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Resolution of a Routing and Wavelength Assignment Problem by Independent Sets in Conflict Graphs

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Abstract

In an optical network, a Scheduled Lightpath Demand (SLD) is a connection demand between two nodes, during a certain time and with a certain wavelength. We consider the following NP-hard Routing and Wavelength Assignment problem dealing with SLDs: given a set of SLDs and a number W of wavelengths, maximize the number of SLDs to which we can assign a lightpath (i.e. a routing path and a wavelength) without exceeding the number W of available wavelengths. The constraints are: a same wavelength must be assigned all along the routing path of any SLD; at any time, a given wavelength on a given edge of the network cannot be used to satisfy more than one SLD. To solve this problem, we study an approach stating the problem as the successive searches of independent sets in some conflict graphs. Moreover, we improve this approach thanks to a post-optimization method. The experimental results show that this model and the post-optimization method are quite efficient to provide a large number of routed SLDs.

Original languageEnglish
Title of host publication7th International Conference on Control, Decision and Information Technologies, CoDIT 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages94-99
Number of pages6
ISBN (Electronic)9781728159539
DOIs
Publication statusPublished - 29 Jun 2020
Event7th International Conference on Control, Decision and Information Technologies, CoDIT 2020 - Prague, Czech Republic
Duration: 29 Jun 20202 Jul 2020

Publication series

Name7th International Conference on Control, Decision and Information Technologies, CoDIT 2020

Conference

Conference7th International Conference on Control, Decision and Information Technologies, CoDIT 2020
Country/TerritoryCzech Republic
CityPrague
Period29/06/202/07/20

Keywords

  • Combinatorial Optimization
  • Conflict Graphs
  • Independent Sets
  • Post-Optimization
  • Routing and Wavelength Assignment (RWA) Problem
  • Scheduled Lightpath Demands (SLD)
  • Wavelength Division Multiplexing (WDM) Optical Networks

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