针对故障源作用下的系统可靠性的评估问题 ,建立了一种具有实输入数组的新的Neuman型故障源 (实故障源 )的模型 ,并应用概率分析的方法评估了在这种故障源作用下由函数元构成的系统的可靠性 ,给出了系统可靠性的下界估计 ,阐明了在实故障源作用下的基底上不可能建立任意可靠的系统 .最后研究了满足实故障源条件的函数元基在所有函数元基中所占的比例 ,并给出了它的渐近估计 Aiming at the problem of evaluating the system reliability under the fault source, a new model of Neuman fault source (real fault source) with real input array is established and the effect of fault source is evaluated by using the method of probability analysis The reliability of the system composed of functional elements is given and the lower bound of the system reliability is given.It is proved that it is impossible to build any reliable system on the substrate under the action of real fault sources.Finally, The proportion of the radical in all functional elements and its asymptotic estimate