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Many critical infrastructure systems have network structure and are under stress. Despite their national importance, the complexity of large-scale transport networks means we do not fully understand their vulnerabilities to cascade…

Taking into account the fact that overload failures in real-world functional networks are usually caused by extreme values of temporally fluctuating loads that exceed the allowable range, we study the robustness of scale-free networks…

Physics and Society · Physics 2015-07-02 Shogo Mizutaka , Kousuke Yakubo

Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of…

Optimization and Control · Mathematics 2020-02-24 Alessandro Zocca , Bert Zwart

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

We investigate the percentage of delivering capacities that are actually consumed in a typical traffic dynamics where the capacities are uniformly assigned over a scale-free network. Theoretical analysis, as well as simulations, reveal that…

Statistical Mechanics · Physics 2007-05-23 Shan He , Sheng Li , Hongru Ma

Strong resilience properties of dynamical flow networks are analyzed for distributed routing policies. The latter are characterized by the property that the way the inflow at a non-destination node gets split among its outgoing links is…

Systems and Control · Computer Science 2011-03-28 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Modern logistics systems worldwide are facing unprecedented challenges due to the explosive growth of e-commerce, driving the need for resilient systems to tackle problems such as vulnerable supplies, volatile demands, and fragile…

Optimization and Control · Mathematics 2024-02-12 Xiaoyue Liu , Jingze Li , Benoit Montreuil

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the…

Adaptation and Self-Organizing Systems · Physics 2017-06-14 Benjamin Schäfer , Moritz Matthiae , Xiaozhu Zhang , Martin Rohden , Marc Timme , Dirk Witthaut

This paper explores a variety of strategies for understanding the formation, structure, efficiency and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical…

Physics and Society · Physics 2011-04-04 A. Yazdani , P. Jeffrey

A network's transmission capacity is the maximal rate of traffic inflow that the network can handle without causing congestion. Here we study how to enhance this quantity by redistributing the capability of individual nodes while preserving…

Networking and Internet Architecture · Computer Science 2009-10-14 Guoqing Zhang , Shi Zhou , Di Wang , Gang Yan , Guoqiang Zhang

Power lines, roadways, pipelines and other physical infrastructure are critical to modern society. These structures may be viewed as spatial networks where geographic distances play a role in the functionality and construction cost of…

Physics and Society · Physics 2015-06-03 Thomas C. McAndrew , Christopher M. Danforth , James P. Bagrow

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems. In this framework,…

Information Theory · Computer Science 2017-07-03 Mahdi Jafari Siavoshani , Ali Pourmiri , Seyed Pooya Shariatpanahi

Infrastructure systems, such as power, transportation, telecommunication, and water systems, are composed of multiple components which are interconnected and interdependent to produce and distribute essential goods and services. So, the…

Physics and Society · Physics 2021-10-14 Zahra Mahabadi , Liz Varga , Tom Dolan

We study numerically the cascading failure problem by using artificially created scale-free networks and the real network structure of the power grid. The capacity for a vertex is assigned as a monotonically increasing function of the load…

Physics and Society · Physics 2016-09-08 Bing Wang , Beom Jun Kim

Transport in complex networks can describe a variety of natural and human-engineered processes including biological, societal and technological ones. However, how the properties of the source and drain nodes can affect transport subject to…

Statistical Mechanics · Physics 2023-10-19 Geoffroy Berthelot , Liubov Tupikina , Min-Yeong Kang , Jérôme Dedecker , Denis S. Grebenkov

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

Advanced integration of logistics systems has been promoted for the sake of competitiveness and sustainability. Such efforts will enable more globally optimal and flexible operations by efficiently utilizing transportation capacity. At the…

Physics and Society · Physics 2022-03-29 Takahiro Ezaki , Naoto Imura , Katsuhiro Nishinari

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter