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Modelling and Stability of Fast TCP [chapter]

Jiantao Wang, David X. Wei, Joon-Young Choi, Steven H. Low
2007 IMA Volumes in Mathematics and its Applications  
We discuss the modelling of FAST TCP and prove four stability results.  ...  Using the traditional continuous-time flow model, we prove, for general networks, that FAST TCP is globally asymptotically stable when there is no feedback delay and that it is locally asymptotically stable  ...  In Sections 4, we analyze the stability of FAST TCP using the discretetime model.  ... 
doi:10.1007/978-0-387-48945-2_14 fatcat:re7hvxl3wfgn5ckk5eue2y3lci

An Accurate Link Model and Its Application to Stability Analysis of FAST TCP

A. Tang, K. Jacobsson, L. L. H. Andrew, S. H. Low
2007 IEEE INFOCOM 2007 - 26th IEEE International Conference on Computer Communications  
The analysis highlights the critical role of self-clocking in TCP stability and the scalability of FAST TCP with respect to delay.  ...  We then apply this model to the stability analysis of FAST TCP. It is shown that FAST TCP flows over a single link are always linearly stable regardless of delay distribution.  ...  This is part of the Caltech FAST Project supported by NSF, Caltech Lee Center for Advanced Networking, ARO, AFOSR, and Cisco.  ... 
doi:10.1109/infcom.2007.27 dblp:conf/infocom/TangJAL07 fatcat:qdriukw6f5hajcovpno7mnyuwq

Modelling and stability of FAST TCP

Jiantao Wang, D.X. Wei, S.H. Low
Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies.  
Abskuct-We introduce a discrete-time model of FAST TCP that fully captures the effect of self-clocking, and compare it with the traditional continuous-time model.  ...  The techniques developed here are new and applicable to other protocols. lnder Terms-Congestion control, FAST TCP, Local stability, Global stability 938 0-7803-8968  ...  We analyze the stability of FAST TCP using the discrete-time model in Sections IV and V.  ... 
doi:10.1109/infcom.2005.1498323 dblp:conf/infocom/WangWL05 fatcat:po4v2zzn55ethn544psvg77i5e

FAST TCP over optical burst switched networks: Modeling and stability analysis

Basem Shihada, Sami El-Ferik, Pin-Han Ho
2013 Optical Switching and Networkning Journal  
This paper provides a continuous time model and extensive stability analysis of FAST TCP congestion-control mechanism in bufferless Optical Burst Switched Networks (OBS).  ...  Second, it shows that FAST TCP is vulnerable to burst delay and fails to detect network congestion due to the little variation of round-trip time, thus unstable.  ...  CONCLUSIONS In this work, we introduced a model and stability analysis of FAST TCP over OBS networks.  ... 
doi:10.1016/j.osn.2012.09.001 fatcat:xrfpfjjrqreevdsbcc5smcdnme

Global Exponential Stability of FAST TCP

Joon-Young Choi, Kyungmo Koo, David X. Wei, Jin S. Lee, Steven H. Low
2006 Proceedings of the 45th IEEE Conference on Decision and Control  
The simulation results illustrate the validity of the proposed model and the global exponential stability of FAST TCP.  ...  We propose a continuous-time dynamic model for the FAST TCP sources and a static model to describe the queuing delay behavior at the link.  ...  The simulation results illustrate the validity of the proposed model and the global exponential stability of FAST TCP. Fig. 1.  ... 
doi:10.1109/cdc.2006.377711 dblp:conf/cdc/ChoiKWLL06 fatcat:nq5jxdcn3fgapcr76jahrfevla

Parameter Conditions for Global Stability of FAST TCP

Kyungmo Koo, Joon-Young Choi, J.S. Lee
2008 IEEE Communications Letters  
Based on a continuous-time dynamic model of FAST TCP and a static approximation of queuing delay at the link, we derive stability conditions for FAST TCP.  ...  In this letter, we study the global asymptotic stability of FAST TCP in the presence of network feedback delays.  ...  With the help of this model transformation technique, we derive another stability condition of FAST TCP in the following theorem.  ... 
doi:10.1109/lcomm.2008.071633 fatcat:b4bud3i7mjfprex5alalv66ygm

Global Asymptotic Stability of FAST TCP Network with Heterogeneous Feedback Delays

Joon-Young CHOI, Kyungmo KOO, Jin Soo LEE
2010 IEICE transactions on communications  
We adopt a continuous-time dynamic model for FAST TCP sources, and propose a static model to adequately describe the queuing delay dynamics at the link.  ...  Based on the proposed model, we establish sufficient conditions for the boundedness of congestion window of each source and for the global asymptotic stability.  ...  With a new accurate link model, the local stability of FAST TCP was analyzed for a single-link network in [10] .  ... 
doi:10.1587/transcom.e93.b.571 fatcat:exqa5ktmlbairdfqc5xvixe4h4

Hopf Bifurcation Control in a FAST TCP and RED Model via Multiple Control Schemes

