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统节点进行重要度评价成为了人们在研究复杂网络问题的重要课题。现有的研 宄成果主要集中在三个方面，即基于社会关系、系统工程和互联网信息传递对 网络节点重要度进行计算。目前的复杂网络的节点重要度评价指标主要四种。 下面将对这些评价指标作简要介绍。</p> <div>2.2.1基于度数的节点重要度</div> <div>顶点v的度数TD (v)是与顶点v相关联的边的条数。顶点的度是其出度与 入度的和，顶点v的入度是以它为终点的有向边的数量，记为ID (v)，顶点v的 出度是以它为起点的有向边的数量，记为0D (V)，其中TO (v) = ID (v) + OD (V)。</div> <div>节点度数的大小在一定程度上反映了节点的重要程度，度数值越大，那么 节点的权重也就越大。通过计算节点的度数来获得节点的重要度计算简单并且 易于掌握，但并不能完全反应节点的重要程度。节点的重要程度不仅与它的度 相关，还和与之相邻的其它节点的重要度相关，此外这种评估方法无法区分出 度与入度对节点的影响。实际上，相邻节点重要度越高，此节点的重要度就越 高，反之就会越低。所以用度数来计算节点重要度具有较大的局限性。</div> <div>2.2.2基于紧密度的节点重要度</div> <div>紧密度是上世纪六十年代由Sabidussi提出的又一指标，节点的紧密度等于 到其他所有节点的累计距离的倒数，假设节点Vi与节点Vj之间的最短路径是</div> <div>那么节点的紧密度q计算公式如下：</div> <div>紧密度是通过节点间的传递距离来对节点的重要度进行衡量，节点到达各 个节点的距离和最短，那么紧密度越高，相应的节点就处于网络的中心地带， 重要度也会越高[83]。与计算度数相比，计算紧密度将网络中所有的节点均考虑在内，有效地利用了节点的网络拓扑关系，但是这种方法过于依赖拓扑图，只 适用于部分拓扑网络图。图2.4[83]是针对同一网络结构图采用度数和紧密度两个 指标进行评价对比，采用度数的评价比较简单粗略从而无法体现一些更重要节 点的重要度，右图中正中心处的节点重要度是0.5,其他的节点由内到外逐渐减 少依次是0.41、0.32及0.26，而左图中除了处于最边缘节点度数为2，其余节 点度数全部为3。所以从这个网络图来分析采用紧密度作为节点重要度评价指 标更加符合实际也更加精确。</div> <div> </div> <div> <p class="MsoNormal"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">本文采摘自“基于故障率相关的加工中心的可靠性及风险评估”，因为编辑困难导致有些函数、表格、图片、内容无法显示，有需要者可以在网络中查找相关文章！</span><span lang="EN-US" style="font-size:9.0pt"><o:p></o:p></span></p> <p class="MsoNormal"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">本文由伯特利数控整理发表文章均来自网络仅供学习参考，转载请注明！</span><span lang="EN-US" style="font-size:9.0pt"><o:p></o:p></span></p> <p class="MsoNormal"><span style="font-size:9.0pt;font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">相关内容可查阅：主页（</span><b><span lang="EN-US" style="font-size:9.0pt"><a href="http://www.bethel-cnc.com/"><span lang="EN-US" style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">加工中心</span></a></span></b><span 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