Network Calculus
@inproceedings{Boudec2002NetworkC,
title={Network Calculus},
author={Jean-Yves Le Boudec and Patrick Thiran},
booktitle={Lecture Notes in Computer Science},
year={2002}
}Network Calculus.- Application of Network Calculus to the Internet.- Basic Min-plus and Max-plus Calculus.- Min-plus and Max-plus System Theory.- Optimal Multimedia Smoothing.- FIFO Systems and Aggregate Scheduling.- Adaptive and Packet Scale Rate Guarantees.- Time Varying Shapers.- Systems with Losses.
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918 Citations
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References
SHOWING 1-10 OF 120 REFERENCES
Determining end-to-end delay bounds in heterogeneous networks
- Computer ScienceMultimedia Systems
- 1997
A method for determining an upper bound on end-to-end delay bounds for sources conforming to Leaky Bucket and exponentially bounded burstiness is presented.
A Delay Bound for a Network with Aggregate Scheduling
- Computer Science
- 2000
A worst case bound is given that is valid for any network topology given the maximum hop count for every flow and the utilization at every link and is finite only for small utilization.
Analysis and simulation of a fair queueing algorithm
- Computer ScienceSIGCOMM 1989
- 1989
It is found that fair queueing provides several important advantages over the usual first-come-first-serve queueing algorithm: fair allocation of bandwidth, lower delay for sources using less than their full share of bandwidth and protection from ill-behaved sources.
A deterministic approach to the end-to-end analysis of packet flows in connection-oriented networks
- Computer ScienceTNET
- 1998
A worst-case bound is proven for the end-to-end queueing delay and buffer size needed to guarantee loss-free packet delivery, given that sources satisfy a given source rate condition.
Comments on “a deterministic approach to the end-to-end analysis of packet flows in connection oriented networks”
- Computer ScienceTNET
- 2000
It is proved that the buffer bound in the above paper, can be improved by using a modification of the proofs in the original paper together with so-called network calculus bounds.
A note on deterministic end-to-end delay analysis in connection oriented networks
- Computer Science, Business1999 IEEE International Conference on Communications (Cat. No. 99CH36311)
- 1999
This paper extends the results presented by Chlamtac, Farago, Zhang, and Fumagalli by obtaining a smaller upper bound of end-to-end delay in connection-oriented networks under the same source rate condition and investigates the tightness of this upper bound and proves that it is tight for multipoint- to-point trees.
Application of Network Calculus to Guaranteed Service Networks
- Computer ScienceIEEE Trans. Inf. Theory
- 1998
It is found that call acceptance regions based on deterministic criteria (loss or delay) are convex, in contrast to statistical cases where it is the complement of the region which is convex.
Delay bounds for a network of guaranteed rate servers with FIFO aggregation
- Computer ScienceComput. Networks
- 2002
Delay bounds for a network of guaranteed rate servers with FIFO aggregation
- Computer Science2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333)
- 2002
A network implementing guaranteed rate (GR) scheduling with first-in-first-out (FIFO) aggregation is studied and an upper bound on the worst case end-to-end delay for the network is derived.
Real-time calculus for scheduling hard real-time systems
- Computer Science2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)
- 2000
A link between three areas, namely Max-Plus Linear System Theory as used for dealing with certain classes of discrete event systems, Network Calculus for establishing time bounds in communication networks, and real-time scheduling is established.