Abstract
In a multi-state system with common bus performance sharing, the residual performance of any sub-unit can be shared to other sub-units with insufficient performance by the common bus with stochastic sharing capacity. This study extends the reliability evaluation model by considering both the minimum and maximum requirements of elements, which should not only meet the random minimum requirements of each single element, but also require that there should be no excess performance. The reliability of the multi-state system (MSS) is estimated by using the Universal Generating Function (UGF) technique. Illustrative example is presented to illustrate the procedures. In addition, the genetic operator is used to obtain the optimal location of the components with maximum reliability.
Highlights
A system is usually composed of some components with different functions (Gao and Yan et al, 2021; Gao and Yan et al, 2019; Gao and Peng et al, 2020)
In order to meet the common needs of the whole system, The multi-state system (MSS) whose performance can be shared by the common bus system is proposed, where a multi-state unit (MSU) with finite performance intensity can transmit performance through the sharing mechanism (Levitin, 2011)
If the performance of a unit is surplus after meeting its own demand, the common bus can transmit the excess performance to other units which cannot meet their demand by their own performances through, in order to improve the reliability of the system (Zhai and Ye et al, 2017; Cheng and Yang et al, 2020; Su and Wang et al, 2020)
Summary
A system is usually composed of some components with different functions (Gao and Yan et al, 2021; Gao and Yan et al, 2019; Gao and Peng et al, 2020). To address the effect of the performance excess in MSS reliability analysis, this paper extends the MSS reliability model considering common bus performance sharing mechanism. The system reliability needs to meet the random minimum demand of a single element, and that the entire system or components cannot have excess performance. Yu et al (2018) adopted genetic algorithm to optimize the positioning of components when evaluating the reliability of a non-repairable performance sharing system with a common bus. 2. The model of a MSS with common bus performance sharing considering performance excess. The reliability of the MSS will be estimated as the probability of neither performance deficiency nor performance excess, that is
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