A Multi-Service Model of Resources With the Neighboring Choice of Allocation Units

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.