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| 一种基于时序概率矩阵的简化GO-FLOW可靠度计算新方法 |
| A New Simplified GO-FLOW Reliability Quantitative Calculation Methodology Based on Time-series Probability Matrix |
| 投稿时间：2024-02-27 修订日期：2024-04-02 |
| DOI： |
| 中文关键词: GO-FLOW法 可靠性分析 时序概率矩阵 共有信号 |
| 英文关键词: GO-FLOW methodology reliability analysis time-series probability matrix shared signal |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| GO-FLOW法是一种可以评估多时序系统与多阶段任务的可靠性分析方法，但其计算过程较为复杂繁琐。为此本文提出了一种简化的GO-FLOW可靠度计算新方法。首先引入了时序概率矩阵与时序联合概率矩阵的概念，从矩阵运算的角度推导了常用操作符的运算规则；其次针对具有多时序特点的系统，提出一种适用于GO-FLOW的共有信号修正方法；最后通过算例证明了简化GO-FLOW计算新方法和共有信号修正方法的有效性。研究表明，新方法不仅能够直观全面地表示系统在各时间点的状态，且易于编程，在简化运算流程、缩短分析时间与提高效率等方面具有优势。 |
| 英文摘要: |
| GO-FLOW methodology is a reliability analysis method that can evaluate multi-temporal systems with multi-stage tasks, but its calculation process is relatively complex and cumbersome. This article proposes a simplified GO-FLOW reliability calculation method. Firstly, the concepts of temporal probability matrix and temporal joint probability matrix were introduced, and the operation rules of commonly used operators were derived from the perspective of matrix operations; Secondly, a common signal correction method suitable for GO-FLOW is proposed for systems with multiple temporal characteristics; Finally, the effectiveness of the new simplified GO-FLOW calculation method and the common signal correction method was demonstrated through numerical examples. Research has shown that the new method not only intuitively and comprehensively represents the state of the system at various time points, but is also easy to program, and has advantages in simplifying computational processes, shortening analysis time, and improving efficiency. |
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