Analytical Model of a Single Link of Elastic Optical Networks

This article discusses and evaluates a model of resources to which multiservice traffic is offered. The initial assumption for the model is that calls of particular traffic classes are always serviced in neighboring allocation units of the resources under investigation. An elastic optical network, in which an allocation management mechanism that allocates an appropriate number of neighboring spectrum units depending on the required bitrate related to a given service class is employed, is chosen as a good example of this type of resource. The article proposes new occupancy distributions for these resources, both at the so-called microstate and macrostate levels, with particular attention given to the way the transitions between neighboring states of the Markov process that approximates the service process in the systems under investigation are modeled. The presented model is an approximate model, therefore the analytical results of the modeling are validated and verified on the basis of comparisons with the results of the simulations of a number of selected network systems.