The estimation of resource usage in network nodes is a basic issue from the point of QoS (Quality of Service) provisioning. This paper is about estimating the buffer overflow within network elements, which are represented by a service curve property. There are some previous investigations in [1], which define bounds on buffer overflow for such elements, multiplexing homogeneous and heterogeneous independent regulated inputs. The main topic of this paper is setting up new bounds for the heterogeneous case, by using a new PGF (Probability Generating Function) approximation presented in [7]. We show, that the new bounds are also valid for the homogeneous case, so the results for the homogeneous and the heterogeneous case can be integrated into a single formula. It will also be shown, that the new bounds improve the existing ones in most cases.
The estimation of resource usage in network nodes is a basic issue from the point of QoS (Quality of Service) provisioning. Within this paper the estimation of the buffer overflow is considered in network elements represented by a service curve property. The existing results [1] [2], define bounds on buffer overflow for such elements, multiplexing homogeneous and heterogeneous independent regulated inputs. The requirement of independence for the inputs can be reduced by setting up new bounds for the homogeneous case, using a bounding technique, which relies only on the limited independence among the inputs [3]. Beside the presentation of the new bounds, it will be shown, that they improve the existing ones in all cases, and an investigation is given about the independence properties, which are required from the input flows.
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