Mathematical Modelling of the Internet

By Frank P. Kelly. 2001

319 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/7e1f13b55cd41e0e82b113f656935c579848e438

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Electrical and Electronic Engineering

Citations in the corpus

Path Selection and Multipath Congestion Control (2007, background): “TCP Reno) maps to a particular (user) utility function [9], and users selfishly seek to choose paths in such a way as to maximize their net utility.”
MPTCP Is Not Pareto-Optimal: Performance Issues and a Possible Solution (2013, background): “Remark 2: As pointed out by Kelly [2], as is an increasing function of rates, single-path congestion control mechanisms are always Pareto-optimal and the choice of an allocation of rates is only a matter of fairness.”
FAST TCP: Motivation, Architecture, Algorithms, Performance (2006, background): “These properties can be understood with a ﬂow-level model of the AIMD algorithm, e.g., [19], [29], [39], [41].”
A control theoretic analysis of RED (2001, result): “In [13] a model for the TCP window-control mechanism was developed which is similar to that in (3).”
A positive systems model of TCP-like congestion control: asymptotic results (2006, background): “Many of the more recent results are based on so-called fluid approaches and focus on active queueing disciplines, see, for example, [11]–[21].”
REM: active queue management (2001, background): “By making this apparent, the optimization models [7] [8] [3] [6] deepen our understanding of the current protocols and suggest a way to design new protocols by tailoring utility functions to applications.”
Stability Criteria for Switched and Hybrid Systems (2007, background): “Comment : Before proceeding we note that networks of unsynchronised sources have also been the subject of wide study in the TCP community: see [82, 97, 104, 88, 109, 69, 170, 79, 36, 70, 71, 70] and the accompanying references for further details.”