Study of the Structural and Robustness Characteristics of Madrid Metro Network

Bernal, Ernesto; Rey, Ángel Martín del

doi:10.3390/su11123486

Cited by 19 publications

(5 citation statements)

References 42 publications

(45 reference statements)

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“…Table 5 shows the values of the eight robustness metrics computed using Equations ( 7)-( 14) for the Barcelona subway network and the Madrid subway network [59].…”

Section: Network Robustnessmentioning

confidence: 99%

A Mathematical Study of Barcelona Metro Network

et al. 2021

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The knowledge of the topological structure and the automatic fare collection systems in urban public transport produce many data that need to be adequately analyzed, processed and presented. These data provide a powerful tool to improve the quality of transport services and plan ahead. This paper aims at studying, from a mathematical and statistical point of view, the Barcelona metro network; specifically: (1) the structural and robustness characteristics of the transportation network are computed and analyzed considering the complex network analysis; and (2) the common characteristics of the different subway stations of Barcelona, based on the passenger hourly entries, are identified through hierarchical clustering analysis. These results will be of great help in planning and restructuring transport to cope with the new social conditions, after the pandemic.

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“…Table 5 shows the values of the eight robustness metrics computed using Equations ( 7)-( 14) for the Barcelona subway network and the Madrid subway network [59].…”

Section: Network Robustnessmentioning

confidence: 99%

A Mathematical Study of Barcelona Metro Network

et al. 2021

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“…The robustness of complex networks is defined as the ability of a network to maintain its structural integrity and functionality in the face of attacks or malfunctions. While individual network robustness has been extensively studied over the past few decades [12][13][14][15][16][17][18][19][20], many realworld networks are interconnected and interdependent. As technology advances, infrastructure systems are increasingly coupled with the Internet, forming networked physical systems.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the robustness of higher-low order coupled networks

Zheng,

Hu,

Zhang

et al. 2024

PLoS ONE

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Enhancing the robustness of complex networks is of great practical significance as it ensures the stable operation of infrastructure systems. We measure its robustness by examining the size of the largest connected component of the network after initial attacks. However, traditional research on network robustness enhancement has mainly focused on low-order networks, with little attention given to higher-order networks, particularly higher-low order coupling networks(the largest connected component of the network must exist in both higher-order and low-order networks). To address this issue, this paper proposes robust optimization methods for higher-low order coupled networks based on the greedy algorithm and the simulated annealing algorithm. By comparison, we found that the simulated annealing algorithm performs better. The proposed method optimizes the topology of the low-order network and the higher-order network by randomly reconnecting the edges, thereby enhancing the robustness of the higher-order and low-order coupled network. The experiments were conducted on multiple real networks to evaluate the change in the robustness coefficient before and after network optimization. The results demonstrate that the proposed method can effectively improve the robustness of both low-order and higher-order networks, ultimately enhancing the robustness of higher-low order coupled networks.

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“…Shen and Gong [16] made an evaluation method for the vulnerability of urban metro networks, and the research results contributed to the safe operation of metro networks. Bernal and Rey [17] used a quantitative and qualitative analysis of the structural characteristics and robustness of metro networks based on a variety of indicators and validated it with the Madrid metro network. Mariñas-Collado et al [18] analyzed the structural characteristics of the metro of Barcelona, which could be of great help in the planning of the Barcelona metro network in the future.…”

Section: Introductionmentioning

confidence: 99%

Research on the Performance Recovery Strategy Model of Hangzhou Metro Network Based on Complex Network and Tenacity Theory

Yin

2023

Sustainability

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Based on complex networks and resilience theory, the structural characteristics and post-disaster performance recovery process of the urban metro network are studied to determine the best repair strategy for metro network performance under different scenarios. Specifically: (1) The space-L method is used to model the Hangzhou metro network, and MATLAB software is used to calculate the characteristic parameter values of the Hangzhou metro network structure; (2) A model of the post-disaster resilience of the Hangzhou metro network was constructed, and network efficiency was used as the evaluation index of the resilience level and resilience of the metro network; (3) The performance recovery process of the metro network under different scenarios was simulated and the optimal recovery strategy of the post-disaster metro network was obtained. The results show that the degree values of the Hangzhou metro network nodes are all generally low; the average passage path between nodes is long and the nodes are scattered, which makes the convenience of residents’ travel low. In addition, the degree index and the betweenness have some influence on the recovery order of the failed nodes. Finally, the genetic algorithm solves the post-disaster optimal recovery strategy of the metro network with good results.

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Study of the Structural and Robustness Characteristics of Madrid Metro Network

Cited by 19 publications

References 42 publications

A Mathematical Study of Barcelona Metro Network

A Mathematical Study of Barcelona Metro Network

Optimizing the robustness of higher-low order coupled networks

Research on the Performance Recovery Strategy Model of Hangzhou Metro Network Based on Complex Network and Tenacity Theory

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