Chapter 8

Modeling of Systems with Multi-Rate Overflow Traffic

8.1 Introduction

In Chapter 3 we defined the notion of the telecommunications traffic overflow in networks offering call streams that require only one channel (BBU) of the group for service. In Chapter 7, we presented basic issues related to multi-service switching networks.

The aim of the present chapter is to combine these issues. Let us consider, now, onthe basis of the information presented in previous chapters, theanalytical mechanism that makes it possible to determine trafficcharacteristics of systems that are offered overflowmulti-rate traffic. Thischapter presents a method for determining the parameters of trafficthat overflows from primary groups (cells) and an approximatemethod for dimensioning systems servicingmulti-service overflow traffic [1–3].

8.2 Single-Service Model of the Full-Availability Group with Overflow Traffic

The algorithm based on the Kaufman—Roberts recursion worked out in Section 7.5.3 has been used to determine the occupancy distribution (Equation (7.79)), the blocking probability (Equations (7.80), (7.81)) and the loss probability (Equation (7.82)) of calls of different traffic classes. It has also been assumed that individual traffic streams are generated both by an infinite number of traffic sources (PCT1 stream) and by a finite number of traffic sources (PCT2 stream). With the instance in which the system services PCT1 stream only, the algorithm for determining traffic characteristics ...

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