Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu

Public transportation infrastructure is a typical, complex, coupled network that is usually composed of connected bus lines and subway networks. This study proposes an entropy-based node importance identification method for this type of coupled network that is helpful for the integrated planning of...

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Main Authors: Ziqiang Zeng, Yupeng Sun, Xinru Zhang
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/26/2/159
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author Ziqiang Zeng
Yupeng Sun
Xinru Zhang
author_facet Ziqiang Zeng
Yupeng Sun
Xinru Zhang
author_sort Ziqiang Zeng
collection DOAJ
description Public transportation infrastructure is a typical, complex, coupled network that is usually composed of connected bus lines and subway networks. This study proposes an entropy-based node importance identification method for this type of coupled network that is helpful for the integrated planning of urban public transport and traffic flows, as well as enhancing network information dissemination and maintaining network resilience. The proposed method develops a systematic entropy-based metric based on five centrality metrics, namely the degree centrality (DC), betweenness centrality (BC), closeness centrality (CC), eigenvector centrality (EC), and clustering coefficient (CCO). It then identifies the most important nodes in the coupled networks by considering the information entropy of the nodes and their neighboring ones. To evaluate the performance of the proposed method, a bus–subway coupled network in Chengdu, containing 10,652 nodes and 15,476 edges, is employed as a case study. Four network resilience assessment metrics, namely the maximum connectivity coefficient (MCC), network efficiency (NE), susceptibility (S), and natural connectivity (NC), were used to conduct group experiments. The experimental results demonstrate the following: (1) the multi-functional fitting analysis improves the analytical accuracy by 30% as compared to fitting with power law functions only; (2) for both CC and CCO, the improved metric’s performance in important node identification is greatly improved, and it demonstrates good network resilience.
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spelling doaj.art-4cfed80803f04b889262eafcb5a8463e2024-02-23T15:15:45ZengMDPI AGEntropy1099-43002024-02-0126215910.3390/e26020159Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of ChengduZiqiang Zeng0Yupeng Sun1Xinru Zhang2Business School, Sichuan University, Chengdu 610065, ChinaBusiness School, Sichuan University, Chengdu 610065, ChinaSchool of Management, Zhengzhou University, Zhengzhou 450001, ChinaPublic transportation infrastructure is a typical, complex, coupled network that is usually composed of connected bus lines and subway networks. This study proposes an entropy-based node importance identification method for this type of coupled network that is helpful for the integrated planning of urban public transport and traffic flows, as well as enhancing network information dissemination and maintaining network resilience. The proposed method develops a systematic entropy-based metric based on five centrality metrics, namely the degree centrality (DC), betweenness centrality (BC), closeness centrality (CC), eigenvector centrality (EC), and clustering coefficient (CCO). It then identifies the most important nodes in the coupled networks by considering the information entropy of the nodes and their neighboring ones. To evaluate the performance of the proposed method, a bus–subway coupled network in Chengdu, containing 10,652 nodes and 15,476 edges, is employed as a case study. Four network resilience assessment metrics, namely the maximum connectivity coefficient (MCC), network efficiency (NE), susceptibility (S), and natural connectivity (NC), were used to conduct group experiments. The experimental results demonstrate the following: (1) the multi-functional fitting analysis improves the analytical accuracy by 30% as compared to fitting with power law functions only; (2) for both CC and CCO, the improved metric’s performance in important node identification is greatly improved, and it demonstrates good network resilience.https://www.mdpi.com/1099-4300/26/2/159coupled networkresilienceentropyimportance identificationpublic transportation infrastructure
spellingShingle Ziqiang Zeng
Yupeng Sun
Xinru Zhang
Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
Entropy
coupled network
resilience
entropy
importance identification
public transportation infrastructure
title Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
title_full Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
title_fullStr Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
title_full_unstemmed Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
title_short Entropy-Based Node Importance Identification Method for Public Transportation Infrastructure Coupled Networks: A Case Study of Chengdu
title_sort entropy based node importance identification method for public transportation infrastructure coupled networks a case study of chengdu
topic coupled network
resilience
entropy
importance identification
public transportation infrastructure
url https://www.mdpi.com/1099-4300/26/2/159
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AT yupengsun entropybasednodeimportanceidentificationmethodforpublictransportationinfrastructurecouplednetworksacasestudyofchengdu
AT xinruzhang entropybasednodeimportanceidentificationmethodforpublictransportationinfrastructurecouplednetworksacasestudyofchengdu