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The purpose of this paper is to present the benefits of using the Lagrangian Relaxation (LR) and subgradient methods in scenario studies for Wavelength Division Multiplexing (WDM) network planning. The problem of WDM network planning for a given set of lightpath demands in a mesh topology network is to select lightpath routes and then allocate wavelength channels to the lightpaths. In WDM network planning, a scenario study is to find out the network performance under different lightpath demands and/or different network resource configurations.
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