含有多状态弧的无圈序贯网络的可靠性研究
On Reliability of Acyclic Consecutively Connected Networks with Multistate Arc
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摘要: 首先对一般生成函数进行改进，建立改进的一般生成函数对含有多状态弧的无圈序贯网络的可靠性进行研究。改进的一般生成函数可以同时表示节点是否接收到信号、信号数量和信号强度。针对改进的一般生成函数的特点建立新的递归方法和简化算法对网络的可靠性进行评价。最后给出一个数值的算例，结果证明本文建立的基于改进一般生成函数的方法有效解决了含有多状态弧的无圈序贯网络的可靠性评价问题。Abstract: This paper improves the universal generating function ,and establishes an improved universal generating function ,which can not only present the number of the signal but also present the strength of signal .In this paper ,a new algorithm based on the improved universal generating function for reliability e‐valuation has been suggested .A numerical examples are presented to demonstrate the improved method is very effective for the acyclic consecutively connected networks with multi‐state arc reliability evaluation .
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