冗余系统可靠度预测的网络分析法研究

 网络分析法是计算复杂系统可靠度的一种方法。它所定义的网络只具有简单节点及不重名弧（部件）。本文将此法引申到具有表决节点及重名孤（相关部件）的冗余系统中,并在模型中考虑了覆盖率。算法（RSCA-Ⅲ）除可求冗余系统可靠度外,还可用于任意具有重名弧的网络系统求可靠度。最后,本文对一个四冗余的电传飞行操纵系统进行了可靠度实例预测。其结果证明了模型及算法的正确性,并较适用于工程实际。

STUDY ON NETWORK ANALYTICAL METHOD FOR PREDICTING RELIABILITY OF REDUNDANT SYSTEMS

Network Analytical Method is a method for evaluating the reliability of a complex system. The network is defined as a graph which only contains simple nodes and arcs（no duplicative arcs）. In this paper, however, the method is extended to redundant systems which contain vote nodes and arcs, inclusive of duplicative arcs. In addition, coverage is taken into account in the model.The RSCA-III Algorithm can predict reliability for any network with duplicative arcs. After finding all minimal paths, the RSCA- I Algorithm uses cube for discribing the states and paths of system and then applies Sharp （#） operation between cube sets for obtaining the reliability of the system.Finally, a numerical example is given for a fly-by-wire flight control system on four-redundancy. The variation of reliability with second fault coverage is determined. The results verify the applicability of the model and the algorithm for engineering practice.