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A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

Networking and Internet Architecture · Computer Science 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury

Most existing works on transportation dynamics focus on networks of a fixed structure, but networks whose nodes are mobile have become widespread, such as cell-phone networks. We introduce a model to explore the basic physics of…

Physics and Society · Physics 2015-05-30 Han-Xin Yang , Wen-Xu Wang , Yan-Bo Xie , Ying-Cheng Lai , Bing-Hong Wang

We examine traveling-wave solutions on a regular ring network with one additional long-range link that spans a distance d. The nodes obey the FitzHugh-Nagumo kinetics in the excitable regime. The additional shortcut induces a plethora of…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Thomas Isele , Benedikt Hartung , Philipp Hövel , Eckehard Schöll

In this paper, we study stability and latency of routing in wireless networks where it is assumed that no collision will occur. Our approach is inspired by the adversarial queuing theory, which is amended in order to model wireless…

Networking and Internet Architecture · Computer Science 2010-06-08 Vicent Cholvi , Dariusz R. Kowalski

Non-recurrent congestion is a major problem in traffic networks that causes unexpected delays during travels. In such a scenario, it is preferable to use adaptive paths or policies where next link decisions on reaching junctions are…

Systems and Control · Computer Science 2018-11-07 Hemant Gehlot , Satish V. Ukkusuri

Classical percolation theory underlies many processes of information transfer along the links of a network. In these standard situations, the requirement for two nodes to be able to communicate is the presence of at least one uninterrupted…

Statistical Mechanics · Physics 2023-10-25 Lorenzo Cirigliano , Claudio Castellano , Gábor Timár

This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are inherently modeled in discrete time-such as opinion…

Physics and Society · Physics 2025-11-25 Amirhossein Nazerian , MAlbor Asllani , Melvyn Tyloo , Francesco Sorrentino

We analyze a simple network where a source and a receiver are connected by a line of erasure channels of different reliabilities. Recent prior work has shown that random linear network coding can achieve the min-cut capacity and therefore…

Information Theory · Computer Science 2009-10-22 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

We study high-density traffic of information packets on sparse modular networks with scale-free subgraphs. With different statistical measures we distinguish between the free flow and congested regime and point out the role of modules in…

Physics and Society · Physics 2015-05-13 Bosiljka Tadić , Marija Mitrović

In this paper, we address the problem of broadcasting in a wireless network under a novel communication model: the {\em swamping} communication model. In this model, nodes communicate only with those nodes at geometric distance greater than…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-10 Evangelos Kranakis , Michel Paquette

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

This paper studies the heavy-traffic (HT) behaviour of queueing networks with a single roving server. External customers arrive at the queues according to independent renewal processes and after completing service, a customer either leaves…

Probability · Mathematics 2016-11-09 Marko Boon , Rob van der Mei , Erik Winands

Time-triggered messages are of crucial importance in modern communication networks. Offline-generated schedules, which specify start times for periodic messages, enable us to achieve deterministic behavior in critical applications. In…

Networking and Internet Architecture · Computer Science 2026-03-06 Josef Grus , Zdeněk Hanzálek , Claire Hanen

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

The prediction of both the existence and weight of network links at future time points is essential as complex networks evolve over time. Traditional methods, such as vector autoregression and factor models, have been applied to small,…

General Economics · Economics 2024-10-15 Shu Takahashi , Kento Yamamoto , Shumpei Kobayashi , Ryoma Kondo , Ryohei Hisano

In the conventional theory of hopping transport the positions of localized electronic states are assumed to be fixed, and thermal fluctuations of atoms enter the theory only through the notion of phonons. On the other hand, in 1D and 2D…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. V. Plyukhin

We study the stable phases of an attractor neural network model, with binary units, for hippocampal place cells encoding 1D or 2D spatial maps or environments. Using statistical mechanics tools we show that, below critical values for the…

Statistical Mechanics · Physics 2013-06-26 Rémi Monasson , Sophie Rosay

In this paper the problem of information dissemination in Mobile Ad-hoc Networks (MANET) is studied. The problem is to disseminate a piece of information, initially held by a distinguished source node, to all nodes in a set defined by some…

Data Structures and Algorithms · Computer Science 2011-06-01 Martin Farach-Colton , Antonio Fernandez Anta , Alessia Milani , Miguel A. Mosteiro , Shmuel Zaks

We investigate the percentage of delivering capacities that are actually consumed in a typical traffic dynamics where the capacities are uniformly assigned over a scale-free network. Theoretical analysis, as well as simulations, reveal that…

Statistical Mechanics · Physics 2007-05-23 Shan He , Sheng Li , Hongru Ma

Stochastic networks based on random point sets as nodes have attracted considerable interest in many applications, particularly in communication networks, including wireless sensor networks, peer-to-peer networks and so on. The study of…

Probability · Mathematics 2020-08-26 Subhroshekhar Ghosh , Kumarjit Saha