Abstract
This article discusses a discretized model of resources to which a mixture of multi-service traffic streams is offered. In the model the connections of individual traffic classes that require a large number of allocation units are always executed using adjacent allocation units. The necessity of occupying the adjacent allocation units is typical, for example, for elastic optical networks, in which these units are called frequency slots. The article proposes a new occupancy distribution specifically designed for these systems. The new occupancy distribution is based on an approximation of the service process by a reversible Markov process. Particular attention is given to the method for calculating the so-called conditional transition probability of the transitions between neighboring states in the Markov process. The analytical results of the modeling are compared with the results of simulations of corresponding network systems.
Highlights
AND RELATED WORKP RESENT-DAY optical transport networks make use of DWDM transmission with the throughput 10, 40, 100 or 400 Gbps per wavelength [1]–[7]
In the Elastic optical networks (EONs) architecture, each class demands an appropriate number of neighboring frequency slot units (FSUs) according to the required size of the optical spectrum/frequency slot for a given connection requesting a specific bitrate
To show the influence of the new method for a determination of the conditional transition probability proposed in the present article on the increase in the accuracy of assessment of the occupancy distribution in EON systems, Figures 3, 5, 7 and 8 show a comparison of the obtained results with the results obtained on the basis of a model of resources that does not include the requirement of the arrangement of adjacent resources
Summary
P RESENT-DAY optical transport networks make use of DWDM (dense wavelength division multiplexing) transmission with the throughput 10, 40, 100 or 400 Gbps per wavelength [1]–[7]. Such a model, cannot be applied to the analysis of the occupancy distribution of a single link. It presents the structures of offered traffic.
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