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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">JWA</journal-id><journal-title-group><journal-title>Journal of World Architecture</journal-title></journal-title-group><issn>2208-3480</issn><eissn>2208-3499</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/jwa.v9i6.13334</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Optimization of High-Speed Railway Bridge Disaster Warning Systems Using Fuzzy Bayesian Networks and Embedded Runge-Kutta Pairs for Real-Time Risk Assessment</title><url>https://artdesignp.com/journal/JWA/9/6/10.26689/jwa.v9i6.13334</url><author>ZhangYufei,LiangHongyu,LiuYuebing,FanYuxin,ChenQiuyan,FuWenjie,WangGenxi,ShenYucheng</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>9</volume><issue>6</issue><history><date date-type="pub"><published-time>2025-12-31</published-time></date></history><abstract>High-speed railway (HSR) bridges face multi-hazard risks from wind, earthquakes, and fires, necessitating optimized warning systems for safety and efficiency. This study proposes a framework integrating fuzzy Bayesian networks (FBNs) for probabilistic risk modeling with embedded Runge-Kutta pairs for dynamic simulations, enabling real-time assessments. FBNs handle uncertainties across 22 indicators from standards like GB 50352-2019, categorizing capabilities in prevention, extinguishing, evacuation, rescue, and management. Runge-Kutta (orders 6/5) solves ODEs for transient responses, approximating finite element outputs in surrogates like LSTM-RNNs. Alarm optimization uses objective functions balancing busyness and alarm frequency, tested on Chinese HSR lines. Results show wind alarm reductions up to 47.6% with minimal downtime increases, fire risks graded “good” (54.3%) with management as key improvement, and collision missed alarms &amp;lt; 6% at &amp;lt; 1ms. The system reduces missed warnings by 6% and delivers alerts in milliseconds, advancing HSR resilience and minimizing disruptions.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Shen Y, Lin C, Simos T, et al., 2021, Runge-Jutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits. Mathematics, 9(12): 1342.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Chen Y, Wang G, 2021, Intelligent Warning System of Bridge Collision Avoidance and Yaw based on Communication Characteristic Analysis. Journal of Xi’an Polytechnic University, 35(6): 83–89.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Chen X, Lin W, Huang X, et al., 2023, Five Risk Assessment of Super High-Rise Buildings based on Fuzzy Bayesian Network. Safety and Environmental Engineering, 30(6): 40–47.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Ding M, Cui L, 2024, High-Rise Building Fire Hazard Evaluation based on Gray Hierarchy Analysis. Journal of Safety and Environment, 24(1): 1–7.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Gong C, et al., 2024, Safe Formation Control and Collision Avoidance for Multi-UAV Systems using Barrier Lyapunov Function. . In 43rd Chinese Control Conference (CCC 2024), 5497–5502.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Wang J, Ni S, 2023, Power Equipment Fire Hazard Analysis using Fuzzy Bayesian Network. Journal of Electrical Engineering, 38(2): 123–130.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Shampine L, Reichelt M, 1997, The MATLAB ODE Suite. SIAM Journal on Scientific Computing, 18(1): 1–22.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B8" content-type="article"><label>8</label><element-citation publication-type="journal"><p>Zhao F, 2020, Optimization Method for Wing Alarm Release Time Limit of High-Speed Railway Disaster Monitoring System. Railway Engineering, 60(1): 143–147.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B9" content-type="article"><label>9</label><element-citation publication-type="journal"><p>Bao Y, Wang J, Du Y, et al., 2019, Jakarta-Bandung High-Speed Railway Natural Disaster and Foreign Object Intrusion Monitoring System Solution. Railway Computer Application, 28(10): 1–5.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B10" content-type="article"><label>10</label><element-citation publication-type="journal"><p>Wang L, Chen M, 2023, Post-Seismic Driving Speed Threshold Study of High-Speed Railway Bridge based on Runge-Kutta Method. Journal of Bridge Engineering, 28(4): 04023012.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B11" content-type="article"><label>11</label><element-citation publication-type="journal"><p>Li X, Zhang Y, 2023, Uncertainty Quantification in Predicting Seismic Response of High-Speed Railway Bridges using Runge-Kutta Recurrent Neural Network. Engineering Structures, 2023(280): 115678.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B12" content-type="article"><label>12</label><element-citation publication-type="journal"><p>Zeng Q, Dimitrakopoulos E, 2018, Analytical Approaches to Dynamic Issues Related to High-Speed Railway Bridge-Train Interaction Systems: A State-of-the-Art Review. Journal of Sound and Vibration, 2018(427): 1–27.