Identification of Critical Track Sections in a Railway Station Using a Multiplex Networks Approach

Pengfei Gao (), Wei Zheng, Jintao Liu and Daohua Wu
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Pengfei Gao: School of Automation and Intelligence, Beijing Jiaotong University, Beijing 100044, China
Wei Zheng: School of Automation and Intelligence, Beijing Jiaotong University, Beijing 100044, China
Jintao Liu: School of Automation and Intelligence, Beijing Jiaotong University, Beijing 100044, China
Daohua Wu: School of Automation and Intelligence, Beijing Jiaotong University, Beijing 100044, China

Mathematics, 2025, vol. 13, issue 7, 1-30

Abstract: Railway stations serve as critical nodes within transportation networks, and the efficient management of in-station track sections is vital for smooth operations. This study proposes an integrated method for identifying critical track sections, which refers to track sections with the highest static occupancy rates (HiSORTS), in railway station yards using a multiplex network framework. By modeling the station as a Railway Station Multiplex Network (RSMN) that incorporates train routes (TRs), extended routes (ERs), and shunting routes (SRs), the proposed approach overcomes the limitations of single-layer, single-metric analyses and effectively captures complex operational characteristics. Classical network metrics, including Degree Centrality (DC), Betweenness Centrality (BC), Closeness Centrality (CC), Katz Centrality (KC), and PageRank (PR), along with a custom Fusion Centrality (FC), are used to quantify track section importance. Principal Component Analysis (PCA) and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) are applied to generate rankings, which are further analyzed using SHapley Additive exPlanations (SHAP)-based matrics contributions analysis. The results indicate that TR metrics contribute the most (50.3%), followed by ER (25.5%) and SR (24.2%), with KC and FC being the most influential metrics. The findings provide a robust decision-support framework for railway operations, facilitating targeted maintenance, congestion mitigation, and efficiency optimization.

Keywords: multiplex networks; critical track sections; track sections with highest static occupancy rates (HiSORTS); PCA; TOPSIS; network centrality; SHapley Additive exPlanations (SHAP) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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