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With the continued growth of Internet traffic, and the scarcity of theoptical spectrum, there is a continuous need to optimize the usage of thisresource. In the process of provisioning elastic optical networks using theflexible frequency grid paradigm, telecommunication operators must deal with acombinatorial optimization problem that is NP-complete namely the Routing andSpectrum Allocation(RSA) problem. Following on our previous study, where weused Integer Linear Programming, and proposed a Column Generation algorithmbased on a Lightpath decomposition, which proved to be the most efficient sofar, we now consider the traditional Configuration decomposition that has beenstudied in other works in the past. In the process, we created an newmathematical model using two variable sets instead of a single variable set.Equally important,we independently rediscovered the Nested Column Generationtechnique, and we used it to propose an algorithm that led to a considerableimprovement on the previous algorithms that use the same Configurationdecomposition. When compared to the latest such existing study, our algorithmachieved an accuracy gap of 1% as opposed to 14.3% for the previous study, anda running time two orders of magnitude faster on average.

Nested Column Generation decomposition for solving the Routing and Spectrum Allocation problem in Elastic Optical Networks