部分信息下相邻2-out-of-n:F系统的可靠性分析

对相邻2-out-of-n系统可靠性的研究大都假定部件的失效时间分布是已知的,即部件的可靠度是已知的,然而该假设在许多情况下是不合理的(例如软件系统,人机系统)。本文针对部件的失效时间分布未知,仅仅具有关于部件可靠度的部分信息情况,也就是我们仅仅知道部件的寿命在某些重叠区间的可靠度,利用不精确概率理论分析了该系统,获得了相邻2-out-of-n:F环形与线形系统可靠度上下界的精确公式。最后用例子说明了本文的方法,并指出了在该方向上需要进一步研究解决的问题。

Reliability of Consecutive 2-out-of-n: F System under Incomplete Information

Most studies about consecutive 2-out-of-n: F system assume that the component lifetime distributions are known precisely, which implies the reliability of component is known. However it is diffcult to expect that assumption is fulfilled (such as software, human-machine systems) in practice. The paper considers the reliability analysis of consecutive 2-out-of-n: F system by using imprecise probability theory, under the condition that there is only some partial information about the component lifetime distribution, i.e., only probabilities on nested intervals are known. The exact formulas of lower and upper of linear and circular systems are obtained. Finally an illustrative example is given and some problems are also pointed out for the further study.