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Well known in the theory of network flows, Braess paradox states that in a congested network, it may happen that adding a new path between destinations can increase the level of congestion. In transportation networks the phenomenon results…

Systems and Control · Computer Science 2015-09-22 John Baillieul , Bowen Zhang , Shuai Wang

Reliable functioning of supply and transport networks fundamentally support many non-equilibrium dynamical systems, from biological organisms and ecosystems to human-made water, gas, heat, electricity and traffic networks. Strengthening an…

Adaptation and Self-Organizing Systems · Physics 2022-05-31 Debsankha Manik , Dirk Witthaut , Marc Timme

The tendency for flows in microfluidic systems to behave linearly poses a challenge for designing integrated flow control schemes to carry out complex fluid processing tasks. This hindrance has led to the use of numerous external control…

Fluid Dynamics · Physics 2020-06-18 Daniel J. Case , Jean-Regis Angilella , Adilson E. Motter

Robust operation of power transmission grids is essential for most of today's technical infrastructure and our daily life. Adding renewable generation to power grids requires grid extensions and sophisticated control actions on different…

Adaptation and Self-Organizing Systems · Physics 2018-08-29 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet , Dirk Witthaut , Marc Timme , Benjamin Schäfer

The Braess paradox, known for traffic and other classical networks, lies in the fact that adding a new route to a congested network in an attempt to relieve congestion can counter-intuitively degrade the overall network performance.…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Marco Pala , Hermann Sellier , Benoit Hackens , Frederico Martins , Vincent Bayot , Serge Huant

The Braess paradox can be observed in road networks used by selfish users. It describes the counterintuitive situation in which adding a new, per se faster, origin-destination connection to a road network results in increased travel times…

Physics and Society · Physics 2018-06-13 Stefan Bittihn , Andreas Schadschneider

The ongoing energy transition requires power grid extensions to connect renewable generators to consumers and to transfer power among distant areas. The process of grid extension requires a large investment of resources and is supposed to…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Benjamin Schäfer , Thiemo Pesch , Debsankha Manik , Julian Gollenstede , Guosong Lin , Hans-Peter Beck , Dirk Witthaut , Marc Timme

We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The…

Analysis of PDEs · Mathematics 2017-03-30 Rinaldo M. Colombo , Helge Holden

We present evidence for a counter-intuitive behavior of semiconductor mesoscopic networks that is the analog of the Braess paradox encountered in classical networks. A numerical simulation of quantum transport in a two-branch mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 M. G. Pala , S. Baltazar , P. Liu , H. Sellier , B. Hackens , F. Martins , V. Bayot , X. Wallart , L. Desplanque , S. Huant

Braess \cite{1} has been studied about a traffic flow on a diamond type network and found that introducing new edges to the networks always does not achieve the efficiency. Some researchers studied the Braess' paradox in similar type…

Physics and Society · Physics 2015-01-12 Norihito Toyota , Fumiho Ogura

Microfluidics involves the manipulation of flows at the microscale, typically requiring external power sources to generate pressure gradients. Alternatively, harnessing flows from active fluids, which are usually chaotic, has been proposed…

Incompressible fluids in microfluidic networks with non-rigid channels can exhibit flow rate oscillations analogous to electric current oscillations in RLC circuits. This is due to the elastic deformation of channel walls that can store and…

Fluid Dynamics · Physics 2025-05-08 Yanxuan Shao , Jean-Regis Angilella , Adilson Motter

The Braess paradox describes the counterintuitive situation that the addition of new roads to road networks can lead to higher travel times for all network users. Recently we could show that user optima leading to the paradox exist in…

Physics and Society · Physics 2021-03-08 Stefan Bittihn , Andreas Schadschneider

We propose a simple model to analyze the traffic of droplets in microfluidic ``dual networks''. Such functional networks which consist of two types of channels, namely those accessible or forbidden to droplets, often display a complex…

Fluid Dynamics · Physics 2008-01-30 M. Schindler , A. Ajdari

Microfluidics, the study of fluids in microscopic channels, has led to important advances in fields as diverse as microelectronics, biotechnology and chemistry. Microfluidic research is primarily based on the use of microfluidic chips,…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Jorge Vicente Martinez , Edgar Ramirez-Laboreo , Pablo Calderon Gil

Soft intertwined channel systems are frequently found in fluid flow networks in nature. The passage geometry of these systems can deform due to fluid flow, which can cause the relationship between flow rate and pressure drop to deviate from…

Fluid Dynamics · Physics 2024-01-24 Magnus V. Paludan , Benjamin Dollet , Philippe Marmottant , Kaare H. Jensen

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

Multiplex networks are representations of multilayer interconnected complex networks where the nodes are the same at every layer. They turn out to be good abstractions of the intricate connectivity of multimodal transportation networks,…

Physics and Society · Physics 2016-03-23 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas

The Braess's Paradox (BP) is the observation that adding one or more roads to the existing road network will counter-intuitively increase traffic congestion and slow down the overall traffic flow. Previously, the existence of the BP is…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Dingyi Zhuang , Yuzhu Huang , Vindula Jayawardana , Jinhua Zhao , Dajiang Suo , Cathy Wu

The performances of lubricated systems widely used in natural, biological, and artificial settings are traditionally dictated by their load bearing capacities. Here we unveil that, by exploiting a unique coupling between interfacial…

Fluid Dynamics · Physics 2022-07-26 Siddhartha Mukherjee , Jayabrata Dhar , Sunando DasGupta , Suman Chakraborty
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