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B13" content-type="article"><label>13</label><element-citation publication-type="journal"><p>Gou H, Pu Q, Shi X, et al., 2018, Dynamic Analysis of a Train-Bridge System under Wind Action. Computers &amp; Structures, 2018(200): 36–47.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B14" content-type="article"><label>14</label><element-citation publication-type="journal"><p>Shampine L, 1992, RKSUITE: A Suite of Runge-Kutta Codes for the Initial Value Problem for ODEs, Southern Methodist University.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B15" content-type="article"><label>15</label><element-citation publication-type="journal"><p>Li X, Qiu W, 2016, Train-Track-Bridge Dynamic Interaction: A State-of-the-Art Review. Vehicle System Dynamics, 57(11): 1647–1674.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B16" content-type="article"><label>16</label><element-citation publication-type="journal"><p>Azam S, Chatzi E, Papadimitriou C, 2015, Dynamic Amplification of Railway Bridges under Varying Wagon Speeds using Rungue-Kutta Methods. Engineering Structures, 2015(101): 222–237.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B17" content-type="article"><label>17</label><element-citation publication-type="journal"><p>Mitsuta T, Kobayashi H, 2019, Application of Magnetic Field to Reduce the Forced Response of Steel Bridges under High-Speed Trains and Earthquakes. Journal of Sound and Vibration, 2019(458): 1–17.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B18" content-type="article"><label>18</label><element-citation publication-type="journal"><p>Yu Z, Mao J, Guo W, et al., 2019, Dynamic Responses of a Train-Track-Bridge Coupled System under Earthquakes. Journal of Vibration and Control, 25(3): 653–663.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B19" content-type="article"><label>19</label><element-citation publication-type="journal"><p>Ding Y, Li G, Wang C, et al., 2020, Effect of Staggered Joint in Short Pier Rigid Frame Bridge on Transverse Seismic Response: Experimental and Numerical Study. Advances in Structural Engineering, 23(16): 3516–3528.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B20" content-type="article"><label>20</label><element-citation publication-type="journal"><p>Wang H, Zhao F, 2018, An Earthquake Rapid Warning System for Railway Bridges based on Relay Descent. Railway Engineering, 58(5): 45–50.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B21" content-type="article"><label>21</label><element-citation publication-type="journal"><p>Bao Y, Wang J, 2019, Natural Disaster Warning System for Safe Operation of High-Speed Railway using LSSVM. Railway Computer Application, 28(10): 49–53.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B22" content-type="article"><label>22</label><element-citation publication-type="journal"><p>Xu L, Zhai W, 2019, Seismic Safety of High-Speed Railway Train-Track-Bridge Systems: A Systematic Review. Journal of Sound and Vibration, 2019(442): 233–269.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B23" content-type="article"><label>23</label><element-citation publication-type="journal"><p>Liu Z, Guo T, Chai S, 2016, Environment Safety Evaluation for High-Speed Railways under Wind Effects. Advances in Structural Engineering, 19(9): 1419–1431.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B24" content-type="article"><label>24</label><element-citation publication-type="journal"><p>Li X, Yu Z, 2023, Study on Train Safety Control of High-Speed Railway Bridge under Near-Fault Earthquake. Journal of Vibration and Shock, 42(8): 1–9.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B25" content-type="article"><label>25</label><element-citation publication-type="journal"><p>Zeng Q, Dimitrakopoulos E, 2020, Detection and Assessment of Seismic Response of High-Speed Railway Bridges using Public Participation with Smartphones. Engineering Structures, 2020(215): 110694.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B26" content-type="article"><label>26</label><element-citation publication-type="journal"><p>Wang J, Bao Y, Du Y, et al., 2019, Hazards Associated with High-Speed Railway Operations Adjacent to Conventional Tracks: A Survey. Journal of Railway Science and Engineering, 16(2): 312–320.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B27" content-type="article"><label>27</label><element-citation publication-type="journal"><p>Li Y, Zhang N, 2021, Decision-Making Method for High-Speed Rail Early Warning System in Earthquakes: Dual Judgement Processes. Journal of Southwest Jiaotong University, 56(3): 567–575.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B28" content-type="article"><label>28</label><element-citation publication-type="journal"><p>Liu L, Zhai W, 2019, Study on Train Safety Control under Near-Fault Earthquakes for HSR Bridges. China Railway Science, 40(4): 1–10.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B29" content-type="article"><label>29</label><element-citation publication-type="journal"><p>Bao Y, Wang J, Du Y, et al., 2018, Train Operation Safety Analysis for Soil-Pile-High-Speed Rail Vehicle-Bridge System under Earthquakes. Journal of Vibration Engineering, 31(5): 850–860.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
