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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

Ride sharing services combine trips of multiple users in the same vehicle and may provide more sustainable transport than private cars. As mobility demand varies during the day, the travel times experienced by passengers may substantially…

Physics and Society · Physics 2023-06-26 Charlotte Lotze , Philip Marszal , Malte Schröder , Marc Timme

We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and…

Statistical Mechanics · Physics 2020-03-17 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

Vehicle-based mobile sensing (a.k.a drive-by sensing) is an important means of surveying urban environment by leveraging the mobility of public or private transport vehicles. Buses, for their extensive spatial coverage and reliable…

Optimization and Control · Mathematics 2022-11-28 Dai Zhuang , Ke Han

We present BusTr, a machine-learned model for translating road traffic forecasts into predictions of bus delays, used by Google Maps to serve the majority of the world's public transit systems where no official real-time bus tracking is…

Machine Learning · Computer Science 2020-07-03 Richard Barnes , Senaka Buthpitiya , James Cook , Alex Fabrikant , Andrew Tomkins , Fangzhou Xu

Cavitation is a general phenomenon of the fluid flows with obstacles. It appears in the cooling conduits of the fast nuclear engines. A model of this phenomenon using the theory of Laplace and a common non-convex energy for the liquid and…

Classical Physics · Physics 2008-08-01 Henri Gouin , Laurent Espanet

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

We consider the problem when there are two kinds of Bosons with an attraction between them. We find the system to consist of two Bose condensates with an additional pairing order between the Bosons. The properties of this state are…

Quantum Gases · Physics 2016-04-21 S. T. Chui

We consider emergent situations that require transporting individuals from their locations to a facility using a single capacitated vehicle, where transportation duration has a negative impact on the individuals. A dispatcher determines…

Optimization and Control · Mathematics 2024-07-02 Bahar Cavdar , Joseph Geunes , Xiaofeng Nie , Yue Wang

Traffic assignment is a core component of many urban transport planning tools. It is used to determine how traffic is distributed over a transportation network. We study the task of computing traffic assignments for public transport: Given…

Data Structures and Algorithms · Computer Science 2024-08-13 Julian Patzner , Matthias Müller-Hannemann

In this paper, we analyze a polling system on a circle with. Random batches of customers arrive at a circle, where each customer, independently, obtains a location according to a general distribution. A single server cyclically travels over…

Probability · Mathematics 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

Research in transportation frequently involve modelling and predicting attributes of events that occur at regular intervals. The event could be arrival of a bus at a bus stop, the volume of a traffic at a particular point, the demand at a…

Machine Learning · Computer Science 2015-08-14 Narayanan U. Edakunni , Aditi Raghunathan , Abhishek Tripathi , John Handley , Fredric Roulland

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single server cyclically travels over the circle to serve all…

Probability · Mathematics 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

We study network traffic dynamics in a two dimensional communication network with regular nodes and hubs. If the network experiences heavy message traffic, congestion occurs due to finite capacity of the nodes. We discuss strategies to…

Statistical Mechanics · Physics 2007-05-23 Brajendra K. Singh , Neelima Gupte

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space…

Data Structures and Algorithms · Computer Science 2018-12-04 Yang Liu , Sebastien Blandin , Samitha Samaranayake

The phenomenon of real-space condensation is encountered in a variety of situations such as aggregation and fragmentation processes, granular clustering, phase separation, traffic and networks. Unlike traditional Bose-Einstein condensation…

Statistical Mechanics · Physics 2009-04-28 Satya N. Majumdar

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

The problem of branched transportation aims to describe the movement of masses when, due to concavity effects, they have the interest to travel together as much as possible, because the cost for a path of length

Optimization and Control · Mathematics 2010-05-02 Lorenzo Brasco , Giuseppe Buttazzo , Filippo Santambrogio

The growth of transportation networks and their increasing interconnections, although positive, has the downside effect of an increasing complexity which make them difficult to use, to assess, and limits their efficiency. On average in the…

Physics and Society · Physics 2014-11-06 Riccardo Gallotti , Marc Barthelemy

Dietrich Braess while working on traffic modelling, noticed that traffic flow in a network can be worsened by adding extra edges to an existing network. This seemingly counterintuitive phenomenon is known as the Braess paradox. We consider…

Quantum Physics · Physics 2021-12-03 Abhishek Banerjee , Pratapaditya Bej