Modern incorporated communications, converging voice, data, and multimedia onto a single network platform, is a technology that has received increasing attention through the past several years. A considerable time and analysis is dedicated to the evaluation of a range of IP communication systems before the assigning to a major purchase. However, relatively little attention is paid to the post-deployment issues, e.g. ongoing service support. New technology basically requires a new support model. The purpose of this paper is to examine the new service support model emerging for converged communications applications, define features and functionalities, and discuss an example of a support excellence. As a next step, we examine and evaluate here an analytical model extracted from queuing theory, namely M/G/1, for the possible implementation into multi-service converged network architecture in order to process effectively heterogeneous calls
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