Multi-state balanced systems in a shock environment
Multi-state balanced systems in a shock environment
复制标题
冲击环境下的多状态平衡系统
DOI：
10.1016/j.ress.2019.106592
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发表时间：
2020-01
影响因子：
8.1
通讯作者：
Fan Yu
中科院分区：
文献类型：
--
作者：
Zhao Xian;Wang Siqi;Wang Xiaoyue;Fan Yu
平衡系统的可靠性分析已成为一个重要的研究课题。在以前的研究中，平衡系统只有两个状态，即，完美的运作和彻底的失败。然而，由于系统结构复杂，工作环境复杂，实际系统中大多数都存在两种以上的状态。为了填补这一研究空白，考虑到系统中的部件和整个系统都具有多个状态，提出了一种一般的多状态平衡系统。在本文中，组件的状态转换被假定为引起外部冲击。在各部件运行状态的基础上，根据不同的系统平衡度确定系统的多个状态，并由平衡函数公式化。基于两个特定的平衡函数，详细构造了基于状态距离和对称状态距离的多状态平衡系统。采用两步有限马尔可夫链嵌入法，导出了相应的状态概率函数和其它可靠性指标。最后给出了数值算例，并对今后的研究方向进行了展望.
Reliability analysis of balanced systems has become an important research topic. In previous studies, a balanced system only has two states, i.e., perfect functioning and complete failure. However, most practical systems have more than two states because of the complex system structure and complicated working environment. To fill in this research gap, a general multi-state balanced system is proposed by considering that the components in the system and the whole system both have multiple states. In this paper, component state transitions are assumed to be caused by external shocks. Based on the operating states of all components, the multiple states of the system are determined according to different system balance degrees, formulated by a balance function. Multi-state balanced systems based on state distance and symmetric state distance are constructed in detail based on two specific balance functions. The corresponding state probability functions and some other reliability indexes are derived by using a two-step finite Markov chain imbedding approach. Finally, numerical examples are presented and some future research topics are discussed.
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