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Advances in Mathematical Physics
Volume 2015, Article ID 183758, 10 pages
Research Article

System Reliability Evaluation Based on Convex Combination Considering Operation and Maintenance Strategy

Lijie Li,1,2 Limin Jia,1,2 and Yanhui Wang1,2

1State Key Laboratory of Railway Traffic Control & Safety, Beijing Jiaotong University, Beijing 100044, China
2School of Traffic Transportation, Beijing Jiaotong University, Beijing 100044, China

Received 27 June 2015; Revised 2 October 2015; Accepted 13 October 2015

Academic Editor: Shinji Tsujikawa

Copyright © 2015 Lijie Li 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.


The approaches to the system reliability evaluation with respect to the cases, where the components are independent or the components have interactive relationships within the system, were proposed in this paper. Starting from the higher requirements on system operational safety and economy, the reliability focused optimal models of multiobjective maintenance strategies were built. For safety-critical systems, the pessimistic maintenance strategies are usually taken, and, in these cases, the system reliability evaluation has also to be tackled pessimistically. For safety-uncritical systems, the optimistic maintenance strategies were usually taken, and, in these circumstances, the system reliability evaluation had also to be tackled optimistically, respectively. Besides, the reasonable maintenance strategies and their corresponding reliability evaluation can be obtained through the convex combination of the above two cases. With a high-speed train system as the example background, the proposed method is verified by combining the actual failure data with the maintenance data. Results demonstrate that the proposed study can provide a new system reliability calculation method and solution to select and optimize the multiobjective operational strategies with the considerations of system safety and economical requirements. The theoretical basis is also provided for scientifically estimating the reliability of a high-speed train system and formulating reasonable maintenance strategies.