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We derive a modular fluid-flow network congestion control model based on a law of fundamental nature in networks: the conservation of information. Network elements such as queues, users, and transmission channels and network performance…

Networking and Internet Architecture · Computer Science 2016-11-18 C. Briat , E. A. Yavuz , H. Hjalmarsson , K. H. Johansson , U. T. Jönsson , G. Karlsson , H. Sandberg

Control of wireless multihop networks, while simultaneously meeting end-to-end mean delay requirements of different flows is a challenging problem. Additionally, distributed computation of control parameters adds to the complexity. Using…

Networking and Internet Architecture · Computer Science 2017-11-06 Ashok Krishnan K. S. , Vinod Sharma

We investigate the mean-field dynamics of stochastic McKean differential equations with heterogeneous particle interactions described by large network structures. To express a wide range of graphs, from dense to sparse structures, we…

Analysis of PDEs · Mathematics 2024-09-18 Christian Kuehn , Tobias Wöhrer

Co-evolution exhibited by a network system, involving the intricate interplay between the dynamics of the network itself and the subsystems connected by it, is a key concept for understanding the self-organized, flexible nature of…

Physics and Society · Physics 2012-11-14 Takaaki Aoki , Toshio Aoyagi

Max weighted queue (MWQ) control policy is a widely used cross-layer control policy that achieves queue stability and a reasonable delay performance. In most of the existing literature, it is assumed that optimal MWQ policy can be obtained…

Systems and Control · Computer Science 2013-11-20 Junting Chen , Vincent K. N. Lau

We consider a wireless distributed computing system, in which multiple mobile users, connected wirelessly through an access point, collaborate to perform a computation task. In particular, users communicate with each other via the access…

Information Theory · Computer Science 2017-05-09 Songze Li , Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

The fairness of IEEE 802.11 wireless networks (including Wireless LAN and Ad-hoc networks) is hard to predict and control because of the randomness and complexity of the MAC contentions and dynamics. Moreover, asymmetric channel conditions…

Networking and Internet Architecture · Computer Science 2007-12-14 Libin Jiang , Jean Walrand

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

In this work, we study the benefit of partial relay cooperation. We consider a two-node system consisting of one source and one relay node transmitting information to a common destination. The source and the relay have external traffic and…

Information Theory · Computer Science 2017-08-23 Nikolaos Pappas , Jeongho Jeon , Di Yuan , Apostolos Traganitis , Anthony Ephremides

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

In this paper we introduce a new model of data packet transport, based on a stochastic approach with the aim of characterizing the load distribution on complex networks. Moreover we analyze the load standard deviation as an index of…

Statistical Mechanics · Physics 2007-05-23 M. di Bernardo , F. Garofalo , S. Manfredi , F. Sorrentino

In this paper, we study stability and latency of routing in wireless networks where it is assumed that no collision will occur. Our approach is inspired by the adversarial queuing theory, which is amended in order to model wireless…

Networking and Internet Architecture · Computer Science 2010-06-08 Vicent Cholvi , Dariusz R. Kowalski

This paper proposes two nonlinear dynamics to solve constrained distributed optimization problem for resource allocation over a multi-agent network. In this setup, coupling constraint refers to resource-demand balance which is preserved at…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambou

In this paper, flow models of networks without congestion control are considered. Users generate data transfers according to some Poisson processes and transmit corresponding packet at a fixed rate equal to their access rate until the…

Probability · Mathematics 2012-01-17 Mathieu Feuillet

Link dimensioning is used by ISPs to properly provision the capacity of their network links. Operators have to make provisions for sudden traffic bursts and network failures to assure uninterrupted operations. In practice, traffic averages…

Networking and Internet Architecture · Computer Science 2017-10-03 Mohammed Alasmar , Nickolay Zakhleniuk

We analyze Age of Information (AoI) in wireless networks where nodes use a spatially adaptive random access scheme to send status updates to a central base station. We show that the set of achievable AoI in this setting is convex, and…

Networking and Internet Architecture · Computer Science 2023-01-06 Nicholas Jones , Eytan Modiano

Rudimentary mathematical analysis of simple network models suggests bandwidth-independent saturation of network growth dynamics and hints at linear decrease in information density of the data. However it strongly confirms Metcalfe's law as…

Networking and Internet Architecture · Computer Science 2016-04-20 Dmitri Nosovicki

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector…

Optimization and Control · Mathematics 2014-03-25 Iasson Karafyllis , Markos Papageorgiou

We develop a simple model for the timely monitoring of correlated sources over a wireless network. Using this model, we study how to optimize weighted-sum average Age of Information (AoI) in the presence of correlation. First, we discuss…

Networking and Internet Architecture · Computer Science 2022-08-04 Vishrant Tripathi , Eytan Modiano

One formal way of studying cooperation and incentive mechanisms in wireless ad hoc networks is to use game theory. In this respect, simple interaction models such as the forwarder's dilemma have been proposed and used successfully. However,…

Networking and Internet Architecture · Computer Science 2020-12-04 Sara Berri , Samson Lasaulce , Mohammed Said Radjef
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