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An Algorithm for Generation of Branch Matrices of a Reliability Logic Diagram in Series-Parallel Configuration

机译:串联-并联配置下可靠性逻辑图分支矩阵的生成算法

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In this paper, we propose an algorithm for the generation of branch matrices of a Reliability Logic Diagram (RLD) in series-parallel configuration.. Nodes and Elements of the RLD are expressed "in terms of decimal weights of the nodes. The incidence matrix [I] of the RLD is expressed first in decimal form and are then arranged in descending order for subsequent computations. For the number of nodes N. the fundamental paths (FP) of cardinalities (C) from 1 through (N-l) are generated and stored. The repeated and non-repeated elements are identified and arc stored in different array vectors with proper indexing. The non-repeated elements are compared one by one with the elements of the FPs of cardinalities 1 through (N-1), and whenever some elements are found to match with those of an FP. they are indexed against the particular path and cardinality and are eliminated from the array vector of the non-repeated elements. The elements thus found are marked, indexed and stored. The elements left- behind and not forming an FP are slso indexed and stored. In the subsequent steps, the repeated and the left-behind elements are added to their appropriate FPs using rules stated in the paper. Based on the algorithm, a Computer Cock has been developed which generates and enumerates branch matrices of RLDs in series-parallel configuration.
机译:在本文中,我们提出了一种用于在串联-并联配置中生成可靠性逻辑图(RLD)的分支矩阵的算法。RLD的节点和元素用“节点的十进制权重表示。关联矩阵RLD的[I]首先以十进制形式表示,然后以降序排列以进行后续计算;对于节点数N,从(N)到(N)的基数(C)的基本路径(FP)生成并识别重复和未重复的元素,并通过适当的索引将其存储在不同的数组向量中,将不重复的元素与基数为1到(N-1)的FP元素进行逐一比较。发现一些元素与FP的元素匹配,它们针对特定的路径和基数进行索引,并从非重复元素的数组向量中消除,从而对找到的元素进行标记,索引和存储。尾部且未形成FP的索引也将被存储。在后续步骤中,使用本文所述的规则将重复的元素和遗留的元素添加到其适当的FP中。基于该算法,已经开发了计算机Cock,它可以生成并枚举串联-并联配置的RLD的分支矩阵。

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