Optimal allocation of redundancies is one of the most important ways of improving system reliability. Generally, in these redundancy allocation problems, it is assumed that failures of components are independent. However, under this assumption failure rates can be underestimated since failure interactions can significantly affect the performance of systems. In this paper, we first propose an analytical model to describe the failure rates with failure interactions, followed by a modified analytical hierarchy process (MAHP) which is proposed to solve redundancy allocation problems with failure interactions. MAHP decomposes the system into several blocks and deals with those downsized blocks before diving deep into the most appropriate component for redundancy allocation. Being simple and flexible, MAHP provides an intuitive way to design a complex system and the explicit function of the entire system reliability is not required in the proposed approach. More importantly, with the help of the proposed analytical failure interaction model, MAHP can capture the effect of failure interactions. Results from case studies clearly demonstrate the applicability of the analytical model for failure interactions and MAHP for reliability design.
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March 2015
Research-Article
Redundancy Allocation for Reliability Design of Engineering Systems With Failure Interactions
Jing Wang,
Jing Wang
University of Michigan-Shanghai Jiao Tong
University Joint Institute,
e-mail: wangjingsjtu@163.com
University Joint Institute,
Shanghai Jiao Tong University
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: wangjingsjtu@163.com
Search for other works by this author on:
Mian Li
Mian Li
1
University of Michigan-Shanghai Jiao Tong
University Joint Institute,
e-mail: mianli@sjtu.edu.cn
University Joint Institute,
Shanghai Jiao Tong University
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: mianli@sjtu.edu.cn
1Corresponding author.
Search for other works by this author on:
Jing Wang
University of Michigan-Shanghai Jiao Tong
University Joint Institute,
e-mail: wangjingsjtu@163.com
University Joint Institute,
Shanghai Jiao Tong University
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: wangjingsjtu@163.com
Mian Li
University of Michigan-Shanghai Jiao Tong
University Joint Institute,
e-mail: mianli@sjtu.edu.cn
University Joint Institute,
Shanghai Jiao Tong University
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: mianli@sjtu.edu.cn
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 13, 2014; final manuscript received November 25, 2014; published online January 9, 2015. Assoc. Editor: David Gorsich.
J. Mech. Des. Mar 2015, 137(3): 031403 (8 pages)
Published Online: March 1, 2015
Article history
Received:
May 13, 2014
Revision Received:
November 25, 2014
Online:
January 9, 2015
Citation
Wang, J., and Li, M. (March 1, 2015). "Redundancy Allocation for Reliability Design of Engineering Systems With Failure Interactions." ASME. J. Mech. Des. March 2015; 137(3): 031403. https://doi.org/10.1115/1.4029320
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