Reliability analysis for systems with self-healing mechanism under two different types of cumulative shocks

ABSTRACT

System with self-healing mechanism has been successfully applied in many practical engineering fields. When we discuss the reliability performance of system subject to shocks, cumulative shocks have the greatest impact on most systems fields such as high-speed railway systems or civil structural components. In the present paper, we deal with two different types of cumulative shock models in discrete time with self-healing effect. We study a system with self-healing mechanism from a reliability point of view under these two shock models. The self-healing system will fail when the cumulative damage effect exceeds the given threshold. In the first model, there are shock events at instant of time $i(i=1,2,\dots )$, while in the second model at some time point there was no shock occurring event. Along with the work in this article, the system reliability formulas and the means and variances of their lifetimes are given under two different types shock models proposed, then simulation methods are adopted to analyze the reliability of the system for the second cumulative model. Finally, numerical examples and future researches are discussed.

KEYWORDS:

• Self-healing mechanism
• cumulative shocks
• damage effect
• system reliability
• lifetime

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China under grants 71871021 and 71631001.

Notes on contributors

Fengming Kang

Fengming Kang received a master's degree in management from Lanzhou Jiaotong University, Lanzhou, China, in 2018. He is currently working toward a Ph.D. degree in management science and engineering in the School of Management and Economics, Beijing Institute of Technology. His research interests include system reliability, quality management and applications of probability.

Lirong Cui

Lirong Cui is a professor in the College of Quality & Standardization at Qingdao University. He received his Ph.D. degree in probability and statistics from the University of Wales, UK, in 1994. He has worked on quality and reliability-related problems since 1986 and published more than 130 papers and technical reports. In 2000, he co-authored a book on reliability published by Kluwer Academic Publishers. He served as an associate editor of IEEE Transactions on Reliability from 2005 to 2015. He currently serves as an associate editor for IISE Transactions and Communications in Statistics: Theory and Methods, Simulation and Computation. In 2005, he was awarded the New Century Excellent Talents in China. His recent research interests are in stochastic modeling, Hawkes processes, quality and reliability engineering, simulation and optimization, operations research, and applications of probability and statistics in various fields.