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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 transmission of packets over queue-length sensitive unreliable links, where packets are randomly corrupted through a noisy channel whose transition probabilities are modulated by the queue-length. The goal is to characterize the…

Information Theory · Computer Science 2020-09-01 Daewon Seo , Avhishek Chatterjee , Lav R. Varshney

We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson…

Information Theory · Computer Science 2020-10-15 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

Queueing networks are notoriously difficult to analyze sans both Markovian and stationarity assumptions. Much of the theoretical contribution towards performance analysis of time-inhomogeneous single class queueing networks has focused on…

Probability · Mathematics 2017-08-22 Harsha Honnappa , Rahul Jain

In this letter, we characterize the performance of broadcast approach with continuum of transmission layers in random wireless networks where the channel state information (CSI) is assumed to be known only at the receiver. By modeling the…

Information Theory · Computer Science 2019-04-09 Praful D. Mankar , Harpreet S. Dhillon

In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson process and packet sizes (hence service…

Probability · Mathematics 2015-08-28 Wanyang Dai

We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

This paper studies the network throughput and transport delay of a multihop wireless random access network based on a Markov renewal model of packet transportation. We show that the distribution of the source-to-destination (SD) distance…

Networking and Internet Architecture · Computer Science 2008-05-12 Lin Dai , Tony T. Lee

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

Information Theory · Computer Science 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

We consider a horizontal traffic queue (HTQ) on a periodic road segment, where vehicles arrive according to a spatio-temporal Poisson process, and depart after traveling a distance that is sampled independently and identically from a…

Dynamical Systems · Mathematics 2016-05-25 Mohammad Motie , Ketan Savla

This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the number of arrivals in a given time window exceeds the…

Probability · Mathematics 2020-04-21 Onno Boxma , Mariska Heemskerk , Michel Mandjes

In time-domain measurements of a Poisson two-level system, the observed transition rates are always smaller than those of the actual system, a general consequence of finite measurement bandwidth in an experiment. This underestimation of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. Naaman , J. Aumentado

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

Probability · Mathematics 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

We study the information-theoretic limit of reliable information processing by a server with queue-length dependent quality of service. We define the capacity for such a system as the number of bits reliably processed per unit time, and…

Information Theory · Computer Science 2016-03-08 Avhishek Chatterjee , Daewon Seo , Lav R. Varshney

We derive a large deviation principle for the space-time evolution of users in a relay network that are unable to connect due to capacity constraints. The users are distributed according to a Poisson point process with increasing intensity…

Probability · Mathematics 2017-12-12 Christian Hirsch , Benedikt Jahnel

Inspired by the work of Atar and Miyazawa [1] (2026) as well as applications to energy-saving problems, we are interested in the heavy-traffic limit of the stationary queue length distribution, which is not addressed in [1]. In this paper,…

Probability · Mathematics 2026-04-13 Masahiro Kobayashi , Masakiyo Miyazawa , Yutaka Sakuma

We study the behavior of epidemic routing in a delay tolerant network as a function of node density. Focusing on the probability of successful delivery to a destination within a deadline (PS), we show that PS experiences a phase transition…

Networking and Internet Architecture · Computer Science 2020-02-13 Leila Rashidi , Don Towsley , Arman Mohseni-Kabir , Ali Movaghar

Throughput and energy efficiency in fading channels are studied in the presence of randomly arriving data and statistical queueing constraints. In particular, Markovian arrival models including discrete-time Markov, Markov fluid, and…

Information Theory · Computer Science 2015-09-15 Mustafa Ozmen , M. Cenk Gursoy

In this paper we examine rigorously the evidence for dependence among data size, transfer rate and duration in Internet flows. We emphasize two statistical approaches for studying dependence, including Pearson's correlation coefficient and…

Applications · Statistics 2010-10-07 Cheolwoo Park , Felix Hernández-Campos , J. S. Marron , Kevin Jeffay , F. Donelson Smith

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara