Resilience Evaluation of Regional Transportation Network Based on Game Theory and Extensible Cloud Model: A Case Study of the Beijing-Tianjin-Hebei Region
Restricted accessResearch articleFirst published online 2025
Resilience Evaluation of Regional Transportation Network Based on Game Theory and Extensible Cloud Model: A Case Study of the Beijing-Tianjin-Hebei Region
Currently, existing resilience evaluation methods of regional transportation networks often rely on single metrics or subjective weighting methods, which do not fully capture the complex and multidimensional nature of comprehensive resilience evaluation and analysis. Therefore, in this study, a seismic resilience evaluation model was developed that integrates game theory-based weighting with an extension cloud model. Using the construction of a comprehensive evaluation framework, this newly established model scientifically assesses the resilience of regional transportation networks under strong earthquake conditions. This study has three stages. First, based on the resilience characteristics of regional transportation networks, a corresponding evaluation index system was constructed from both functional and structural dimensions. Second, a method was proposed to evaluate the resilience of regional transportation networks by integrating subjective and objective weighting techniques grounded in game theory, combined with a comprehensive fuzzy-random qualitative and quantitative topological cloud model. Finally, taking the historical earthquake scenario of Sanhe-Pinggu as a case study, the resilience of the transportation network in the Beijing-Tianjin-Hebei region was evaluated using the established model. Based on the relevant evaluation results, limits and improvement strategies for the resilience of the transportation network in the Beijing-Tianjin-Hebei region are also discussed. This evaluation index system and evaluation model were found to reflect the resilience level of regional transportation networks and be suitable for the resilience evaluation of regional transportation networks in the context of a major earthquake. This research provides evidence-based reference and decision support for similar regional transportation network resilience evaluation and improvement.
LiT.GuoX.Research on Construction Method for Regional Spatial Structure of Earthquake and Disaster Prevention. Journal of Catastrophology. Vol. 38, No. 1, 2022, pp. 43–49. https://link.cnki.net/urlid/61.1097.p.20221014.1710.002
2.
FaturechiR.Miller-HooksE.Measuring the Performance of Transportation Infrastructure Systems in Disasters: A Comprehensive Review. Journal of Infrastructure Systems. Vol. 21, No. 1, 2015, p. 04014025. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000212
3.
HollingC. S.Resilience and Stability of Ecological Systems. Annual Review of Ecology & Systematics, Vol. 4, No. 1, 1973, pp. 1–23.
4.
IgnatowiczA.TarrantC.MannionR.El-SawyD.ConroyS.LassersonD.Organizational Resilience in Healthcare: A Review and Descriptive Narrative Synthesis of Approaches to Resilience Measurement and Assessment in Empirical Studies. BMC Health Services Research, Vol. 23, No. 1, 2023, p. 376. https://www.ncbi.nlm.nih.gov/pubmed/37076882
5.
MattssonL.-G.JeneliusE.Vulnerability and Resilience of Transport Systems – A Discussion of Recent Research. Transportation Research Part A: Policy and Practice, Vol. 81, 2015, pp. 16–34. https://doi.org/10.1016/j.tra.2015.06.002
6.
TangJ.HeinimannH.HanK.LuoH.ZhongB.Evaluating Resilience in Urban Transportation Systems for Sustainability: A Systems-Based Bayesian Network Model. Transportation Research Part C: Emerging Technologies, Vol. 121, 2020, p. 102840. https://doi.org/10.1016/j.trc.2020.102840
7.
YangQ.ZhangY.-N.ZhouY.-Q.BaiL.-B.A Review of Complex Network Theory and Its Application in theResilience of Public Transportation Systems. China Journal of Highway and Transport, Vol. 35, No. 4, 2022, pp. 215–229. https://link.cnki.net/doi/10.19721/j.cnki.1001-7372.2022.04.018
8.
GuY.FuX.LiuZ.XuX.ChenA.Performance of Transportation Network Under Perturbations: Reliability, Vulnerability, and Resilience. Transportation Research Part E: Logistics and Transportation Review, Vol. 133, 2020, p. 101809. https://doi.org/10.1016/j.tre.2019.11.003
9.
GonçalvesL. A. P. J.RibeiroP. J. G.Resilience of Urban Transportation Systems. Concept, Characteristics, and Methods. Journal of Transport Geography, Vol. 85, 2020, p. 102727. https://doi.org/10.1016/j.jtrangeo.2020.102727
10.
BešinovićN.Resilience in Railway Transport Systems: A Literature Review and Research Agenda. Transport Reviews, Vol. 40, No. 4, 2020, pp. 457–478. https://doi.org/10.1080/01441647.2020.1728419
11.
KwasinskiA.EidingerJ.TangA.Tudo-BornarelC.Performance of Electric Power Systems in the 2010–2011 Christchurch, New Zealand, Earthquake Sequence. Earthquake Spectra, Vol. 30, No. 1, 2014, pp. 205–230. Http://192.168.10.109/paragraph/article/10.1193/022813EQS056M
12.
LiuY.MaX.QiaoW.MaL.HanB.A Novel Methodology to Model Disruption Propagation for Resilient Maritime Transportation Systems–A Case Study of the Arctic Maritime Transportation System. Reliability Engineering & System Safety, Vol. 241, 2024, p. 109620. https://doi.org/10.1016/j.ress.2023.109620
13.
BruneauM.ChangS. E.EguchiR. T.LeeG. C.O’RourkeT. D.ReinhornA. M.ShinozukaM.TierneyK.WallaceW. A.von WinterfeldtD.A Framework to Quantitatively Assess and Enhance the Seismic Resilience of Communities. Earthquake Spectra, Vol. 19, No. 4, 2003, pp. 733–752. https://doi.org/10.1193/1.1623497
14.
HosseiniS.BarkerK.Ramirez-MarquezJ. E.A Review of Definitions and Measures of System Resilience. Reliability Engineering & System Safety, Vol. 145, 2016, pp. 47–61. https://doi.org/10.1016/j.ress.2015.08.006
15.
ZhouY.WangJ.YangH.Resilience of Transportation Systems: Concepts and Comprehensive Review. IEEE Transactions on Intelligent Transportation Systems, Vol. 20, No. 12, 2019, pp. 4262–4276. https://ieeexplore.ieee.org/document/8602445
16.
WangH.-W.PengZ.-R.WangD.MengY.WuT.SunW.LuQ.-C.Evaluation and prediction of transportation resilience under extreme weather events: A diffusion graph convolutional approach. Transportation Research Part C: Emerging Technologies, Vol. 115, 2020, p. 102619. https://doi.org/10.1016/j.trc.2020.102619
17.
IpW. H.WangD.Resilience and Friability of Transportation Networks: Evaluation, Analysis and Optimization. IEEE Systems Journal, Vol. 5, No. 2, 2011, pp. 189–198. https://ieeexplore.ieee.org/document/5688189
18.
AkbarzadehM.MemarmontazerinS.DerribleS.Salehi ReihaniS. F.The Role of Travel Demand and Network Centrality on the Connectivity and Resilience of an Urban Street System. Transportation, Vol. 46, No. 4, 2017, pp. 1127–1141. https://doi.org/10.1007/s11116-017-9814-y
19.
ZhuY.Research on Urban Traffic Resilience Assessment Method Based on Complex Network. Master’s degree thesis, Central South University, Changsha, China, 2023. https://doi.org/10.27661/d.cnki.gzhnu.2023.001968
20.
MaF.GouH.MengnaY.LiuQ.WeiX.AoY.Resilience Assessment of Multi-Moda Regional Rail Transit Networks Considering Grey Attack. China Safety Science Joumal, Vol. 33, No. 12, 2023, pp. 148–159. www.cssjj.com.cn/EN/10.16265/j.cnki.issn1003-3033.2023.12.0626
21.
PooM. C.-P.YangZ.DimitriuD.QuZ.An Advanced Climate Resilience Indicator Framework for Airports: A UK Case Study. Transportation Research Part D: Transport and Environment, Vol. 101, 2021, p. 103099. https://doi.org/10.1016/j.trd.2021.103099
22.
ZhaoR.YangJ.LiJ.ZhouS.Bayesian Network Evaluation of Road Network Resilience in Mainland Urban Agglomeration of Guangdong Hong Kong Macao Greater Bay Area. Journal of Safety and Environment, Vol. 24, No. 3, 2024, pp. 825–835. https://link.cnki.net/doi/10.13637/j.issn.1009-6094.2023.0534
23.
IlbeigiM.Statistical Process Control for Analyzing Resilience of Transportation Networks. International Journal of Disaster Risk Reduction, Vol. 33, 2019, pp. 155–161. https://doi.org/10.1016/j.ijdrr.2018.10.002
24.
SerdarM. Z.KoçM.Al-GhamdiS. G.Urban Transportation Networks Resilience: Indicators, Disturbances, and Assessment Methods. Sustainable Cities and Society, Vol. 76, 2022, p. 103452. https://doi.org/10.1016/j.scs.2021.103452
25.
BaiX.MaZ.ZhouY.Data-Driven Static and Dynamic Resilience Assessment of the Global Liner Shipping Network. Transportation Research Part E: Logistics and Transportation Review, Vol. 170, 2023, p. 103016. https://doi.org/10.1016/j.tre.2023.103016
26.
ChenX.MaS.ChenL.YangL.Resilience Measurement and Analysis of Intercity Public Transportation Network. Transportation Research Part D: Transport and Environment, Vol. 131, 2024, p. 104202. https://doi.org/10.1016/j.trd.2024.104202
27.
XuanG.Seismic Resilience Evaluation of Regional Transportation System. Master’s Degree Thesis, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, China, 2022. https://doi.org/10.27490/d.cnki.ggjgy.2022.000033
28.
JiangP.ZhangG.ChenX.SunB.Analysis of Casualties of the Sanhe-Pinggu MS8.0 Earthquake Reproduced in the Beijing-Tianjin-Hebei Region. World Earthquake Engineering, Vol. 38, No. 4, 2022, pp. 1–7. https://link.cnki.net/doi/10.19994/j.cnki.WEE.2022.0076
JiangZ.-z.LiY.-y.SunQ.-f.FanY.Research on Theoretical Model of Traffic Capacity of Highway Bridgesafter Earthquake. Journal of Disaster Prevention and Mitigation Engineering, Vol. 35, No. 2, 2015, pp. 226–231. https://link.cnki.net/doi/10.13409/j.cnki.jdpme.2015.02.014
31.
HunterM.MachemehlR.TsyganovA.Trb. Operational evaluation of freeway ramp design. Geometric Design and the Effects on Traffic Operations 2001: Highway Operations, Capacity, and Traffic Control. Transportation Research Record: Journal of the Transportation Research Board, 2001, 1751: 90–100. https://journals.sagepub.com/doi/abs/10.3141/1751-11
32.
ZhaoC.Multi-Modal Transportation Network Modeling and Integrated Resilience Measurement in Metropolitan Areas. Master’s Degree Thesis, Chang'an University, Xi'an, China, 2023. https://doi.org/10.26976/d.cnki.gchau.2023.002023
33.
CimellaroG. P.ReinhornA. M.BruneauM.Framework for Analytical Quantification of Disaster Resilience. Engineering Structures, Vol. 32, No. 11, 2010, pp. 3639–3649. https://doi.org/10.1016/j.engstruct.2010.08.008
34.
XuY.LuX.CetinerB.TacirogluE.Real-Time Regional Seismic Damage Assessment Framework Based on Long Short-Term Memory Neural Network. Computer-Aided Civil and Infrastructure Engineering, Vol. 36, No. 4, 2020, pp. 504–521. https://doi.org/10.1111/mice.12628
35.
WeiM.XuJ.Assessing Road Network Resilience in Disaster Areas From a Complex Network Perspective: A Real-Life Case Study From China. International Journal of Disaster Risk Reduction, Vol. 100, 2024, p. 104167. https://doi.org/10.1016/j.ijdrr.2023.104167
CsiszarO.Ordered Weighted Averaging Operators: A Short Review. IEEE Systems, Man, and Cybernetics Magazine, Vol. 7, No. 2, 2021, pp. 4–12. https://ieeexplore.ieee.org/document/9409788
38.
FernándezE.PozoM. A.PuertoJ.Ordered Weighted Average Combinatorial Optimization: Formulations and their Properties. Discrete Applied Mathematics, Vol. 169, 2014, pp. 97–118. https://doi.org/10.1016/j.dam.2014.01.001
39.
ZhuY.TianD.YanF.Effectiveness of Entropy Weight Method in Decision-Making. Mathematical Problems in Engineering, Vol. 2020, 2020, pp. 1–5. https://doi.org/10.1155/2020/3564835
40.
LiN.FanZ.LiuX.Impact Evaluation of Prefabricated Buildings Cost on Game Theory-Cloud Model. Journal of Mathematics, Vol. 2022, No. 1, 2022, p. 3635009. https://doi.org/10.1155/2022/3635009
41.
Song DaweiaY. M.HongkunaB.HujunaL.JiangboaWangJianibWangGuangyubQin.A Comprehensive Evaluation Model of Power Market Operation Efficiency Based on Extension Cloud Theory. Energy Procedia, Vol. 156, No. 2019, 2018, pp. 302–309. https://doi.org/10.1016/j.egypro.2018.11.146
42.
YanmingY.LixinJ.ZhenxiangW.Application of the Levenberg–Marquardt Method in Improving Technology of the Seismic Influence Field. Earthquake Research in China, Vol. 32, No. 3, 2018, pp. 400–411. https://lib.cqvip.com/Qikan/Article/Detail?id=7000856419
43.
ZhangL.WenH.LuJ.LiS.LeiD.Vulnerability Assessment and Visualization of Large-Scale Bus Transit Network Under Route Service Disruption. Transportation Research Part D: Transport and Environment, Vol. 88, 2020, p. 102570. https://doi.org/10.1016/j.trd.2020.102570
ParandF. -A.RahimiH.GorzinM.Combining Fuzzy Logic and Eigenvector Centrality Measure in Social Network Analysis. Physica A: Statistical Mechanics and its Applications, Vol. 459, 2016, pp. 24–31. https://doi.org/10.1016/j.physa.2016.03.079
48.
YaoB.WangL.GaoH.RenL.Bridge Construction Risk Assessment Based on Variable Weight Theory and Cloud Model. Buildings, Vol. 14, No. 3, 2024, p. 576. https://doi.org/10.3390/buildings14030576
