A feedback fluid queue with two congestion control thresholds

A feedback fluid queue with two congestion control thresholds

Malhotra, R.
Mandjes, M.R.H.
Scheinhardt, W.R.W.
van den Berg, J.L.
TNO Informatie- en Communicatietechnologie

2009

Feedback fluid queues play an important role in modeling congestion control mechanisms for packet networks. In this paper we present and analyze a fluid queue with a feedback-based traffic rate adaptation scheme which uses two thresholds. The higher threshold B 1 is used to signal the beginning of congestion while the lower threshold B 2 signals the end of congestion. These two parameters together allow to make the trade-off between maximizing throughput performance and minimizing delay. The difference between the two thresholds helps to control the amount of feedback signals sent to the traffic source. In our model the input source can behave like either of two Markov fluid processes. The first applies as long as the upper threshold B 1 has not been hit from below. As soon as that happens, the traffic source adapts and switches to the second process, until B 2 (smaller than B 1) is hit from above. We analyze the model by setting up the Kolmogorov forward equations, then solving the corresponding balance equations using a spectral expansion, and finally identifying sufficient constraints to solve for the unknowns in the solution. In particular, our analysis yields expressions for the stationary distribution of the buffer occupancy, the buffer delay distribution, and the throughput.

Informatics
Congestion control
Feedback regulation
Fluid queues
Spectral expansion
Balance equations
Buffer delay
Buffer occupancy
Congestion control
Fluid queues
Forward equations
Kolmogorov
Throughput performance
Traffic rate
Traffic sources
Computational complexity
Packet networks
Queueing theory

http://resolver.tudelft.nl/uuid:0499c6fe-c7a3-4c9a-871f-71faf200b9d6

https://doi.org/10.1007/s00186-008-0235-8

241664

Mathematical Methods of Operations Research, 70 (1), 149-169

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