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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

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 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 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 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

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 is a counter-intuitive phenomenon whereby adding roads to a network results in higher travel time at equilibrium. In this paper we present an algorithm to detect the occurrence of this paradox in real-world networks with…

Computer Science and Game Theory · Computer Science 2022-02-07 Mikhail Burov , Can Kizilkale , Alexander Kurzhanskiy , Murat Arcak

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

To systematically study the implications of additional information about routes provided to certain users (e.g., via GPS-based route guidance systems), we introduce a new class of congestion games in which users have differing information…

Computer Science and Game Theory · Computer Science 2017-11-06 Daron Acemoglu , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

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

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

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

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

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 study traffic networks with multiple origin-destination pairs, relaxing the simplifying assumption of agents having complete knowledge of the network structure. We identify a ubiquitous class of networks, i.e., rings, for which we can…

Combinatorics · Mathematics 2019-02-20 Charlotte Roman , Paolo Turrini

The objective of this paper is to study the effect of travel time information on day-to-day driver route choice behavior. A real-world experimental study is designed to have participants repeatedly choose between two alternative routes for…

Physics and Society · Physics 2020-08-11 Jinghui Wang , Hesham A. Rakha

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

Advanced traffic navigation systems, which provide routing recommendations to drivers based on real-time congestion information, are nowadays widely adopted by roadway transportation users. Yet, the emerging effects on the traffic dynamics…

Optimization and Control · Mathematics 2023-12-19 Gianluca Bianchin , Fabio Pasqualetti

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

Although routing applications increasingly affect individual mobility choices, their impact on collective traffic dynamics remains largely unknown. Smart communication technologies provide accurate traffic data for choosing one route over…

Physics and Society · Physics 2021-11-29 Verena Krall , Max F. Burg , Friedrich Pagenkopf , Henrik Wolf , Marc Timme , Malte Schröder
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