FAST TCP: Some queueing models and stability

Manjunath, Sreelakshmi; Raina, Gaurav

doi:10.1109/spcom.2014.6983932

Cited by 8 publications

(7 citation statements)

References 14 publications

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“…To that end, we need to verify that the MOVM also undergoes a Hopf bifurcation when one of the model parameters is chosen as the bifurcation parameter. It was shown in [38] that the transversality condition of the Hopf spectrum holds true for the characteristic equation of the form (14) (with κ = 1) when τ is used as the bifurcation parameter, although in a different context.…”

Section: B Discussionmentioning

confidence: 99%

“…Hence, we have successfully cast (37) in the form of (38). To obtain the required coefficients, it is sufficient to evaluate various expressions for µ = 0, which we use henceforth.…”

Section: Hopf Bifurcation Analysismentioning

confidence: 99%

“…We note that w is real if S t is real, and we deal only with real solutions. The existence of the center manifold C 0 enables the reduction of (38) to an ODE in a single complex variable on C 0 . At µ = 0, the said ODE can be described aṡ…”

Section: Nmentioning

confidence: 99%

“…Once these are evaluated, the ODE (43) for z would be explicit (as given by (44)), where g can be expanded in terms of z andz as Next, we writeẇ =Ṡ t −żq −żq. Using (38) and (44), we then obtain the following ODE:…”

Section: Nmentioning

confidence: 99%

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The modified optimal velocity model: stability analyses and design guidelines

Kamath

Jagannathan

Raina

2017

IFAC Journal of Systems and Control

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Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal Velocity Model (MOVM). Specifically, we analyze the MOVM in three regimes -no delay, small delay and arbitrary delay. In the absence of reaction delays, we show that the MOVM is locally stable. For small delays, we then derive a sufficient condition for the MOVM to be locally stable. Next, for an arbitrary delay, we derive the necessary and sufficient condition for the local stability of the MOVM. We show that the traffic flow transits from the locally stable to the locally unstable regime via a Hopf bifurcation. We also derive the necessary and sufficient condition for non-oscillatory convergence and characterize the rate of convergence of the MOVM. These conditions help ensure smooth traffic flow, good ride quality and quick equilibration to the uniform flow. Further, since a Hopf bifurcation results in the emergence of limit cycles, we provide an analytical framework to characterize the type of the Hopf bifurcation and the asymptotic orbital stability of the resulting non-linear oscillations. Finally, we corroborate our analyses using stability charts, bifurcation diagrams, numerical computations and simulations conducted using MATLAB.

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Section: B Discussionmentioning

confidence: 99%

“…Hence, we have successfully cast (37) in the form of (38). To obtain the required coefficients, it is sufficient to evaluate various expressions for µ = 0, which we use henceforth.…”

Section: Hopf Bifurcation Analysismentioning

confidence: 99%

Section: Nmentioning

confidence: 99%

Section: Nmentioning

confidence: 99%

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The modified optimal velocity model: stability analyses and design guidelines

Kamath

Jagannathan

Raina

2017

IFAC Journal of Systems and Control

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“…In data transmission, Sreelakshmi Manjunath and Gaurav Raina use FAST TCP to transmit large amounts of data [9]. And Chen Ao and Lu Ting research data transmission control protocol in wireless channel at very low speed [10].…”

Section: Related Workmentioning

confidence: 99%

A Multi-source Data Oriented Framework of Vehicle Monitoring System

Liang¹,

Qian

Líu

et al. 2015

Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science

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A framework for monitoring system of vehicles is introduced in this paper. The system is applied for real-time monitoring of vehicles. It mainly includes vehicular hardware, remote servers and application terminals. The hardware part insists of various sensors, MCU chips, interface converting modules and hand-held terminals. The system collects a variety of data of vehicles efficiently. And it optimizes the transmission of data base on different bandwidth, delay and other characteristics. At the same time, it accesses to the remote data center perfectly. The data center will implement more complex business analysis considering vehicles as data collection terminals. The system improves the reliability of vehicular system and reduces errors in data transmission. It also has high security. A monitoring system based on the framework is implemented and introduced in this paper. The system makes it possible to monitor vehicles multi-angle and all-around. It is already applied within a certain range and achieved good results.

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FAST TCP: Some fluid models, stability and Hopf bifurcation

Manjunath

Raina

2017

Performance Evaluation

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FAST TCP: Some queueing models and stability

Cited by 8 publications

References 14 publications

The modified optimal velocity model: stability analyses and design guidelines

The modified optimal velocity model: stability analyses and design guidelines

A Multi-source Data Oriented Framework of Vehicle Monitoring System

FAST TCP: Some fluid models, stability and Hopf bifurcation

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