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We analyze the stability of the Rate Control Protocol (RCP) using two different models that have been proposed in literature. Our objective is to better understand the impact of the protocol parameters and the effect different forms of…

Networking and Internet Architecture · Computer Science 2016-03-22 Abhijit Kiran Valluri

The fluid model has proven to be one of the most effective tools for the analysis of stochastic queueing networks, specifically for the analysis of stability. It is known that stability of a fluid model implies positive (Harris) recurrence…

Probability · Mathematics 2007-05-23 David Gamarnik , John Hasenbein

We prove two propositions with conditions that a system, which is described by a transient Markov chain, will display local stability. Examples of such systems include partly overloaded Jackson networks, partly overloaded polling systems,…

Probability · Mathematics 2020-06-22 Ivo Adan , Sergey Foss , Seva Shneer , Gideon Weiss

A problem with considering correlations in the analysis of multiagent system with stochastic packet loss is that they induce dependencies between agents that are otherwise decoupled, preventing the application of decomposition methods…

Optimization and Control · Mathematics 2024-03-27 Christian Hespe , Adwait Datar , Herbert Werner

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

Probability · Mathematics 2016-09-09 Lam Nguyen , Alexander Stolyar

The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

Physics and Society · Physics 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

We propose a novel distributed random access scheme for wireless networks based on slotted ALOHA, motivated by the analogies between successive interference cancellation and iterative belief-propagation decoding on erasure channels. The…

Information Theory · Computer Science 2016-11-15 Cedomir Stefanovic , Petar Popovski , Dejan Vukobratovic

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

Networking and Internet Architecture · Computer Science 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

We investigate the age-of-information (AoI) in the context of random access networks, in which transmitters need to send a sequence of information packets to the intended receivers over a shared spectrum. Due to interference, the dynamics…

Information Theory · Computer Science 2021-09-21 Howard H. Yang , Ahmed Arafa , Tony Q. S. Quek , H. Vincent Poor

In this paper, a cooperative protocol is investigated for a multi-hop network consisting of relays with buffers of finite size, which may operate in different communication modes. The protocol is based on the myopic decode-and-forward…

Information Theory · Computer Science 2022-02-23 Andreas Nicolaides , Constantinos Psomas , Ioannis Krikidis

This paper presents a self-organizing protocol for dynamic (unstructured P2P) overlay networks, which allows to react to the variability of node arrivals and departures. Through local interactions, the protocol avoids that the departure of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-10 Stefano Ferretti

Motivated by the need to hide the complexity of the physical layer from performance analysis in a layer 2 protocol, a class of abstract receivers, called Poisson receivers, was recently proposed in [1] as a probabilistic framework for…

Networking and Internet Architecture · Computer Science 2025-07-17 Tzu-Hsuan Liu , Che-Hao Yu , Yi-Jheng Lin , Cheng-Shang Chang , Duan-Shin Lee

In this paper we establish a necessary and sufficient stability condition for a stochastic ring network. Such networks naturally appear in a variety of applications within communication, computer, and road traffic systems. They typically…

Probability · Mathematics 2023-09-04 Jaap Storm , Wouter Kager , Michel Mandjes , Sem Borst

In this paper, we study a layered random access scheme based on non-orthogonal multiple access (NOMA) to improve the throughput of multichannel ALOHA. At a receiver, successive interference cancellation (SIC) is carried out across layers to…

Information Theory · Computer Science 2017-12-11 Jinho Choi

We consider protocols that serve communication requests arising over time in a wireless network that is subject to interference. Unlike previous approaches, we take the geometry of the network and power control into account, both allowing…

Networking and Internet Architecture · Computer Science 2012-03-07 Thomas Kesselheim

Multiple dynamic pathways always exist in biological networks, but their robustness against internal fluctuations and relative stability have not been well recognized and carefully analyzed yet. Here we try to address these issues through…

Molecular Networks · Quantitative Biology 2015-11-27 Yongyi Guo , Zhiyi You , Min Qian , Hao Ge

We propose a contention-based random-access protocol, designed for wireless networks where the number of users is not a priori known. The protocol operates in rounds divided into equal-duration slots, performing at the same time estimation…

Information Theory · Computer Science 2012-10-03 Čedomir Stefanović , Kasper F. Trilingsgaard , Nuno K. Pratas , Petar Popovski

We consider a dynamical linear network where nearest neighbours communicate via links whose states form binary (open/closed) valued independent and identically distributed Markov processes. Our main result is the tight information-theoretic…

Information Theory · Computer Science 2007-07-16 Oskari Ajanki , Antti Knowles

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

Optimization and Control · Mathematics 2010-09-08 Debasish Chatterjee , Daniel Liberzon

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