Abstract Research on reliability modeling and assessment for balanced systems has been getting increased attention in the field of reliability and engineering due to its developments both in theory and applications. In existing research on balanced systems, forcing down and resuming units are two main ways to rebalance the system after unit failures and they are assumed to be perfectly accomplished. In this paper, two restricted rebalanced mechanisms are proposed by considering random failures of unit forced-down function and resumed function respectively with the intent of modelling actual engineering situations. Based on the two restricted rebalanced mechanisms, corresponding new balanced systems are constructed respectively. The operation mechanisms and system failure criteria of the new models are different from those of existing models. A Markov process imbedding approach is employed to analyze the system reliability and derive related probabilistic indices of the proposed models. Case studies have served the purpose to present the applicability of the new balanced systems with restricted rebalanced mechanisms and the effectiveness of the proposed approach.

中文翻译：

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具有受限再平衡机制的平衡系统的可靠性评估

摘要 平衡系统可靠性建模与评估的研究由于其理论和应用的发展，越来越受到可靠性和工程领域的关注。在平衡系统的现有研究中，强制关闭和恢复单元是在单元故障后重新平衡系统的两种主要方法，并且假设它们可以完美完成。在本文中，为了模拟实际工程情况，分别考虑单元强制停机功能和恢复功能的随机故障，提出了两种受限再平衡机制。在这两种受限再平衡机制的基础上，分别构建了相应的新平衡系统。新机型的运行机制和系统故障标准与现有机型不同。采用马尔可夫过程嵌入方法来分析系统可靠性并推导出所提出模型的相关概率指标。案例研究的目的是展示具有受限再平衡机制的新平衡系统的适用性以及所提议方法的有效性。