Availability Evaluation of Multi-State Weighted k-out-of-n Systems with Hierarchical Performance Requirements

doi:10.23940/ijpe.19.09.p18.24422452

Abstract

Abstract: The multi-state weighted k-out-of-n system has been widely studied in recent research. In this paper, two improved availability evaluation methods of an extended multi-state weighted k-out-of-n system with hierarchical performance requirements are presented. Such a system is capable of featuring multiple performance requirements at different system hierarchical levels that are not independent of each other, which is more general than the traditional multi-state weighted k-out-of-n system model. To solve the problem of inter-level performance dependencies, a new method combining the universal generating function (UGF) with hierarchical operators is developed to evaluate the system availability. Moreover, a simple recursive algorithm is proposed to reduce the computational complexity to access the lower and upper bounds of availability. Finally, numerical examples and analysis are provided to validate the proposed methods. The results show that the proposed methods are more general and flexible, and they can provide references to designers for the performance improvement of complex systems.

Key words: multi-state system, availability, universal generating function, recursive algorithm

Jing Li, Guangyu Chen, Lin Tang, and Xinyu Yang. Availability Evaluation of Multi-State Weighted k-out-of-n Systems with Hierarchical Performance Requirements [J]. Int J Performability Eng, 2019, 15(9): 2442-2452.

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