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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 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 study the Braess paradox in the transport network as originally proposed by Braess with totally asymmetric exclusion processes (TASEPs) on the edges. The Braess paradox describes the counterintuitive situation in which adding an edge to…

Physics and Society · Physics 2016-12-28 Stefan Bittihn , Andreas Schadschneider

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

Braess' paradox has been shown to appear rather generically in many systems of transport on networks. It is especially relevant for vehicular traffic where it shows that in certain situations building a new road in an urban or highway…

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

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

In the stochastic exploration of geometrically embedded graphs, intuition suggests that providing a shortcut between a pair of nodes reduces the mean first passage time of the entire graph. Counterintuitively, we find a Braess paradox…

Adaptation and Self-Organizing Systems · Physics 2023-03-06 Georgios Gounaris , Eleni Katifori

The emergence of the Braess' paradox in road traffic systems demonstrates the positive effect of transportation planning in improving efficiency. By contrast, the phenomenon has rarely been examined in pedestrian evacuation traffic. Yet the…

Physics and Society · Physics 2025-09-16 Jinghui Wang , Wei Lv

The classical network configuration introduced by Braess in 1968 is of fundamental significance because Valiant and Roughgarden showed in 2006 that `the "global" behaviour of an equilibrium flow in a large random network is similar to that…

Combinatorics · Mathematics 2012-07-16 Vadim Zverovich , Erel Avineri

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

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

Transportation electrification introduces strong coupling between the power and transportation systems. In this paper, we generalize the classical notion of Braess' paradox to coupled power and transportation systems, and examine how the…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Minghao Mou , Junjie Qin

We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is described by a Follow-the-Leader model. From a mathematical…

Physics and Society · Physics 2020-02-25 Rinaldo M. Colombo , Helge Holden , Francesca Marcellini

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

This work explores the relationship between the set of Wardrop equilibria~(WE) of a routing game, the total demand of that game, and the occurrence of Braess's paradox~(BP). The BP formalizes the counter-intuitive fact that for some…

Computer Science and Game Theory · Computer Science 2023-10-09 Jasper Verbree , Ashish Cherukuri

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 2013-04-09 Norihito Toyota

We propose a recursive logit model which captures the notion of choice aversion by imposing a penalty term that accounts for the dimension of the choice set at each node of the transportation network. We make three contributions. First, we…

Econometrics · Economics 2021-10-19 Austin Knies , Jorge Lorca , Emerson Melo

The Informational Braess' Paradox (IBP) illustrates a counterintuitive scenario where revelation of additional roadway segments to some self-interested travelers leads to increased travel times for these individuals. IBP extends the…

Computer Science and Game Theory · Computer Science 2025-04-22 Xujin Chen , Xiaodong Hu , Xinqi Jing , Zhongzheng Tang

It is known that autonomous cars can increase road capacities by maintaining a smaller headway through vehicle platooning. Recent works have shown that these capacity increases can influence vehicles' route choices in unexpected ways…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Xiaoyu Ma , Negar Mehr
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