Paper Info
Title
A feedback fluid queue with two congestion control thresholds
Abstract
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.
Year
DOI
Venue
2009
10.1007/s00186-008-0235-8
Math. Meth. of OR
Keywords
Field
DocType
congestion control,feedback,stationary distribution,fluids,computational complexity,queueing theory,informatics,fluid queue
Mathematical optimization,Computer science,Markov chain,Queue,Fluid queue,Queueing theory,Stationary distribution,Network congestion,Throughput,Kolmogorov equations
Journal
Volume
Issue
ISSN
70
1
1432-2994
Citations 
PageRank 
References 
9
0.70
9
Authors
4
Name
Order
Citations
PageRank
Malhotra, R.1131.19
M. R. H. Mandjes2164.24
W. R. W. Scheinhardt3202.94
j van den berg413519.90