2017
DOI: 10.1111/itor.12384
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Network efficiency and vulnerability analysis using the flow‐weighted efficiency measure

Abstract: Analyzing the vulnerability of a network and identifying its critical spots is of great importance for today's decision makers. The in‐depth knowledge about the underlying network and its efficiency is fundamental to adequate decision making. In this paper, the flow‐weighted efficiency measure is introduced and exemplarily demonstrated on a physical network—the underground network of Munich, Germany. This paper addresses the usability of the weight values of a graph from an efficiency point of view. The propos… Show more

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Cited by 6 publications
(8 citation statements)
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“…Based on [6,7], the nodal efficiency measure is applied by calculating the length of the shortest paths from one node to all the others in the network. Its formula E v V G i ( ) ( ) [6,7] for one node v i in the network G is defined by:…”
Section: Efficiency Measurementioning
confidence: 99%
See 1 more Smart Citation
“…Based on [6,7], the nodal efficiency measure is applied by calculating the length of the shortest paths from one node to all the others in the network. Its formula E v V G i ( ) ( ) [6,7] for one node v i in the network G is defined by:…”
Section: Efficiency Measurementioning
confidence: 99%
“…Before carrying out the vulnerability analysis of the ICE network, we introduce the vulnerability index network residual closeness [7]. This measure is based on how the closeness of a network would change after the removal of nodes or edges.…”
Section: Vulnerability Analysismentioning
confidence: 99%
“…Reliability measures and indices [9], analyze how much disruption a network can handle before failure, while the resilience ones [12], analyze how much time the network needs to return to the operating state after disruption. One application for the flow measures and indices [14] is to analyze the flow efficiency of the network, and to quantify the drop in efficiency in case of disruption. With the continued advancement in transportation network analysis, decision makers need more support to interpret the results, to avoid overloading the process with too much information structured in large tables and overcrowded plots.…”
Section: Background and State-of-the-artmentioning
confidence: 99%
“…Many studies tried to analyze different aspects of these type of networks like network centrality [2][3][4][5], vulnerability [6][7][8], reliability [9,10], resilience [11][12][13], flows [14][15][16], etc., and there has been a considerable progress in the past few decades. However, most of the studies are at a theoretical level and the decision-makers need a consistent background in the field of graph theory to perform such analyses and to accurately interpret the results.…”
Section: Introductionmentioning
confidence: 99%
“…This method can effectively decompose the topological graph and be used to analyze the vulnerability of the new and old metro networks in Delhi. Nistor et al (2019) proposed a flow-weighted efficiency metric to assess network vulnerability and applied it to the Munich Metro for analysis.…”
Section: Introductionmentioning
confidence: 99%