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This paper firstly show that 2 Dimensional Intelligent Driver Model (Jiang et al., PloS one, 9(4), e94351, 2014) is not able to replicate the synchronized traffic flow. Then we propose an improved model by considering the difference between…

Pattern Formation and Solitons · Physics 2016-08-11 Junfang Tian , Rui Jiang , Geng Li , Martin Treiber , Chenqiang Zhu , Bin Jia

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

This paper introduces a new mobile sensor scheduling problem, involving a single robot tasked with monitoring several events of interest that occur at different locations. Of particular interest is the monitoring of transient events that…

Robotics · Computer Science 2014-09-16 Jingjin Yu , Sertac Karaman , Daniela Rus

We consider traffic flow dynamics for a network of signalized intersections, where the outflow from every link is constrained to be equal to a given capacity function if the queue length is positive, and equal to the minimum of cumulative…

Dynamical Systems · Mathematics 2017-09-13 Pouyan Hosseini , Ketan Savla

Estimation of link travel time correlation of a bus route is essential to many bus operation applications, such as timetable scheduling, travel time forecasting and transit service assessment/improvement. Most previous studies rely on…

Applications · Statistics 2024-12-24 Xiaoxu Chen , Zhanhong Cheng , Lijun Sun

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

Addressing the Integrated Timetabling and Vehicle Scheduling (TTVS) problem is important for improving transit operations. Recently, the emerging modular autonomous vehicles composed of modular autonomous units have made it possible to…

Optimization and Control · Mathematics 2026-02-09 Dongyang Xia , Jihui Ma , Shadi Sharif Azadeh

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

The continuous increase in urban deliveries and the ongoing urbanization of large cities require the development of efficient and sustainable transportation solutions. This study investigates the impact of modular vehicle concepts and the…

Optimization and Control · Mathematics 2023-05-05 Jonas Hatzenbühler , Erik Jenelius , Győző Gidófalvi , Oded Cats

For all line-based transit systems like bus, metro and tram, the routes of the lines and the frequencies at which they are operated are determining for the operational performance of the system. However, as transit line planning happens…

Optimization and Control · Mathematics 2024-05-17 Marie Schmidt , Anita Schöbel

Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in (urban) networks, we study the problem of coordinating incompatible traffic flows at intersections. Inspired by the observation of self-organized…

Physics and Society · Physics 2009-11-13 Stefan Lämmer , Dirk Helbing

Power system transient stability has been translated into a Lyapunov stability problem of the post-disturbance equilibrium for decades. Despite substantial results, conventional theories suffer from the stringent requirement of knowing the…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Peng Yang , Feng Liu , Tao Liu , David J. Hill

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

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

Physics and Society · Physics 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

In this paper, we aim to investigate the synchronization problem of dynamical systems, which can be of generic linear or Lipschitz nonlinear type, communicating over directed switching network topologies. A mild connectivity assumption on…

Systems and Control · Computer Science 2018-07-23 Jiahu Qin , Qichao Ma , Xinghuo Yu , Long Wang

The increase in congestion in surface traffic, airborne pollution, and other environmental issues have motivated the transit authorities to promote public transit worldwide. In big cities and large metropolitan areas, adding new rapid…

Optimization and Control · Mathematics 2025-12-09 Natividad González-Blanco , Antonio J. Lozano , Vladimir Marianov , Juan A. Mesa

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a…

Adaptation and Self-Organizing Systems · Physics 2013-11-28 V. H. P. Louzada , N. A. M. Araújo , J. S. Andrade , H. J. Herrmann

Urban transportation is a complex phenomenon. Since many agents are constantly interacting in parallel, it is difficult to predict the future state of a transportation system. Because of this, optimization techniques tend to give obsolete…

Adaptation and Self-Organizing Systems · Physics 2012-03-16 Carlos Gershenson
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