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Public transport systems are expected to reduce pollution and contribute to sustainable development. However, disruptions in public transport such as delays may negatively affect mobility choices. To quantify delays, aggregated data from…

Machine Learning · Computer Science 2024-04-12 Przemysław Wrona , Maciej Grzenda , Marcin Luckner

Travel time prediction is a well-renowned topic of research. It is primarily influenced by traffic congestion, road conditions and route geometry. Among them route geometry at any point is not investigated enough to find a sound spatial…

Computers and Society · Computer Science 2018-07-25 Muhammad Naeem , Mehdi Katranji , Guilhem Sanmarty , Sami Kraiem , Hamza Mahdi Zargayouna , Fouad Hadj Selem

We study the role of delay in phase synchronization and phenomena responsible for cluster formation in delayed coupled maps on various networks. Using numerical simulations, we demonstrate that the presence of delay may change the mechanism…

Chaotic Dynamics · Physics 2015-03-20 Aradhana Singh , Sarika Jalan , Jürgen Kurths

With trends of urbanisation on the rise, providing adequate housing to individuals remains a complex issue to be addressed. Often, the slow output of relevant housing policies, coupled with quickly increasing housing costs, leaves…

Physics and Society · Physics 2023-07-06 Nandini Iyer , Ronaldo Menezes , Hugo Barbosa

A new public conveyance model applicable to buses and trains is proposed in this paper by using stochastic cellular automaton. We have found the optimal density of vehicles, at which the average velocity becomes maximum, significantly…

Physics and Society · Physics 2007-09-19 A. Tomoeda , K. Nishinari , D. Chowdhury , A. Schadschneider

We study the effects of propagation delays on the stochastic dynamics of bumps in neural fields with multiple layers. In the absence of noise, each layer supports a stationary bump. Using linear stability analysis, we show that delayed…

Neurons and Cognition · Quantitative Biology 2015-06-23 Zachary P. Kilpatrick

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

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

Statistical Mechanics · Physics 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

A popular method for selecting the number of clusters is based on stability arguments: one chooses the number of clusters such that the corresponding clustering results are "most stable". In recent years, a series of papers has analyzed the…

Machine Learning · Statistics 2010-07-08 Ulrike von Luxburg

In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

Optimization and Control · Mathematics 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

Chaotic Dynamics · Physics 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Various forms of disruption in transport systems perturb urban mobility in different ways. Passengers respond heterogeneously to such disruptive events based on numerous factors. This study takes a data-driven approach to explore…

Applications · Statistics 2023-07-04 Ali Shateri Benam , Angelo Furno , Nour-Eddin El Faouzi

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Communication delays and multiplexing are ubiquitous features of real-world networked systems. We here introduce a simple model where these two features are simultaneously present, and report the rich phe- nomenology which is actually due…

Chaotic Dynamics · Physics 2017-04-19 Aradhana Singh , Sarika Jalan , Stefano Boccaletti

In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble…

Analysis of PDEs · Mathematics 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

The effect of burstiness in complex networks has received considerable attention. In particular, its effect on temporal distance and delays in the air transportation system is significant owing to their huge impact on our society.…

Physics and Society · Physics 2017-02-08 Hidetaka Ito , Katsuhiro Nishinari

In an effort to improve user satisfaction and transit image, transit service providers worldwide offer delay compensations. Smart card data enables the estimation of passenger delays throughout the network and aid in monitoring service…

Physics and Society · Physics 2021-07-30 Panchamy Krishnakumari , Oded Cats , Hans van Lint

Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, we extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When…

Disordered Systems and Neural Networks · Physics 2011-11-11 Johannes M. Höfener , Gautam C. Sethia , Thilo Gross

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

Dynamical Systems · Mathematics 2026-04-20 Hui Wu

Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how various properties change with population. The empirical study of scaling on a wide range of…

Physics and Society · Physics 2018-04-18 Jules Depersin , Marc Barthelemy