Robustness Analysis of Air Route Network Based on Topology Potential and Relative Entropy Methods

Guangjian Ren,Alexandre De Barros

doi:10.1155/2021/5527423

Guangjian Ren, Alexandre De Barros

Open Access

https://doi.org/10.1155/2021/5527423

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Abstract

Air route network (ARN) is the important carrier of air transport, and its robustness has important influence on the safety and stability of air transport. To analyze the robustness of ARN, in this paper, a topology potential relative entropy (TPRE) model is proposed, based on topology potential (TP) and relative entropy (RE) methods. Firstly, the TPRE model is established as the theoretical basis for the research. Secondly, an air route reduction network (ARRN) model is constructed according to real Chinese ARN. Besides, the basic topology features of ARRN are given by complex network theory. To prove the applicability, objectivity, and accuracy of the proposed method, attack strategies including random, degree, betweenness, closeness, eigenvector, and Bonacich are used to attack ARRN. Eventually, the performance of ARRN robustness is analyzed by network efficiency, size of giant component, and the proposed TPRE model. This conclusion has practical significance for optimizing ARN structure and improving airspace efficiency.

Highlights

Air route network (ARN) is one of the important parts of air traffic systems
In [7], Cardillo et al study the dynamics of the European air transport network by using a multiplex network formalism, and the results show that multiplexity strongly affects the robustness of the European air network. e network structure and nodal centrality of individual cities in the air transport network of China (ATNC) are examined through a complex network approach in [8]
Comparing the two relative entropy values, it can be seen that when DS > DT, the random attack has a greater impact on the air route network, and the network robustness is stronger under the intentional attack than under the random attack

Summary

Introduction

Air route network (ARN) is one of the important parts of air traffic systems. Erefore, the robustness of the ARN has important impact on the safety and efficiency of air transport. To study the robustness of the route structure is to evaluate the rationality and anti-interference of the ARN and, at the same time, provide a scientific basis for the optimization of the route structure and the dynamic adjustment of the airspace.

Literature Review

Network Topology Potential Model

Network Topology Potential Relative Entropy Model

Robustness Analysis of Air Route Reduction Network

Conclusions