Our modern society has come to depend on large-scale infrastructure networks to deliver resources to our homes and businesses in an efficient manner. Over the past 10 years there have been numerous examples where a local disturbance has lead to the global failure of systems. In this paper, we use an
Modeling cascading failures in congested complex networks
β Scribed by Jian-Feng Zheng; Zi-You Gao; Xiao-Mei Zhao
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 343 KB
- Volume
- 385
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
Cascading failures occur commonly in congested complex networks, where it may be expressed as the process of generation, diffusion and dissipation of congestion. Different from betweeness centrality, we introduce congestion effects to determine the load on the node. In terms of user equilibrium condition, congestion effects can be described by cost functions or link performance functions, which map link flows to travel times. By introducing conceptual ''practical capacity'' dynamics to cost functions, cascading failures are well discussed in terms of the degree of congestion in complex networks. Moreover, the efficiency dynamics of the network due to cascading failures is also investigated, and a transition phenomenon is uncovered independent of clustering effect.
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