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Abstract

This article presents, in short, the state of the art of modelling overflow systems and proposes a new method for a determination of characteristics of multi-service overflow systems with elastic traffic and with distributed secondary resources. A particular attention is given to the method for a determination of the parameters of multi-service traffic that overflows to secondary resources and the method for modelling of these resources that takes into consideration both the structure of the distributed resources, elastic traffic management-handling mechanisms and the level of peakedness degeneration of overflow traffic. The results of the analytical calculations are compared with the results of the simulation experiments of a number of selected structures of overflow systems with distributed secondary resources. The results of the study have confirmed and verified the correctness of all the theoretical assumptions adopted throughout the article.

6. Summary

This article proposes a model of a multiservice overflow system with distributed secondary resources servicing overflow traffic. The model proposes a new approach to the analysis of complex state-dependent multiservice systems that are offered a mixture of elastic overflow traffic with peakedness factors higher than unity. The approach consists in taking into account a possibility of servicing elastic traffic both in primary and secondary resources and is based on the application of the Hayward approach to modelling of statedependent systems, in particular on a division of the value of the traffic intensity and the structural parameters of the system by the peakedness factors of corresponding classes of offered traffic. Such an approach is used in the article to model a system of distributed secondary resources. The results of the comparison of the analytical calculations with the results of the simulation experiments indicate high accuracy of the proposed model. The proposed model provides an opportunity for further research in the field, in particular one that is focused on modelling of other, complex, statedependent multiservice systems to which elastic overflow traffic is offered. The focus of our future studies will be to develop an analytical model of an overflow system with distributed secondary resources that services independent traffic streams with any kind of distribution.