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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

The effect of signals on stability, throughput region, and delay in a two-user slotted ALOHA based random-access system with collisions is considered. This work gives rise to the development of random access G-networks, which can model…

Information Theory · Computer Science 2019-02-08 Ioannis Dimitriou , Nikolaos Pappas

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

One of the basic properties of a queueing network is stability. Roughly speaking, it is the property that the total number of jobs in the network remains bounded as a function of time. One of the key questions related to the stability issue…

Probability · Mathematics 2009-11-19 David Gamarnik , Dmitriy Katz

In this paper, we introduce a versatile scheme for optimizing the arrival rates of quasi-reversible queueing systems. We first propose an alternative definition of quasi-reversibility that encompasses reversibility and highlights the…

Machine Learning · Computer Science 2026-03-17 Céline Comte , Pascal Moyal

This paper studies the stability and dynamic control of underlay mobile edge networks. First, the stability region for a multiuser edge network is obtained under the assumption of full channel state information. This result provides a…

Information Theory · Computer Science 2018-03-29 Y. Sarikaya , H. Inaltekin , T. Alpcan , J. S. Evans

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Wei Ren , Junlin Xiong

Congestion in network occurs due to exceed in aggregate demand as compared to the accessible capacity of the resources. Network congestion will increase as network speed increases and new effective congestion control methods are needed,…

Networking and Internet Architecture · Computer Science 2009-12-08 Shakeel Ahmad , Adli Mustafa , Bashir Ahmad , Arjamand Bano , Al-Sammarraie Hosam

Congestion is said to occur in the network when the resource demands exceed the capacity and packets are lost due to too much queuing in the network. During congestion, the network throughput may drop to zero and the path delay may become…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , K. Ramakrishnan

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

A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the…

Information Theory · Computer Science 2007-11-05 Brooke Shrader , Anthony Ephremides

Admission control as a mechanism for providing QoS requires an accurate description of the requested flow as well as already admitted flows. Since 802.11 WLAN capacity is shared between flows belonging to all stations, admission control…

Networking and Internet Architecture · Computer Science 2007-05-23 Preetam Patil , Varsha Apte

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

This paper studies the problem of selecting a minimum-size set of input nodes to guarantee stability of a networked system in the presence of uncertainties and time delays. Current approaches to input selection in networked dynamical…

Optimization and Control · Mathematics 2017-12-13 Zhipeng Liu , Yao Long , Andrew Clark , Phillip Lee , Linda Bushnell , Daniel Kirschen , Radha Poovendran

Rather than directly considering the queuing delay of data, this memo focuses on reducing the delay that congestion signals experience within a queue management algorithm, which can be greater than the delay that the data itself experiences…

Networking and Internet Architecture · Computer Science 2019-04-16 Bob Briscoe

Stability with respect to a given scheduling policy has become an important issue for wireless communication systems, but it is hard to prove in particular scenarios. In this paper two simple conditions for stability in broadcast channels…

Networking and Internet Architecture · Computer Science 2009-04-16 Chan Zhou , Gerhard Wunder

Widespread use of computer networks and the use of varied technology for the interconnection of computers has made congestion a significant problem. In this report, we summarize our research on congestion avoidance. We compare the concept…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain , K. Ramakrishnan , D. Chiu

We analyze a boarding solution for a transport system in which the number of passengers allowed to enter a transport cabin is automatically controlled. Expressions charac- terizing the stochastic properties of the passenger queue length,…

Systems and Control · Computer Science 2018-09-10 Pasquale Grippa , Udo Schilcher , Christian Bettstetter

Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-dimensional, discrete-time nonlinear model for Internet…

Optimization and Control · Mathematics 2025-01-22 José M. Amigó , Guillem Duran , Angel Giménez , Oscar Martínez-Bonastre , José Valero

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen
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