Reliability Analysis of Unrepairable Warm Standby Systems Mixed With Randomness and Fuzziness

As the manufacturing industry competition intensifies, the manufacturers need more reliable production equipment, especially those key production processes, often need to use redundant configuration. Warm standby is one of the redundant techniques widely used to improve system reliability. But in practice, warm standby systems become more and more complex, and sometimes randomness and fuzziness are merged with each other in one warm standby system. So in this paper, the lifetimes of components in operation and in warm standby are assumed to have random fuzzy exponential distributions. Based on that, two mathematical models of unrepairable warm standby systems consisting of two dissimilar components are established. Moreover, the expressions of reliability and mean time to failure (MTTF) are presented for each unrepairable warm standby systems, respectively. Finally, some numerical examples are presented.