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Degradation and Reliability Modeling of Two-Component System with Degradation Rate Interaction

Volume 14, Number 11, November 2018, pp. 2711-2722
DOI: 10.23940/ijpe.18.11.p17.27112722

Zhiyuan Yanga, Jianmin Zhaoa, Chiming Guoa, and Liying Lib

aDepartment of Management Engineering, Shijiazhuang Branch, Army Engineering University, Shijiazhuang, 050000, China
bCollege of Information, Hebei University of Science and Technology, Shijiazhuang, 050000, China

(Submitted on August 10, 2018; Revised on September 7, 2018; Accepted on October 21, 2018)


The stochastic dependency, which has a significant impact on degradation and reliability modeling, exists in many complex systems. The stochastic dependency is analyzed from a degradation processes interaction perspective in this paper. For a two-component system, a degradation rate interaction model is developed to describe the dependency between the degradations of two components with a nonlinear Wiener process. This is achieved by considering that the degradation rate of a component is affected by the degradation state of the other component in the proposed system. Then, the parameter estimation approach is given, and the reliability models of the components and system are derived. Finally, a numerical example about fatigue crack development is presented to validate the developed models. Moreover, a comparison study with some present models is taken to show the performance of the developed degradation and reliability models.


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