This article discusses a discretized model of resources to which a mixture of multi-service traffic streams is offered and 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 termed frequency slots. The present article proposes a new occupancy distribution specially designed for these systems. The new occupancy distribution discussed in the article is based on the approximation of the service process by a reversible Markov process. A particular attention is given to the method for the calculations of 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.
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