Numerical recipes: the art of scientific computing
Numerical recipes: the art of scientific computing
Congestion avoidance and control
SIGCOMM '88 Symposium proceedings on Communications architectures and protocols
Using pathchar to estimate Internet link characteristics
Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
End-to-end available bandwidth: measurement methodology, dynamics, and relation with TCP throughput
Proceedings of the 2002 conference on Applications, technologies, architectures, and protocols for computer communications
A measurement study of available bandwidth estimation tools
Proceedings of the 3rd ACM SIGCOMM conference on Internet measurement
Single-hop probing asymptotics in available bandwidth estimation: sample-path analysis
Proceedings of the 4th ACM SIGCOMM conference on Internet measurement
TRIDENTCOM '05 Proceedings of the First International Conference on Testbeds and Research Infrastructures for the DEvelopment of NeTworks and COMmunities
Measuring IP and TCP behavior on edge nodes with Tstat
Computer Networks: The International Journal of Computer and Telecommunications Networking
Why is the internet traffic bursty in short time scales?
SIGMETRICS '05 Proceedings of the 2005 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Multi-hop probing asymptotics in available bandwidth estimation: stochastic analysis
IMC '05 Proceedings of the 5th ACM SIGCOMM conference on Internet Measurement
Relative rate reduction based control with adjustable congestion level
Proceedings of the 4th International Conference on Testbeds and research infrastructures for the development of networks & communities
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We introduce a theoretical model of packet pair separation based on a transient solution of the Takacs integro-differential equation. We show that in addition to the parameters of the fluid approximation (physical bandwidth and the average cross traffic rate) a new parameter characterizing the granularity of the cross traffic is necessary. These three parameters determine the dynamics of the queue in the diffusive approximation and all important distributions and averages of the packet separation even in multi-hop scenarios (assuming independent cross traffic on different hops). The model describes correctly the data collected in simulations, laboratory and Internet experiments. The adjustable model parameters are the physical bandwidth, the available bandwidth and the weighted average of the packet size of the cross traffic. We show that an implementation of the theoretical results can be used to estimate such parameters in packet chirp type measurements and can be a good candidate for improved available bandwidth estimation.