Dawei Ding, Chun Wang, Lianghui Ding, Nian Wang, Dong Liang
2016 Journal of Control Science and Engineering  
We focus on the Hopf bifurcation control problem of a FAST TCP model with RED gateway.  ...  The system gain parameter is chosen as the bifurcation parameter, and the stable region and stability condition of the congestion control model are given by use of the linear stability analysis.  ...  Hopf Bifurcation in Fast TCP and RED Model In this section, we show the main results of Hopf bifurcation for the FAST TCP model in [10] .  ... 
doi:10.1155/2016/8342652 fatcat:ouu34j7xk5bbzdot6k6t2nwm5i

Stability and throughput of FAST transfer control protocol traffic in bi-directional connections

F. Ge, L. Tan, R.A. Kennedy
2010 IET Communications  
Furthermore, the authors establish the conditions under which the bi-directional FAST TCP flows achieve stability, and on this basis the throughput rates of the forward and backward flows at steady-state  ...  The authors find that, in the case of bandwidth asymmetry and one flow in each direction, in equilibrium the throughput of the bi-directional FAST TCP flows can only achieve the smaller link capacity of  ...  Acknowledgments This research was partially supported by the Program NCET-05-0673, the key project (no 108166) from Chinese Ministry of Education and partially by the Australian Research Council (ARC).  ... 
doi:10.1049/iet-com.2009.0268 fatcat:44tyxbxwcrhjzogvnlrigxbx3i

Global Exponential Stability of FAST TCP with Heterogeneous Time-Varying Delays

Joon-Young CHOI, Kyungmo KOO, Jin Soo LEE
2011 IEICE transactions on communications  
We address the stability property of the FAST TCP congestion control algorithm.  ...  Simulation results demonstrate the validity of the global exponential stability of FAST TCP.  ...  The local stability of FAST TCP is investigated in [6], [10]-[12] by linearizing the nonlinear dynamic model of FAST TCP around the equilibrium points. (2010-0015549).  ... 
doi:10.1587/transcom.e94.b.1868 fatcat:y22deypewjcelkulos3pb7bgdq

FAST TCP: Motivation, Architecture, Algorithms, Performance

David X. Wei, Cheng Jin, Steven H. Low, Sanjay Hegde
2006 IEEE/ACM Transactions on Networking  
We evaluate it experimentally in terms of throughput, fairness, stability, and responsiveness.  ...  We describe the architecture and summarize some of the algorithms implemented in our prototype. We characterize its equilibrium and stability properties.  ...  We now provide an analytical evaluation of FAST TCP. We present a model of the window control algorithm for a network of FAST flows.  ... 
doi:10.1109/tnet.2006.886335 fatcat:44kv2mbwqbhetbgjb2clf6pzcq

Queuing dynamics and single-link stability of delay-based window congestion control

Yueping Zhang, Yong Xiong, Steve Liu, Dmitri Loguinov
2010 Computer Networks  
As one example, we show that stability conditions of FAST TCP based on traditional queuing models [17] that do not considering transient dynamics of the queues are inconsistent with ns2 simulations.  ...  However, as demonstrated in this paper, existing window-based queueing models [26, 30] are often not capable of precisely capturing the transient behavior (i.e., self-clocking and burstiness) of TCP-like  ...  Using this model, we next prove stability of FAST TCP under homogeneous delay.  ... 
doi:10.1016/j.comnet.2009.10.011 fatcat:f4feij5ggna4hgpauzzww6mxhe

An Improved Link Model for Window Flow Control and Its Application to FAST TCP

K. Jacobsson, L.L.H. Andrew, Ao Tang, S.H. Low, H. Hjalmarsson
2009 IEEE Transactions on Automatic Control  
We apply this model to the stability analysis of fast active queue management scalable TCP (FAST TCP) including its filter dynamics.  ...  The analysis highlights the critical role of self-clocking in TCP stability, and the proof technique is new and less conservative than existing ones.  ...  Paganini, and K. H. Johansson for valuable discussions.  ... 
doi:10.1109/tac.2009.2012986 fatcat:ilfhtvirxbfe7exruqiop6bbqi

Stability Analysis of RED Gateway with Multiple TCP Reno Connections

Xi Chen, Siu-Chung Wong, Chi K. Tse, Ljiljana Trajkovic
2007 2007 IEEE International Symposium on Circuits and Systems  
The stability boundary of the TCP-RED system depends on various network parameters, making the adjustment of the RED gateway a difficult task.  ...  Based on a fluid-flow model, we formulate analytical conditions that describe the stable boundary of the RED gateway depending on the number of TCP Reno connections.  ...  The solution is very accurate for multiple TCP connections. The simplicity of the solution allows easy and fast generation of the stability boundaries in the essential parameter space.  ... 
doi:10.1109/iscas.2007.378570 dblp:conf/iscas/ChenWTT07 fatcat:c67y64vpsbfzziy4xabslbdrz4

Local stability of FAST TCP

Jiantao Wang, Ao Tang, S.H. Low
2004 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)  
The stability of FAST TCP is studied in this paper based on a discrete-time model. We prove that FAST TCP is locally asymptotically stable for arbitrary network in the absence of feedback delay.  ...  When feedback delay is present, we derive a sufficient condition for local asymptotic stability for the case of a single link.  ...  This is part of the Caltech FAST Project supported by NSF, Caltech Lee Center for Advanced Networking, ARO, AFOSR, and Cisco.  ... 
doi:10.1109/cdc.2004.1428822 fatcat:ffey7ulwiffxpi3ebl6h7fepem
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