Structural analysis and traffic flow in the transport networks of Madrid

López, Mary Luz Mouronte; Benito, R. M.

doi:10.3934/nhm.2015.10.127

Cited by 3 publications

(3 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One large area of research on flows in networks is devoted to traffic flows and transportation problems in networks. This includes vehicular traffic on urban roads [ 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 ], inclusive traffic jams [ 34 , 35 ], railway networks [ 36 , 37 , 38 ], and air traffic management [ 39 , 40 ]. Flows in pipeline networks, such as oil and gas flows in their corresponding transportation networks [ 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 ], are also often studied.…”

Section: Short Overview Of Selected Areas Of Research On Flows In Net...mentioning

confidence: 99%

Flows of Substances in Networks and Network Channels: Selected Results and Applications

Dimitrova

2022

Entropy

View full text Add to dashboard Cite

This review paper is devoted to a brief overview of results and models concerning flows in networks and channels of networks. First of all, we conduct a survey of the literature in several areas of research connected to these flows. Then, we mention certain basic mathematical models of flows in networks that are based on differential equations. We give special attention to several models for flows of substances in channels of networks. For stationary cases of these flows, we present probability distributions connected to the substance in the nodes of the channel for two basic models: the model of a channel with many arms modeled by differential equations and the model of a simple channel with flows of substances modeled by difference equations. The probability distributions obtained contain as specific cases any probability distribution of a discrete random variable that takes values of 0,1,…. We also mention applications of the considered models, such as applications for modeling migration flows. Special attention is given to the connection of the theory of stationary flows in channels of networks and the theory of the growth of random networks.

show abstract

Section: Short Overview Of Selected Areas Of Research On Flows In Net...mentioning

confidence: 99%

Flows of Substances in Networks and Network Channels: Selected Results and Applications

Dimitrova

2022

Entropy

View full text Add to dashboard Cite

show abstract

“…Certain investigations have been performed focusing on the study of centrality measures [35] in a PTN. In [36], the authors study some centralities in 58 existing social networks.…”

Section: Correlations Between Topological Measurementsmentioning

confidence: 99%

“…is paper also examines the correlation between some centrality measures and relates them to other traffic flow characteristics. Some research exists [34][35][36][37] that analyze the correlations between centrality measures in networks of different types. However, we focus on the study of centralities in PTNs and relate them to the flow of vehicles.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Public Transport Networks: A Study of Their Efficiency

López

2021

Complexity

View full text Add to dashboard Cite

The public transportation network (PTN) provides mobility and access to community resources, employment, medical care, infrastructures, and other resources in the city. This research studies the process of the formation of links among nodes in different real-world PTNs. We have found that this process may be appropriately explained by a generalized linear model (GLM) using local, global, and quasilocal similarity indexes as explanatory variables. In modeling, the response variable was described by a binomial probability density function, and the logit function was used as a link function. In the crossvalidation process, utilising a downsampling approach, both average accuracy and area under the receiver operating characteristic curve (AUC) metrics presented higher values than 0.99. The kappa parameter had magnitudes larger than 0.93 for most of the PTNs. In the final validation stage, recall and specificity metrics took the value 1. Accuracy and precision parameters were larger than 0.99 and 0.87, respectively, for the majority of PTNs. Only one of the PTNs required utilising a smoothed bootstrap approach in order to achieve better results. The similarity measures with the greatest influence on the model were determined. We also assessed the impact of link removal on the global efficiency of PTNs, considering several similarity indexes. Additionally, we find that most of the networks show low local and global efficiencies (≤0.20), as well as travel times with a relevant variability, exhibiting standard deviations larger than 790 seconds. Significant similarities exist between the cumulative probability distributions of the local efficiency in all PTNs. With respect to the centrality measures, the eigenvector centrality presented a strong correlation with the hub/authority centralities (>0.80), while the pagerank showed a moderate, high, or very high correlation with the degree in all PTNs, >0.50.

show abstract

A synthetic indicator for structuring resilient public transport operation

Mahdavi,

Bhouri

2024

Sustainable and Resilient Infrastructure

View full text Add to dashboard Cite

Structural analysis and traffic flow in the transport networks of Madrid

Cited by 3 publications

References 22 publications

Flows of Substances in Networks and Network Channels: Selected Results and Applications

Flows of Substances in Networks and Network Channels: Selected Results and Applications

Modeling the Public Transport Networks: A Study of Their Efficiency

A synthetic indicator for structuring resilient public transport operation

Contact Info

Product

Resources

About