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Static wireless networks are by now quite well understood mathematically through the random geometric graph model. By contrast, there are relatively few rigorous results on the practically important case of mobile networks, in which the…

Probability · Mathematics 2010-07-08 Alistair Sinclair , Alexandre Stauffer

Despite the rich literature on scheduling algorithms for wireless networks, algorithms that can provide deadline guarantees on packet delivery for general traffic and interference models are very limited. In this paper, we study the problem…

Networking and Internet Architecture · Computer Science 2021-01-14 Christos Tsanikidis , Javad Ghaderi

Delay tolerant Networks (DTNs) leverage the mobility of relay nodes to compensate for lack of permanent connectivity and thus enable communication between nodes that are out of range of each other. To decrease message delivery delay, the…

Networking and Internet Architecture · Computer Science 2009-08-07 Eitan Altman , Francesco De Pellegrini , Lucile Sassatelli

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

In this paper, we study the trade-off between reliability and latency in machine type communication (MTC), which consists of single transmitter and receiver in the presence of Rayleigh fading channel. We assume that the transmitter does not…

Networking and Internet Architecture · Computer Science 2020-03-26 Fahad Qasmi , Mohammad Shehab , Hirley Alves , Matti Latva-aho

We used a large database of 9 billion calls from 20 million mobile users to examine the relationships between aggregated time spent on the phone, personal network size, tie strength and the way in which users distributed their limited time…

The volume and types of traffic data in mobile cellular networks have been increasing continuously. Meanwhile, traffic data change dynamically in several dimensions such as time and space. Thus, traffic modeling is essential for theoretical…

Networking and Internet Architecture · Computer Science 2017-04-03 Shuo Wang , Xing Zhang , Jiaxin Zhang , Jian Feng , Wenbo Wang , Ke Xin

In this paper, a network comprising wireless devices equipped with buffers transmitting deadline-constrained data packets over a slotted-ALOHA random-access channel is studied. Although communication protocols facilitating retransmissions…

Information Theory · Computer Science 2022-10-07 Nikolaos Nomikos , Themistoklis Charalambous , Yvonne-Anne Pignolet , Nikolaos Pappas

We consider a discrete-time model of continuous-time distributed optimization over dynamic directed-graphs (digraphs) with applications to distributed learning. Our optimization algorithm works over general strongly connected dynamic…

Optimization and Control · Mathematics 2024-03-27 Mohammadreza Doostmohammadian , Wei Jiang , Muwahida Liaquat , Alireza Aghasi , Houman Zarrabi

Perturbation analysis of Markov chains provides bounds on the effect that a change in a Markov transition matrix has on the corresponding stationary distribution. This paper compares and analyzes bounds found in the literature for finite…

Probability · Mathematics 2024-04-03 Karim Abbas , Joost Berkhout , Bernd Heidergott

We study the temporal robustness of stochastic signals. This topic is of particular interest in interleaving processes such as multi-agent systems where communication and individual agents induce timing uncertainty. For a deterministic…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Lars Lindemann , Alena Rodionova , George J. Pappas

In recent times we hear increasingly often about cyber attacks on various commercial and strategic sites that manage to escape any defense. In this article, we model such attacks on networks via stochastic processes and predict the time of…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

One limiting factor to the performance of mobile ad-hoc networks is the amount of interference that is experienced by each node. In this paper we use the Random Waypoint Mobility Model (RWPM) to represent such a network of mobile devices,…

Networking and Internet Architecture · Computer Science 2017-02-20 Pete Pratt , Carl P. Dettmann , Orestis Georgiou

Prior work on routing in delay tolerant networks (DTNs) has commonly made the assumption that each pair of nodes shares the same inter-contact time distribution as every other pair. The main argument in this paper is that researchers should…

Networking and Internet Architecture · Computer Science 2007-05-23 Vania Conan , Jeremie Leguay , Timur Friedman

We consider stability of scheduled multiaccess message communication with random coding and joint maximum-likehood decoding of messages. The framework we consider here models both the random message arrivals and the subsequent reliable…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

We introduce a model of information packet transport on networks in which the packets are posted by a given rate and move in parallel according to a local search algorithm. By performing a number of simulations we investigate the major…

Statistical Mechanics · Physics 2007-05-23 Bosiljka Tadic , G. J. Rodgers

In this paper, we present a detailed framework to analyze the evolution of the random topology of a time-varying wireless network via the information theoretic notion of entropy rate. We consider a propagation channel varying over time with…

Information Theory · Computer Science 2018-11-08 Arta Cika , Mihai-Alin Badiu , Justin P. Coon , Shahriar Etemadi Tajbakhsh

The problem of optimal real-time transmission of a Markov source under constraints on the expected number of transmissions is considered, both for the discounted and long term average cases. This setup is motivated by applications where…

Information Theory · Computer Science 2014-12-11 Jhelum Chakravorty , Aditya Mahajan

Complex networks are often used to represent systems that are not static but grow with time: people make new friendships, new papers are published and refer to the existing ones, and so forth. To assess the statistical significance of…

Physics and Society · Physics 2018-06-01 Zhuo-Ming Ren , Manuel Sebastian Mariani , Yi-Cheng Zhang , Matus Medo

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

Dynamical Systems · Mathematics 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi