2013
DOI: 10.1007/s11107-013-0408-0
|View full text |Cite
|
Sign up to set email alerts
|

Column generation algorithm for RSA problems in flexgrid optical networks

Abstract: Finding optimal routes and spectrum allocation in flexgrid optical networks, known as the RSA problem, is an important design problem in transport communication networks. The problem is TeX -hard, and its intractability becomes profound when network instances with several tens of nodes and several hundreds of demands are to be solved to optimum. In order to deal with such instances, large-scale optimization methods need to be considered. In this work, we present a column (more precisely, path) generation-based… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
36
0
2

Year Published

2014
2014
2023
2023

Publication Types

Select...
3
3
2

Relationship

1
7

Authors

Journals

citations
Cited by 54 publications
(38 citation statements)
references
References 13 publications
0
36
0
2
Order By: Relevance
“…The size of the problem can be reduced and solved to optimality using large scale optimization techniques, such as column generation [35]. In this paper, however, a heuristic algorithm is proposed.…”
Section: Cp-vnt_create Problemmentioning
confidence: 99%
“…The size of the problem can be reduced and solved to optimality using large scale optimization techniques, such as column generation [35]. In this paper, however, a heuristic algorithm is proposed.…”
Section: Cp-vnt_create Problemmentioning
confidence: 99%
“…Objective: minimize the total number of used slices so that every lightpath in P* has a new route containing e r . In order to effectively solve AFRO for real networks with hundreds of lightpaths, we have designed a specific column generation algorithm based on the work recently proposed in [6]. In short, the column generation algorithm allows near-optimal solving Mixed Integer Programming (MIP) formulations for the RSAbased problems in an affordable way, by considering a reduced set of problem variables (corresponding to the lightpaths) without significantly affecting the quality of the obtained solution.…”
Section: After Failure Repair Optimizationmentioning
confidence: 99%
“…Such features as fine spectrum granularity (a result of dividing the spectrum into narrow frequency slices, e.g., 6.25 GHz), advanced optical modulation formats, and filtering and signal processing, constitute the basis for introducing flexibility and elasticity to network operation [2].…”
Section: Introductionmentioning
confidence: 99%
“…Hence, some large-scale optimization approaches are necessary. Here, the column generation (CG) technique seems to be a promising approach, since it has been successfully applied to different optimization problems (Klinkowski et al, 2016;Ruiz et al, 2013;Żotkiewicz et al, 2015).…”
Section: Introdutionmentioning
confidence: 99%
“…Klinkowski et al (2016), Ruiz et al (2013) or Velasco et al (2014) focus on efficient methods to solve the problem of allocating unicast demands in an unprotected EON. It is worth mentioning that Ruiz et al (2013) and Velasco et al (2014) apply the CG technique directly to solve RSA while Klinkowski et al (2016) propose a branch-and-price approach that incorporates, among others, CG. Next, focus on optimization of anycast traffic in an unprotected EON wherein they model an anycast demand as a one-directional transmission from a DC to the client node.…”
mentioning
confidence: 99%