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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

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

Probability · Mathematics 2017-11-28 Lam M. Nguyen , Alexander Stolyar

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

Optimization and Control · Mathematics 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

The proportionally fair sharing of the capacity of a Poisson network using Spatial-Aloha leads to closed-form performance expressions in two extreme cases: (1) the case without topology information, where the analysis boils down to a…

Networking and Internet Architecture · Computer Science 2013-08-01 François Baccelli , Bartlomiej Blaszczyszyn , Chandramani Singh

We address the problem of uncoordinated massive random-access in the Gaussian multiple access channel (MAC). The performance of low-complexity T-fold irregular repetition slotted ALOHA (IRSA) scheme is investigated and achievability bounds…

Information Theory · Computer Science 2018-11-20 Anton Glebov , Nikolay Matveev , Kirill Andreev , Alexey Frolov , Andrey Turlikov

In this paper we propose two analytically tractable stochastic models of non-slotted Aloha for Mobile Ad-hoc NETworks (MANETs): one model assumes a static pattern of nodes while the other assumes that the pattern of nodes varies over time.…

Networking and Internet Architecture · Computer Science 2010-10-28 Bartek Blaszczyszyn , Paul Muhlethaler

A particular type of random dynamical processes is considered, in which the stochasticity is introduced through randomly fluctuating parameters. A method of local multipliers is developed for treating the local stability of such dynamical…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. I. Yukalov

A discrete time stochastic model for a multiagent system given in terms of a large collection of interacting Markov chains is studied. The evolution of the interacting particles is described through a time inhomogeneous transition…

Probability · Mathematics 2011-06-17 Amarjit Budhiraja , Pierre Del Moral , Sylvain Rubenthaler

We study the stability of multi-layer radial flows in porous media within the Hele-Shaw model. We perform a linear stability analysis for radial flows consisting of an arbitrary number of fluid layers with interfaces separating fluids of…

Fluid Dynamics · Physics 2018-11-28 Craig Gin , Prabir Daripa

We consider a two station cascade system in which waiting or externally arriving customers at station $1$ move to the station $2$ if the queue size of station $1$ including a customer being served is greater than a given threshold level…

Probability · Mathematics 2023-07-13 Masakiyo Miyazawa , Evsey Morozov

We consider large but finite systems of identical agents on the line with up to next nearest neighbor asymmetric coupling. Each agent is modelled by a linear second order differential equation, linearly coupled to up to four of its…

Dynamical Systems · Mathematics 2021-07-23 J. Herbrych , A. G. Chazirakis , N. Christakis , J. J. P. Veerman

We develop a framework for communication-control co-design in a wireless networked control system with multiple geographically separated controllers and controlled systems, modeled via a Poisson point process. Each controlled system…

Information Theory · Computer Science 2024-12-02 Gourab Ghatak , Geethu Joseph , Chen Quan

Stability region of random access wireless networks is known for only simple network scenarios. The main problem in this respect is due to interaction among queues. When transmission probabilities during successive transmissions change,…

Networking and Internet Architecture · Computer Science 2014-06-18 Farzaneh Farhadi , Farid Ashtiani

This letter considers two groups of source nodes. Each group transmits packets to its own designated destination node over single-hop links and via a cluster of relay nodes shared by both groups. In an effort to boost reliability without…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

We study connectivity properties in a probabilistic model for a large mobile ad-hoc network. We consider a large number of participants of the system moving randomly, independently and identically distributed in a large domain, with a…

Probability · Mathematics 2016-06-07 Hanna Döring , Gabriel Faraud , Wolfgang König

In this paper, a random access scheme is introduced which relies on the combination of packet erasure correcting codes and successive interference cancellation (SIC). The scheme is named coded slotted ALOHA. A bipartite graph representation…

Information Theory · Computer Science 2016-11-15 Enrico Paolini , Gianluigi Liva , Marco Chiani

In this paper, the problem of using uncoordinated multiple access (UMA) to serve a massive amount of heterogeneous users is investigated. Leveraging the heterogeneity, we propose a novel UMA protocol, called iterative collision resolution…

Information Theory · Computer Science 2020-12-25 Yu-Chih Huang , Shin-Lin Shieh , Yu-Pin Hsu , Hao-Ping Cheng

We develop a practical approach to establish the stability, that is, the recurrence in a given set, of a large class of controlled Markov chains. These processes arise in various areas of applied science and encompass important numerical…

Statistics Theory · Mathematics 2015-02-02 Christophe Andrieu , Vladislav B. Tadić , Matti Vihola

In this paper, a reliability analysis is carried out to state a performance comparison between two recently proposed proactive routing algorithms. These protocols are able to scale in ad hoc and sensor networks by resorting to dynamic…

Networking and Internet Architecture · Computer Science 2008-01-29 Marcello Caleffi , Giancarlo Ferraiuolo , Luigi Paura

In this paper, we present a condition to obtain instability for a class of queueing networks where the arrival rates in each server are constant and the departure rate in each server is a decreasing function of the queue lengths of other…

Probability · Mathematics 2023-08-01 Pierre Popineau , Seva Shneer
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