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Network-decentralized robust congestion control with node traffic splitting

Blanchini, Franco; Giordano, Giulia LU and Montessoro, Pier Luca (2014) 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 In IEEE 53rd Annual Conference on Decision and Control (CDC 2014) p.2901-2906
Abstract

We consider a traffic control problem defined on a network graph, whose nodes represent buffers and whose arcs represent flow channels. We consider network models with a peculiar aspect: each element of the flow arriving at each node must be redirected towards a precise other node of the network, hence each buffer is naturally split in several queues, characterized according to statistics about the flow splitting at the nodes. Precisely, each node is modelled as a Markov chain, in which some states are specifically associated with the arcs leaving the node: state j represents the amount of traffic waiting to be directed through arc j. We show that such a network can be stabilized by means of a network-decentralized control, in which the... (More)

We consider a traffic control problem defined on a network graph, whose nodes represent buffers and whose arcs represent flow channels. We consider network models with a peculiar aspect: each element of the flow arriving at each node must be redirected towards a precise other node of the network, hence each buffer is naturally split in several queues, characterized according to statistics about the flow splitting at the nodes. Precisely, each node is modelled as a Markov chain, in which some states are specifically associated with the arcs leaving the node: state j represents the amount of traffic waiting to be directed through arc j. We show that such a network can be stabilized by means of a network-decentralized control, in which the flow through each arc is controlled by an agent which only knows the congestion situation at the nodes it connects. The main result is that the proposed network-decentralized strategy is robust (namely it assures stability under all possible values of the Markov chain parameters) provided that zero is a simple eigenvalue for all the Markov chains, which includes the irreducible case.

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Please use this url to cite or link to this publication:
author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
IEEE 53rd Annual Conference on Decision and Control (CDC 2014)
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
external identifiers
  • scopus:84931826364
ISBN
9781467360890
DOI
10.1109/CDC.2014.7039835
language
English
LU publication?
no
id
25204bb4-dc51-4613-b4e2-bc2005378f3a
date added to LUP
2016-07-06 15:27:11
date last changed
2016-11-29 11:31:27
@inproceedings{25204bb4-dc51-4613-b4e2-bc2005378f3a,
  abstract     = {<p>We consider a traffic control problem defined on a network graph, whose nodes represent buffers and whose arcs represent flow channels. We consider network models with a peculiar aspect: each element of the flow arriving at each node must be redirected towards a precise other node of the network, hence each buffer is naturally split in several queues, characterized according to statistics about the flow splitting at the nodes. Precisely, each node is modelled as a Markov chain, in which some states are specifically associated with the arcs leaving the node: state j represents the amount of traffic waiting to be directed through arc j. We show that such a network can be stabilized by means of a network-decentralized control, in which the flow through each arc is controlled by an agent which only knows the congestion situation at the nodes it connects. The main result is that the proposed network-decentralized strategy is robust (namely it assures stability under all possible values of the Markov chain parameters) provided that zero is a simple eigenvalue for all the Markov chains, which includes the irreducible case.</p>},
  author       = {Blanchini, Franco and Giordano, Giulia and Montessoro, Pier Luca},
  booktitle    = {IEEE 53rd Annual Conference on Decision and Control (CDC 2014) },
  isbn         = {9781467360890},
  language     = {eng},
  pages        = {2901--2906},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  title        = {Network-decentralized robust congestion control with node traffic splitting},
  url          = {http://dx.doi.org/10.1109/CDC.2014.7039835},
  year         = {2014},
}