A branch-and-cut algorithm for the routing and spectrum allocation problem
One of the most promising solutions to deal with huge data traffic demands in large communication networks is given by flexible optical networking, in particular the flexible grid (flexgrid) technology specified in the ITU-T standard G.694.1. In this specification, the frequency spectrum of an op...
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Universidad Torcuato Di Tella
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I57-R163-20.500.13098-121502023-11-23T07:00:26Z A branch-and-cut algorithm for the routing and spectrum allocation problem Marenco, Javier Bianchetti, Marcelo Integer programming Valid inequalities Networking Optical fibers Flex-grid One of the most promising solutions to deal with huge data traffic demands in large communication networks is given by flexible optical networking, in particular the flexible grid (flexgrid) technology specified in the ITU-T standard G.694.1. In this specification, the frequency spectrum of an optical fiber link is divided into narrow frequency slots. Any sequence of consecutive slots can be used as a simple channel, and such a channel can be switched in the network nodes to create a lightpath. In this kind of networks, the problem of establishing lightpaths for a set of end-to-end demands that compete for spectrum resources is called the routing and spectrum allocation problem (RSA). Due to its relevance, RSA has been intensively studied in the last years. It has been shown to be NP-hard and different solution approaches have been proposed for this problem. In this paper we present several families of valid inequalities, valid equations, and optimality cuts for a natural integer programming formulation of RSA and, based on these results, we develop a branch-and-cut algorithm for this problem. Our computational experiments suggest that such an approach is effective at tackling this problem. 2023-11-22T16:17:33Z 2023-11-22T16:17:33Z 2023 info:eu-repo/semantics/preprint info:eu-repo/semantics/submittedVersion https://repositorio.utdt.edu/handle/20.500.13098/12150 eng info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-sa/2.5/ar/ 34 p. application/pdf application/pdf Universidad Torcuato Di Tella |
institution |
Universidad Torcuato Di Tella |
institution_str |
I-57 |
repository_str |
R-163 |
collection |
Repositorio Digital Universidad Torcuato Di Tella |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
Integer programming Valid inequalities Networking Optical fibers Flex-grid |
spellingShingle |
Integer programming Valid inequalities Networking Optical fibers Flex-grid Marenco, Javier Bianchetti, Marcelo A branch-and-cut algorithm for the routing and spectrum allocation problem |
topic_facet |
Integer programming Valid inequalities Networking Optical fibers Flex-grid |
description |
One of the most promising solutions to deal with huge data traffic demands in
large communication networks is given by flexible optical networking, in particular
the flexible grid (flexgrid) technology specified in the ITU-T standard
G.694.1. In this specification, the frequency spectrum of an optical fiber link is
divided into narrow frequency slots. Any sequence of consecutive slots can be
used as a simple channel, and such a channel can be switched in the network
nodes to create a lightpath. In this kind of networks, the problem of establishing
lightpaths for a set of end-to-end demands that compete for spectrum resources
is called the routing and spectrum allocation problem (RSA). Due to its relevance,
RSA has been intensively studied in the last years. It has been shown
to be NP-hard and different solution approaches have been proposed for this
problem. In this paper we present several families of valid inequalities, valid
equations, and optimality cuts for a natural integer programming formulation
of RSA and, based on these results, we develop a branch-and-cut algorithm for
this problem. Our computational experiments suggest that such an approach is
effective at tackling this problem. |
format |
info:eu-repo/semantics/preprint submittedVersion |
author |
Marenco, Javier Bianchetti, Marcelo |
author_facet |
Marenco, Javier Bianchetti, Marcelo |
author_sort |
Marenco, Javier |
title |
A branch-and-cut algorithm for the routing and spectrum allocation problem |
title_short |
A branch-and-cut algorithm for the routing and spectrum allocation problem |
title_full |
A branch-and-cut algorithm for the routing and spectrum allocation problem |
title_fullStr |
A branch-and-cut algorithm for the routing and spectrum allocation problem |
title_full_unstemmed |
A branch-and-cut algorithm for the routing and spectrum allocation problem |
title_sort |
branch-and-cut algorithm for the routing and spectrum allocation problem |
publisher |
Universidad Torcuato Di Tella |
publishDate |
2023 |
url |
https://repositorio.utdt.edu/handle/20.500.13098/12150 |
work_keys_str_mv |
AT marencojavier abranchandcutalgorithmfortheroutingandspectrumallocationproblem AT bianchettimarcelo abranchandcutalgorithmfortheroutingandspectrumallocationproblem AT marencojavier branchandcutalgorithmfortheroutingandspectrumallocationproblem AT bianchettimarcelo branchandcutalgorithmfortheroutingandspectrumallocationproblem |
_version_ |
1808040728857673728 |