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In this paper, we propose a nonlinear transport model for an aviation network. The takeoff rate from an airport is characterized by the degree of ground congestion. Due to the effect of "surface congestion," the performance of an airport…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Katsuhiro Nishinari

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

Air transport is a key infrastructure of modern societies. In this paper we review some recent approaches to air transport, which make extensive use of theory of complex networks. We discuss possible networks that can be defined for the air…

Physics and Society · Physics 2015-06-15 Massimiliano Zanin , Fabrizio Lillo

En-route congestion causes delays in air traffic networks and will become more prominent as air traffic demand will continue to increase yet airspace volume cannot grow. However, most existing studies on flight delay modeling do not…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Yu Lin , Lishuai Li , Pan Ren , Yanjun Wang , W. Y. Szeto

Limiting flight delays during operations has become a critical research topic in recent years due to their prohibitive impact on airlines, airports, and passengers. A popular strategy for addressing this problem considers the uncertainty of…

Optimization and Control · Mathematics 2021-09-01 Sujeevraja Sanjeevi , Saravanan Venkatachalam

In real-world networks the interactions between network elements are inherently time-delayed. These time-delays can not only slow the network but can have a destabilizing effect on the network's dynamics leading to poor performance. The…

Optimization and Control · Mathematics 2024-09-23 David Reber , Benjamin Webb

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

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

A major source of delays in public transportation is the clustering instability, which causes late buses to become progressively later while the buses trailing it become progressively earlier. In this paper, we study this instability and…

Physics and Society · Physics 2023-08-21 Sam A. Hill

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

Railway systems form an important means of transport across the world. However, congestions or disruptions may significantly decrease these systems' efficiencies, making predicting and understanding the resulting train delays a priority for…

Physics and Society · Physics 2021-05-14 Mark M. Dekker , Alexey N. Medvedev , Jan Rombouts , Grzegorz Siudem , Liubov Tupikina

Within the endeavour of modelling and understanding the propagation of delays in transportation networks, an approach that has attracted increasing interest in the last decade is the creation of functional network representations. These…

Physics and Society · Physics 2025-10-08 Carlson Moses Büth , Massimiliano Zanin

Air transportation has been becoming a major part of transportation infrastructure worldwide. Hence the study of the Airports Networks, the backbone of air transportation, is becoming increasingly important. In complex systems domain,…

Physics and Society · Physics 2008-05-08 Ganesh Bagler

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

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

Although delay-based congestion control protocols such as FAST promise to deliver better performance than traditional TCP Reno, they have not yet been widely incorporated to the Internet. Several factors have contributed to their lack of…

Networking and Internet Architecture · Computer Science 2014-05-22 Miguel Rodríguez Pérez , Sergio Herrería-Alonso , Manuel Fernández-Veiga , Cándido López-García

The aviation industry has experienced constant growth in air traffic since the deregulation of the U.S. airline industry in 1978. As a result, flight delays have become a major concern for airlines and passengers, leading to significant…

Machine Learning · Computer Science 2024-09-04 Rajesh Kumar Jha , Shashi Bhushan Jha , Vijay Pandey , Radu F. Babiceanu

This paper investigates the evolving causal mechanisms of flight delays in the U.S. domestic aviation network from 2010-2024. Utilizing a three-level hierarchical Bayesian model on Bureau of Transportation Statistics (BTS) on-time…

Applications · Statistics 2026-03-26 Shuo Liu , John Mott

In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases,…

Over the past decades, network systems have surged in significance, driven by merging technological advancements. These systems play pivotal roles in diverse applications ranging from autonomous driving to smart grids, yet they confront…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Gang Wang , Wenjie Liu , Yifei Li , Xin Wang , Jian Sun , Jie Chen