双重不确定冷贮备系统的可靠性分析

运用不确定理论研究了无充足样本的冷贮备冗余系统。假设系统所有元件的寿命服从具有不确定参数且相互独立的不确定分布,基于可靠度函数和平均寿命建立了3类冗余系统可靠性的数学模型:转换开关完全可靠型、转换开关离散型、转换开关连续型的冷贮备系统。此外,针对元件寿命为独立同分布的特殊情况进行了分析,给出数值算例,进一步印证模型的合理性。

Reliability analysis of bi-uncertain cold standby systems

The cold standby redundancy systems with inadequate samples are investigated based on the uncertainty theory. The lifetimes of system elements are assumed to have independent and non-identical uncertainty distributions with uncertain parameters. Three basic models, including a conversion switch with absolutely reliable mode, a conversion switch with discrete mode and a conversion switch with continuous mode, are established for the cold standby redundancy systems based on the reliability function and mean time to failure, respectively. In addition, a special case is analyzed, which lifetime of each element is independent identical uncertainty distribution with uncertain parameters. Finally, numerical examples are given to illustrate the rationalization of the developed models.