Loading [MathJax]/extensions/tex2jax.js

Response flow graph neural network for capacitated network reliability analysis

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Yan Shi
  • Cheng Liu
  • Michael Beer
  • Hong Zhong Huang

Research Organisations

External Research Organisations

  • City University of Hong Kong
  • University of Liverpool
  • Tongji University
  • University of Electronic Science and Technology of China

Details

Original languageEnglish
Article number111198
Number of pages15
JournalReliability Engineering and System Safety
Volume262
Early online date1 May 2025
Publication statusE-pub ahead of print - 1 May 2025

Abstract

Capacitated network reliability (CNR) analysis is essential for computing the reliability of diverse networks. The NP-hard nature of CNR problems makes exact solutions through exhaustive permutations impractical for many real-world engineering networks. In this research, a new graph-based neural network termed the response flow graph neural network (RFGNN) is developed to address CNR problems. The innovation of the proposed method comprises three key components. Firstly, an iteration equation is proposed to update network link weights by identifying nodes where flow is obstructed during propagation. Secondly, a novel expression is developed to amalgamate local neighborhood information for each node by incorporating the updated link weights, culminating in the creation of the RFGNN. Thirdly, an adaptive framework is developed to improve the prediction accuracy of the RFGNN in solving CNR problems. Several CNR problems are presented to assess the efficacy of the developed method. The results unequivocally demonstrate the effectiveness of the developed method. Furthermore, the RFGNN exhibits remarkable computational accuracy when estimating CNRs across various sub-networks once it is appropriately constructed from the original network. This represents a capability that conventional non-machine learning methods typically struggle to attain.

Keywords

    Adaptive framework, Capacitated network reliability, Complicated networks, Graph-based neural networks, Machine learning

ASJC Scopus subject areas

Cite this

Response flow graph neural network for capacitated network reliability analysis. / Shi, Yan; Liu, Cheng; Beer, Michael et al.
In: Reliability Engineering and System Safety, Vol. 262, 111198, 10.2025.

Research output: Contribution to journalArticleResearchpeer review

Shi Y, Liu C, Beer M, Huang HZ, Liu Y. Response flow graph neural network for capacitated network reliability analysis. Reliability Engineering and System Safety. 2025 Oct;262:111198. Epub 2025 May 1. doi: 10.1016/j.ress.2025.111198
Download
@article{587394024a014179acecc6864781ea29,
title = "Response flow graph neural network for capacitated network reliability analysis",
abstract = "Capacitated network reliability (CNR) analysis is essential for computing the reliability of diverse networks. The NP-hard nature of CNR problems makes exact solutions through exhaustive permutations impractical for many real-world engineering networks. In this research, a new graph-based neural network termed the response flow graph neural network (RFGNN) is developed to address CNR problems. The innovation of the proposed method comprises three key components. Firstly, an iteration equation is proposed to update network link weights by identifying nodes where flow is obstructed during propagation. Secondly, a novel expression is developed to amalgamate local neighborhood information for each node by incorporating the updated link weights, culminating in the creation of the RFGNN. Thirdly, an adaptive framework is developed to improve the prediction accuracy of the RFGNN in solving CNR problems. Several CNR problems are presented to assess the efficacy of the developed method. The results unequivocally demonstrate the effectiveness of the developed method. Furthermore, the RFGNN exhibits remarkable computational accuracy when estimating CNRs across various sub-networks once it is appropriately constructed from the original network. This represents a capability that conventional non-machine learning methods typically struggle to attain.",
keywords = "Adaptive framework, Capacitated network reliability, Complicated networks, Graph-based neural networks, Machine learning",
author = "Yan Shi and Cheng Liu and Michael Beer and Huang, {Hong Zhong} and Yu Liu",
note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Ltd",
year = "2025",
month = may,
day = "1",
doi = "10.1016/j.ress.2025.111198",
language = "English",
volume = "262",
journal = "Reliability Engineering and System Safety",
issn = "0951-8320",
publisher = "Elsevier Ltd.",

}

Download

TY - JOUR

T1 - Response flow graph neural network for capacitated network reliability analysis

AU - Shi, Yan

AU - Liu, Cheng

AU - Beer, Michael

AU - Huang, Hong Zhong

AU - Liu, Yu

N1 - Publisher Copyright: © 2025 Elsevier Ltd

PY - 2025/5/1

Y1 - 2025/5/1

N2 - Capacitated network reliability (CNR) analysis is essential for computing the reliability of diverse networks. The NP-hard nature of CNR problems makes exact solutions through exhaustive permutations impractical for many real-world engineering networks. In this research, a new graph-based neural network termed the response flow graph neural network (RFGNN) is developed to address CNR problems. The innovation of the proposed method comprises three key components. Firstly, an iteration equation is proposed to update network link weights by identifying nodes where flow is obstructed during propagation. Secondly, a novel expression is developed to amalgamate local neighborhood information for each node by incorporating the updated link weights, culminating in the creation of the RFGNN. Thirdly, an adaptive framework is developed to improve the prediction accuracy of the RFGNN in solving CNR problems. Several CNR problems are presented to assess the efficacy of the developed method. The results unequivocally demonstrate the effectiveness of the developed method. Furthermore, the RFGNN exhibits remarkable computational accuracy when estimating CNRs across various sub-networks once it is appropriately constructed from the original network. This represents a capability that conventional non-machine learning methods typically struggle to attain.

AB - Capacitated network reliability (CNR) analysis is essential for computing the reliability of diverse networks. The NP-hard nature of CNR problems makes exact solutions through exhaustive permutations impractical for many real-world engineering networks. In this research, a new graph-based neural network termed the response flow graph neural network (RFGNN) is developed to address CNR problems. The innovation of the proposed method comprises three key components. Firstly, an iteration equation is proposed to update network link weights by identifying nodes where flow is obstructed during propagation. Secondly, a novel expression is developed to amalgamate local neighborhood information for each node by incorporating the updated link weights, culminating in the creation of the RFGNN. Thirdly, an adaptive framework is developed to improve the prediction accuracy of the RFGNN in solving CNR problems. Several CNR problems are presented to assess the efficacy of the developed method. The results unequivocally demonstrate the effectiveness of the developed method. Furthermore, the RFGNN exhibits remarkable computational accuracy when estimating CNRs across various sub-networks once it is appropriately constructed from the original network. This represents a capability that conventional non-machine learning methods typically struggle to attain.

KW - Adaptive framework

KW - Capacitated network reliability

KW - Complicated networks

KW - Graph-based neural networks

KW - Machine learning

UR - http://www.scopus.com/inward/record.url?scp=105004261949&partnerID=8YFLogxK

U2 - 10.1016/j.ress.2025.111198

DO - 10.1016/j.ress.2025.111198

M3 - Article

AN - SCOPUS:105004261949

VL - 262

JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

SN - 0951-8320

M1 - 111198

ER -

By the same author(s)