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Reliability Evaluation of Uncertain Multi-State Systems based on Weighted Universal Generating Function

Volume 15, Number 1, January 2019, pp. 167-178
DOI: 10.23940/ijpe.19.01.p17.167178

Wenjie Dong, Sifeng Liu, Zhigeng Fang, and Yingsai Cao

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Jiangsu, 211106, China

(Submitted on October 21, 2018; Revised on November 17, 2018; Accepted on December 12, 2018)


Universal generating function (UGF) is a basic and important technology in the reliability evaluation of multi-state systems (MSSs). It has been widely noticed by reliability scholars and engineers since its introduction. In the process of reliability evaluation of MSSs with UGF, universal generating operators play a great role in synthesizing the system output performance rate. For many uncertain MSSs in actual engineering, when the connection structure between components is unknown and/or the performance relationship is unclear, the definition of the weighted universal generating function is proposed. By designing reliability evaluation indices and constructing a weighted universal generating function of MSSs, reliability parameters of MSSs can be evaluated. A real case of steam turbine power generation system in a repairable naval equipment system is conducted to illustrate the applications.


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