating function technique is adopted to determine fuzzy state probability and fuzzy performance rate of the system. On the basis of α-cut approach and the extension principle, parametric programming technique is employed to obtain the α-cuts of some indices for the system. The system fuzzy availability is defined as the ability of the system to satisfy fuzzy consumer demand. A special assessment approach is developed for evaluating the fuzzy steady-state availability of the system with the fuzzy demand. A flow transmission system with three components is presented to demonstrate the validity of the proposed method.