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In this paper, we study the stability of two interacting queues under random multiple access in which the queues leverage the feedback information. We derive the stability region under random multiple access where one of the two queues…

Information Theory · Computer Science 2014-01-09 Karim G. Seddik

We derive a simple sufficient condition for the local asymptotic stability of spatially discrete, continuous-time reaction-diffusion systems of networked dynamical systems at a homogeneous equilibrium point. The framework explicitly…

Dynamical Systems · Mathematics 2026-05-07 Dinesh Kumar

Necessary and sufficient conditions are established for the stability of a high-mobility N-class Aloha network, where the position of the sources follows a Poisson point process, each source has an infinity capacity buffer, packets arrive…

Information Theory · Computer Science 2024-10-30 P. S. Dester , P. Cardieri , J. M. C. Brito

In this paper we investigate the effect of spatial coupling applied to the recently-proposed coded slotted ALOHA (CSA) random access protocol. Thanks to the bridge between the graphical model describing the iterative interference…

Information Theory · Computer Science 2016-11-17 Gianluigi Liva , Enrico Paolini , Michael Lentmaier , Marco Chiani

Frame Slotted Aloha (FSA) protocol has been widely applied in Radio Frequency Identification (RFID) systems as the de facto standard in tag identification. However, very limited work has been done on the stability of FSA despite its…

Information Theory · Computer Science 2014-09-18 Jihong Yu , Lin Chen

We consider a discrete-time Markov chain $(X^t,Y^t)$, $t=0,1,2,...$, where the $X$-component forms a Markov chain itself. Assume that $(X^t)$ is Harris-ergodic and consider an auxiliary Markov chain ${\hat{Y}^t}$ whose transition…

Probability · Mathematics 2013-02-13 Sergey Foss , Seva Shneer , Andrey Tyurlikov

One of the main problems in WIMAX is to share the medium by multiple users who compete for access. Various random access mechanisms, such as ALOHA and its corresponding variations have been widely studied as efficient methods to coordinate…

Information Theory · Computer Science 2015-01-06 Abdellah Zaaloul , Mohamed Ben El Aattar , Mohamed Hanini , Abdelkrim Haqiq , Mohammed Boulmalaf

We consider a stochastic queueing system modelling the behaviour of a wireless network with nodes employing a discrete-time version of the standard decentralised medium access algorithm. The system is {\em unsaturated} -- each node receives…

Networking and Internet Architecture · Computer Science 2018-03-21 Seva Shneer , Alexander Stolyar

Random access schemes in modern wireless communications are generally based on the framed-ALOHA (f-ALOHA), which can be optimized by flexibly organizing devices' transmission and re-transmission. However, this optimization is generally…

Networking and Internet Architecture · Computer Science 2020-02-19 Nan Jiang , Yansha Deng , Arumugam Nallanathan

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya

It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

Optimization and Control · Mathematics 2012-05-18 Serdar Yüksel , Sean P. Meyn

In this paper we present a simple, stochastic-geometric model of a wireless access network exploiting the LoRA (Long Range) protocol, which is a non-expensive technology allowing for long-range, single-hop connectivity for the Internet of…

Networking and Internet Architecture · Computer Science 2019-06-19 Bartłomiej Błaszczyszyn , Paul Mühlethaler

The recent research has established an analogy between successive interference cancellation in slotted ALOHA framework and iterative belief-propagation erasure-decoding, which has opened the possibility to enhance random access protocols by…

Information Theory · Computer Science 2013-07-02 Cedomir Stefanovic , Petar Popovski

Despite the long history of research on slotted ALOHA, the exact analysis of the average delay is still in question as the performance of each node is coupled with the activity of other nodes. In this paper, we consider a network comprised…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Seyed Ali Hashemian , Farid Ashtiani

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

Massive machine-type communications protocols have typically been designed under the assumption that coordination between users requires significant communication overhead and is thus impractical. Recent progress in efficient activity…

Information Theory · Computer Science 2022-07-12 Justin Kang , Wei Yu

For the weakly interacting one-dimensional multi-particle Anderson model in the continuum space of configurations, we prove the spectral exponential and the strong dynamical localization. The results require the interaction amplitude to be…

Mathematical Physics · Physics 2016-12-04 Trésor Ekanga

Network capacity region of multi-queue multi-server queueing system with random ON-OFF connectivities and stationary arrival processes is derived in this paper. Specifically, the necessary and sufficient conditions for the stability of the…

Information Theory · Computer Science 2010-01-14 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

This paper considers the slotted ALOHA protocol in a communication channel shared by N users. It is assumed that the channel has the multiple-packet reception (MPR) capability that allows the correct reception of up to M ($1 \leq M < N$)…

Information Theory · Computer Science 2017-07-26 Yijin Zhang , Yuan-Hsun Lo , Feng Shu , Jun Li

We analyse the stability of linear dynamical systems defined on sparse, random graphs with predator-prey, competitive, and mutualistic interactions. These systems are aimed at modelling the stability of fixed points in large systems defined…

Statistical Mechanics · Physics 2025-01-30 Andrea Marcello Mambuca , Chiara Cammarota , Izaak Neri