Binary-state and component independent assumptions will lead to doubtful and misleading redundancy allocation schemes which may not satisfy the reliability requirements for real engineering applications. Most published works proposed methods to remove the first assumption by studying the degradation cases where multiple states of a component are from the best state to the degradation states then to the completely failed state. Fewer works focused on removing the second assumption and they only discussed dependent failures which are only a special case of component dependency. This work uses the Semi-Markov process to describe a two-component system for redundancy allocation. In this work, multiple states of a component are represented by multiple output levels, which are beyond the scope of degradation, and the component dependency is not limited to failure dependency only. The load sharing is also taken care of in the proposed work. The optimal redundancy allocation scheme is obtained by solving the corresponding redundancy allocation optimization problem with the reliability measure, the system availability, obtained through the Semi-Markov process model being constraint. Two case studies are presented, demonstrating the applicability of the propose method.
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November 2016
Research-Article
Redundancy Allocation for Multistate Systems With Component Dependencies and Load Sharing
Jing Wang,
Jing Wang
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
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Mian Li
Mian Li
Associate Professor
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
Search for other works by this author on:
Jing Wang
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
Mian Li
Associate Professor
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: mianli@sjtu.edu.cn
University of Michigan—Shanghai Jiao Tong
University Joint Institute,
Shanghai Jiao Tong University,
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 February 17, 2016; final manuscript received July 1, 2016; published online September 12, 2016. Assoc. Editor: Samy Missoum.
J. Mech. Des. Nov 2016, 138(11): 111403 (10 pages)
Published Online: September 12, 2016
Article history
Received:
February 17, 2016
Revised:
July 1, 2016
Citation
Wang, J., and Li, M. (September 12, 2016). "Redundancy Allocation for Multistate Systems With Component Dependencies and Load Sharing." ASME. J. Mech. Des. November 2016; 138(11): 111403. https://doi.org/10.1115/1.4034108
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