一个新的混合 δ 冲击模型,改变了冲击分布
Stathis Chadjiconstantinidis1, Altan Tuncel2, Serkan Eryilmaz3
1Department of Statistics and Insurance Science, University of Piraeus, Piraeus, Greece.
概括
本研究引入了一个新的变化点模型,用于在冲击序列下的系统可靠性. 它在离散和连续冲击时间分布下分析系统故障,提供基于矩阵的可靠性表达式.
科学领域:
- 可靠性工程可靠性工程
- 可能性理论概率理论.
- 随机过程 随机过程
背景情况:
- 系统经常受到随机冲击的序列.
- 在这些条件下了解系统故障对于设计和维护至关重要.
- 现有的模型可能无法捕捉冲击行为的突然变化.
研究的目的:
- 为了研究受到冲击序列的系统的可靠性特性.
- 介绍和分析一个新的变化点模型,用于冲击大小.
- 在不同的冲击间时间分布下确定系统生存函数.
主要方法:
- 开发一种新的变化点模型,在关键冲击后冲击分布发生变化.
- 系统故障条件的分析:在值以下的冲击之间的时间或在值以上的单次冲击强度.
- 对于离散和连续的冲击间时间分布来说,生存函数的导出.
主要成果:
- 该研究为分析动态冲击环境下的系统可靠性提供了一个框架.
- 基于矩阵的表达式在离散 (矩阵-几何) 和连续 (矩阵-指数) 情况下都用于可靠性计算.
- 该模型捕捉了关键冲击事件对系统退化的影响.
结论:
- 拟议的变化点模型提供了一种更现实的方法,用于在冲击下分析系统可靠性.
- 衍生出的基于矩阵的表达式有助于对系统存活概率进行定量评估.
- 这项研究通过为复杂的冲击环境提供新的分析工具,为可靠性工程领域做出了贡献.
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