Asymptotic analysis of a state-dependent M/G/1 queueing system
SIAM Journal on Applied Mathematics
Congestion avoidance and control
SIGCOMM '88 Symposium proceedings on Communications architectures and protocols
TCP and explicit congestion notification
ACM SIGCOMM Computer Communication Review
The macroscopic behavior of the TCP congestion avoidance algorithm
ACM SIGCOMM Computer Communication Review
Modeling TCP throughput: a simple model and its empirical validation
Proceedings of the ACM SIGCOMM '98 conference on Applications, technologies, architectures, and protocols for computer communication
A stochastic model of TCP/IP with stationary random losses
Proceedings of the conference on Applications, Technologies, Architectures, and Protocols for Computer Communication
TCP in presence of bursty losses
Proceedings of the 2000 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Analysis of two competing TCP/IP connections
Performance Evaluation
Performance of a Leaky Bucket System with Long-Range Dependent Input Traffic
Queueing Systems: Theory and Applications
Rate-based versus queue-based models of congestion control
Proceedings of the joint international conference on Measurement and modeling of computer systems
TCP over Rate-Adaptive WLAN - An Analytical Model and its Simulative Verification
WOWMOM '06 Proceedings of the 2006 International Symposium on on World of Wireless, Mobile and Multimedia Networks
Predictive buffer control in delivering remotely stored video using proxy servers
Computer Networks: The International Journal of Computer and Telecommunications Networking
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We study a linear-increase multiplicative-decrease flow control mechanism. We consider congestion signals that arrive in batches according to a Poisson process. We focus on the case when the transmission rate cannot exceed a certain maximum value. The distribution of the transmission rate in steady state as well as its moments are determined. Our model is particularly useful to study the behavior of TCP (Transmission Control Protocol) the congestion control mechanism in the Internet. Burstiness of packet losses is captured by allowing congestion signals to arrive in batches. By a simple transformation, the problem can be reformulated in terms of an equivalent M/G/1 queue, where the transmission rate in the original model corresponds to the workload in the 'dual' queue. The service times in the queueing model are not i.i.d., and they depend on the workload in the system.