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Complex networks for the analysis and simulation of intermunicipal public transportation: A case study of the Department of Quindío, Colombia

  • Published: 20 July 2026
  • This paper presents an integrated methodological framework for analyzing the structure and operational performance of intercity public transportation systems by combining complex network theory with discrete event simulation. The road network is modeled as a directed multigraph, enabling the identification of critical nodes and corridors through centrality metrics and percolation analysis, while the simulation operates directly on the network's topology by incorporating travel speed variability, passengers' boarding and alighting times, and service frequencies. A case study of the intercity public transportation network of the Department of Quindío (Colombia) demonstrates the applicability of the methodology. The results show that network vulnerability is concentrated in a limited number of strategic corridors, with betweenness centrality providing the most effective criterion for identifying structurally critical nodes. Furthermore, although alternative routes exist, they do not necessarily guarantee operational resilience. The proposed framework provides a quantitative decision support tool for transportation planning and infrastructure management and, owing to its modular and scalable design, can be readily adapted to other intercity transportation systems.

    Citation: Jorge Mario Garcia-Usuga, Monica Jhoana Mesa-Mazo, Jhoana P. Romero-Leiton. Complex networks for the analysis and simulation of intermunicipal public transportation: A case study of the Department of Quindío, Colombia[J]. Networks and Heterogeneous Media, 2026, 21(4): 1544-1579. doi: 10.3934/nhm.2026059

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  • This paper presents an integrated methodological framework for analyzing the structure and operational performance of intercity public transportation systems by combining complex network theory with discrete event simulation. The road network is modeled as a directed multigraph, enabling the identification of critical nodes and corridors through centrality metrics and percolation analysis, while the simulation operates directly on the network's topology by incorporating travel speed variability, passengers' boarding and alighting times, and service frequencies. A case study of the intercity public transportation network of the Department of Quindío (Colombia) demonstrates the applicability of the methodology. The results show that network vulnerability is concentrated in a limited number of strategic corridors, with betweenness centrality providing the most effective criterion for identifying structurally critical nodes. Furthermore, although alternative routes exist, they do not necessarily guarantee operational resilience. The proposed framework provides a quantitative decision support tool for transportation planning and infrastructure management and, owing to its modular and scalable design, can be readily adapted to other intercity transportation systems.



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