A paths algebra framework for routing and resources assignment in EONs

Routing and resources assignment represent one of the major challenges for Elastic Optical Networks (EONs). In this paper we propose a general mathematical framework based on paths algebra that allows the implementation of differentiated services according to different policies. The framework enables to consider simultaneously different metrics associated to the optical links. Any number of linear and non-linear metrics can be used. In this way, Quality of Service (QoS); Quality of Transport (QoT), Quality of Network Economics (QoNE), Quality of Energy (QoEn) etc. can be optimized.