一般多状态单调关联系统

多状态单调关联系统是系统可靠性理论的新发展,目前见到的研究均在元件(系统)状态集 合为全序集条件下进行的.这种结构实际应用有一定的局限性.本文根据实际系统的单调性 状,在元件与系统状态集合为偏序的假定下,给出一类多状态单调关联系统的定义.并对其结 构性质、随机性质及分布类封闭性质进行了研究,得出若干结果.

Generalized Multistate Monotone Coherent Systems

Multistate monotone coherent systems theory is a new development of system reliability theory. Up to now, the researches are all carried out under the hypothesis that the state sets of components and systems are totally ordered. These models have some limitations in practical applications. In this paper, a new mulristate monotone coherent system model has been defined according to actual systems monotone features, which is under the hypothesis that the state sets of components and systems are partially ordered. And some of its features, such as deterministic properties, stochastic performance and distribution class closure theorem: etc. have been discussed. Results are given.