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We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing each edge. This decoupling allows us to study the…

Optimization and Control · Mathematics 2026-03-30 Thao Le , Robbert van der Burg , Bernd Heidergott , Ines Lindner , Alessandro Zocca

This paper studies the effect of rate adaptation in time slotted Internet of things (IoT) networks. For a given time slot duration and packets size, rate adaptation necessitates packet fragmentation to fit the time slot duration. Accounting…

Information Theory · Computer Science 2020-10-21 Hesham ElSawy

Stochastic network calculus is a newly developed theory for stochastic service guarantee analysis of computer networks. In the current stochastic network calculus literature, its fundamental models are based on the cumulative amount of…

Performance · Computer Science 2011-12-14 Jing Xie , Yuming Jiang , Min Xie

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

Probability · Mathematics 2010-10-18 Maury Bramson

The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source…

Probability · Mathematics 2010-08-17 Clément Dombry , Ingemar Kaj

The topology of an instant messaging system is described. Statistical measures of the network are given and compared with the statistics of a comparable random graph. The scale-free character of the network is examined and implications are…

Statistical Mechanics · Physics 2007-05-23 Reginald D. Smith

Most optimal routing problems focus on minimizing travel time or distance traveled. Oftentimes, a more useful objective is to maximize the probability of on-time arrival, which requires statistical distributions of travel times, rather than…

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

Statistical Mechanics · Physics 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

A point-to-point wireless communication system in which the transmitter is equipped with an energy harvesting device and a rechargeable battery, is studied. Both the energy and the data arrivals at the transmitter are modeled as Markov…

Machine Learning · Computer Science 2013-05-31 Pol Blasco , Deniz Gündüz , Mischa Dohler

We study an information design problem in transportation networks, in the presence of a random state that affects the travel times on the links. An omniscient system planner -- aiming at reducing congestion -- observes the network state…

Optimization and Control · Mathematics 2025-09-04 Alexia Ambrogio , Leonardo Cianfanelli , Giacomo Como

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

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

We investigate a remote estimation problem in which a transmitter observes a Markov source and chooses the power level to transmit it over a time-varying packet-drop channel. The channel is modeled as a channel with Markovian state where…

Systems and Control · Computer Science 2021-08-27 Jhelum Chakravorty , Aditya Mahajan

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

We study benefits of opportunistic routing in a large wireless ad hoc network by examining how the power, delay, and total throughput scale as the number of source- destination pairs increases up to the operating maximum. Our opportunistic…

Information Theory · Computer Science 2016-11-18 Won-Yong Shin , Sae-Young Chung , Yong H. Lee

In studying network growth, the conventional approach is to devise a growth mechanism, quantify the evolution of a statistic or distribution (such as the degree distribution), and then solve the equations in the steady state (the…

Physics and Society · Physics 2014-11-05 Babak Fotouhi

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs as well as random graphs, and investigate their relations to classical percolation theory, more particularly the impact of Bernoulli bond…

Probability · Mathematics 2022-06-27 Claudia Klüppelberg , Ercan Sönmez

The Internet of Things (IoT) is large-scale by nature, which is manifested by the massive number of connected devices as well as their vast spatial existence. Cellular networks, which provide ubiquitous, reliable, and efficient wireless…

Information Theory · Computer Science 2017-02-28 Mohammad Gharbieh , Hesham ElSawy , Ahmed Bader , Mohamed-Slim Alouini
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