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Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

We study the tolerance to congestion failures in communication networks with scale-free topology. The traffic load carried by each damaged element in the network must be partly or totally redistributed among the remaining elements.…

Statistical Mechanics · Physics 2009-11-07 Y. Moreno , R. Pastor-Satorras , A. Vazquez , A. Vespignani

Extensive research has been done on studying the capacity of wireless multi-hop networks. These efforts have led to many sophisticated and customized analytical studies on the capacity of particular networks. While most of the analyses are…

Networking and Internet Architecture · Computer Science 2016-11-17 Guoqiang Mao , Zihuai Lin , Xiaohu Ge , Yang Yang

We study the role of fluctuations in percolation of sparse complex networks. To this end we consider two random correlated realizations of the initial damage of the nodes and we evaluate the fraction of nodes that are expected to remain in…

Physics and Society · Physics 2017-07-12 Ginestra Bianconi

It has been known that heterogeneous networks are vulnerable to the intentional removal of a small fraction of highly connected or loaded nodes, which implies that, to protect a network effectively, a few important nodes should be allocated…

Networking and Internet Architecture · Computer Science 2009-11-13 Xingang Wang , Shuguang Guan , Choy Heng Lai

In studies of complex heterogeneous networks, particularly of the Internet, significant attention was paid to analyzing network failures caused by hardware faults or overload, where the network reaction was modeled as rerouting of traffic…

Networking and Internet Architecture · Computer Science 2015-05-30 A. S. Stepanenko , I. V. Yurkevich , C. C. Constantinou , I. V. Lerner

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

Statistical Mechanics · Physics 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero

We show that the capacity of a complex network that models a city street grid to support congested traffic can be optimized by using routes that collectively minimize the maximum ratio of betweenness to capacity in any link. Networks with a…

Physics and Society · Physics 2011-11-24 Bogdan Danila , Yudong Sun , Kevin E. Bassler

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

Cascading failures are a critical vulnerability of complex information or infrastructure networks. Here we investigate the properties of load-based cascading failures in real and synthetic spatially-embedded network structures, and propose…

Physics and Society · Physics 2017-09-21 Alaa Moussawi , Noemi Derzsy , Xin Lin , Boleslaw K. Szymanski , Gyorgy Korniss

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

Motivated by reliability of networks in critical infrastructures, we consider optimal robustness of a class of flow networks against a \textit{targeted} attack, namely max-load targeted attack, that triggers cascading failures due to…

Physics and Society · Physics 2019-03-28 Omur Ozel , Bruno Sinopoli , Osman Yagan

This paper investigates the role of flexible connection in accelerating the interconnection of large loads amid rising electricity demand from data centers and electrification. Flexible connection allows new loads to defer or curtail…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Nan Gu , Ge Chen , Junjie Qin

Components in many real-world complex systems depend on each other for the resources required for survival, and may die of a shortage. These patterns of dependencies often take the form of a complex network whose structure potentially…

Physics and Society · Physics 2022-02-04 Madhusudan Ingale , Snehal M. Shekatkar

Transportation infrastructures, particularly those supporting intermodal freight, are vulnerable to natural disasters and man-made disasters that could lead to severe service disruptions. These disruptions can drastically degrade the…

Optimization and Control · Mathematics 2024-02-06 Majbah Uddin , Nathan Huynh

We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws to investigate the impact of transient dynamics caused by the rebalancing of loads after an initial network failure…

Physics and Society · Physics 2010-05-04 Ingve Simonsen , Lubos Buzna , Karsten Peters , Stefan Bornholdt , Dirk Helbing

Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gene regulatory and metabolic circuits in our cells to…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Xiaozhu Zhang , Marc Timme

The collective strength of a system of fibers, each having a failure threshold drawn randomly from a distribution, indicates the maximum load carrying capacity of different disordered systems ranging from disordered solids, power-grid…

Statistical Mechanics · Physics 2015-11-03 Soumyajyoti Biswas , Parongama Sen

We develop elements of a theory of cooperation and coordination in networks. Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what…

Information Theory · Computer Science 2011-04-04 Paul Cuff , Haim Permuter , Thomas Cover

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

Physics and Society · Physics 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico