Abstract

This article presents an analytical model of a switching network that can be used in the nodes of a large number of modern multi-service networks. The model of a multi-service three-stage switching network proposed in this article has the advantage of providing the possibility to evaluate the point-to-point blocking probability for multicast connections. The information obtained in this way can then be used both at the stage of the estimation of the capacity of a new network and during the optimisation process of an existing network. In the calculations performed during the investigations, three scenarios for the fan out of multicast connections in the switching network are taken into consideration. The assumption is that the branching of a connection can occur in the first, second and the third stage of the switching network. The model proposed in the article is based on the concept of “effective” availability. The article discusses the methods for the determination of the effective availability parameter for successive connections that belong to a given multicast connection. The results of the analytical modelling are compared with the simulation data for three selected structures of multi-service switching networks to which different mixtures of multi-service BPP traffic are offered. The results of the calculations and the data provided by the simulation experiments validate and confirm high accuracy of the proposed model. This allows the model to be easily applied in practice to different environments to evaluate the capacities of the nodes in multi-service networks.

Highlights

  • The rapid and dramatic increase in the capacity of computer networks is closely related with the increase in a variety of network services on offer, including those services that may require concurrent data delivery performance to multiple destinations

  • A comparison of the results presented in Fig. 5-14 shows that the proposed method for the determination of the pointto-point blocking probability in switching networks with multicast connections is characterised by very high accuracy for the whole range of the load in the system, limited only by the number of iterations

  • This article presents an analytical model of the switching network that is the basic element of the node structure in a telecommunications network

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Summary

Introduction

The rapid and dramatic increase in the capacity of computer networks is closely related with the increase in a variety of network services on offer, including those services that may require concurrent data delivery performance to multiple destinations (multicast). To guarantee effective data delivery to groups of recipients, network nodes (e.g. routers) have to support this type of communication with appropriate equipment and devices. The basic element of the structure of each network node is the switching network, that has to be properly adjusted and well aligned to service this traffic [1]–[3]. (non-blocking, rearrangeable networks) [4]–[6] and networks with losses (blocking networks). For rearrangeable networks to operate an appropriate algorithm is required that would guarantee the possibility to change the structure of the internal connections in the network and provide the possibility to set up a connection path in the network. The cost of the construction of such networks is lower than the corresponding non-blocking networks, but it is necessary to provide additional control system that would provide effective operation of the algorithm that

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