Internet traffic description on a base of Markov-Additive Process of arrivals

The use of the Markov-Additive process of arrivals allows to take into account various classes of the arrived calls, the arrivals by batches, the dependence of arrival rate on the state of the random environment and so on. This probabilistic framework is used for the traffic description in the individual network channel having a certain capacity. The main considered aim is to determine the quotas of this capacity, those being given to each class of the arrived calls. The quotas must satisfy the condition when the channel load during fixed time interval did not exceed the limit level with the appointed probability. The Quadratic Penalty Method is used for the optimal quota assignment. The numerical example is considered too.