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Congestion is an important issue which researchers focus on in the Transmission Control Protocol (TCP) network environment. To keep the stability of the whole network, congestion control algorithms have been extensively studied. Queue…

Performance · Computer Science 2010-07-15 G. F. Ali Ahammed , Reshma Banu

Diffusion processes have been widely used for approximations in the queueing theory. There are different types of diffusion approximations. Among them, we are interested in those obtained through limits of a sequence of models which…

Probability · Mathematics 2015-01-20 Masakiyo Miyazawa

Congestion is an important issue which researchers focus on in the Transmission Control Protocol (TCP) network environment. To keep the stability of the whole network, congestion control algorithms have been extensively studied. Queue…

Networking and Internet Architecture · Computer Science 2010-03-23 G. F. Ali Ahammed , Reshma Banu

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

Probability · Mathematics 2016-09-08 Young Myoung Ko , Natarajan Gautam

Active Queue Management (AQM) for mitigating Internet congestion has been addressed via various feedback control syntheses, among which P, PI, and PID regulators are quite popular and often associated to a Smith predictor. Here, to better…

Systems and Control · Electrical Eng. & Systems 2023-01-25 Céfric Join , Hugues Mounier , Emmanuel Delaleau , Michel Fliess

We propose a unified approach to establishing diffusion approximations for queues with impatient customers within a general framework of scaling customer patience time. The approach consists of two steps. The first step is to show that the…

Probability · Mathematics 2015-10-06 Junfei Huang , Hanqin Zhang , Jiheng Zhang

The objective of this paper is to implement the Active Network based Active Queue Management Technique for providing Quality of Service (QoS) using Network Processor(NP) based router to enhance multimedia applications. The performance is…

Networking and Internet Architecture · Computer Science 2010-04-13 N. Saravana Selvam , S. Radhakrishnan

Active Queue Management (AQM) is a key congestion control scheme that aims to find a balance between keeping high link utilization, minimizing queuing delays, and ensuring a fair share of the bandwidth between the competing flows.…

Networking and Internet Architecture · Computer Science 2024-02-08 Abderrahmane Boudi , Malik Loudini

Consider a single server queue with renewal arrivals and i.i.d. service times in which the server operates under a processor sharing service discipline. To describe the evolution of this system, we use a measure valued process that keeps…

Probability · Mathematics 2007-05-23 H. Christian Gromoll

Recent research has shown the link between congestion control in communication networks and feedback control system. In this paper, the design of an active queue management (AQM) which can be viewed as a controller, is considered. Based on…

Networking and Internet Architecture · Computer Science 2009-02-06 Yassine Ariba , Yann Labit , Frédéric Gouaisbaut

This paper studies a diffusion model that arises as the limit of a queueing system scheduling problem in the asymptotic heavy traffic regime of Halfin and Whitt. The queueing system consists of several customer classes and many servers…

Probability · Mathematics 2007-05-23 Rami Atar

The basic idea behind an active queue management (AQM) is to sense the congestion level within the network and inform the packet sources about, so that they reduce their sending rate. In literature a lot off mechanisms of AQM are studied.…

Networking and Internet Architecture · Computer Science 2013-04-12 Mohamed Hanini , Said El Kafhali , Abdelkrim Haqtq , Amine Berqta

Motivated by call center practice, we propose a tractable model for $\mbox{GI}/\mbox{GI}/n+\mbox{GI}$ queues in the efficiency-driven (ED) regime. We use a one-dimensional diffusion process to approximate the virtual waiting time process…

Probability · Mathematics 2015-09-17 Shuangchi He

Active Queue Management(AQM) is an efficient tool in the network to avoid saturation of the queue by warning the sender that the queue is almost full to reduce its speed before the queue is full. The buffer management schemes focus on space…

Networking and Internet Architecture · Computer Science 2013-04-12 Said El Kafhali , Mohamed Hanini , Abdelali El Bouchti , Abdelkrim Haqtq

This paper considers a multiclass processor-sharing queue with feedback. Jobs arrive according to renewal processes, and service times follow general distributions. Upon service completion, jobs may either depart the system or re-enter as a…

Probability · Mathematics 2025-04-30 Mohamed Ghazali , Abdelghani Ben Tahar , Amal Ezzidani

Active Queue Management (AQM) aims to prevent bufferbloat and serial drops in router and switch FIFO packet buffers that usually employ drop-tail queueing. AQM describes methods to send proactive feedback to TCP flow sources to regulate…

Performance · Computer Science 2023-04-25 Sounak Kar , Bastian Alt , Heinz Koeppl , Amr Rizk

Active Queue Management (AQM) for mitigating Internet congestion has been addressed via various feedback control syntheses, especially P, PI, and PID regulators, by using a linear approximation where the ``round trip time'', i.e., the…

Networking and Internet Architecture · Computer Science 2023-02-21 Hugues Mounier , Cédric Join , Emmanuel Delaleau , Michel Fliess

In this paper, we consider modeling time-dependent multi-server queues that include abandonments and retrials. For the performance analysis of those, fluid and diffusion models called "strong approximations" have been widely used in the…

Probability · Mathematics 2009-11-13 Young Myoung Ko , Natarajan Gautam

As more end devices are getting connected, the Internet will become more congested. Various congestion control techniques have been developed either on transport or network layers. Active Queue Management (AQM) is a paradigm that aims to…

Networking and Internet Architecture · Computer Science 2019-09-19 Cesar A. Gomez , Xianbin Wang , Abdallah Shami

Currently, there is no general theory for deriving diffusion approximations of queueing systems with high- or infinite-dimensional state descriptors. In this paper, we explore one path for deriving diffusion limit equations of queueing…

Probability · Mathematics 2026-05-28 Eva H Loeser
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