Modeling of systems with overflow multi-rate traffic

Abstract

The article proposes an analytical method for determining occupancy distribution and blocking probability in systems which are offered overflow traffic composed of multi-service traffic streams. The described analytical model enables determination of parameters of traffic overflowed from primary groups in hierarchically constructed telecommunication networks. The proposed method is based on an appropriate modification of the Kaufman-Roberts recursion for the full-availability group with multi-rate traffic and uses the modified Fredericks & Hayward's approximation. Additionally, an approximate method for dimensioning systems with multi-service overflow traffic is also presented. The analytical results of the blocking probability and the results obtained in the dimensioning processes calculated using the presented methodology are compared with the data obtained from the system simulation process.

Optimized two dimensional convolution algorithm for modelling systems with overflow traffic

“…Unlike in modelling methods that use Hayward's approach [8], [9], [13], in the convolution algorithm the capacities of both groups remain the same and are not modified, and the same applies to the number of demanded BBUs by a single call. The occupancy distributions…”

“…The theoretical foundations for systems with traffic overflow consider systems in which the total primary resources are composed of a number of independent resources, called in telecommunications direct groups or first-choice groups [8], [9]. According to the traffic distribution strategy in networks with traffic overflow, to service calls arriving at telecommunications systems free resources are to be found in available direct groups.…”

“…According to the traffic distribution strategy in networks with traffic overflow, to service calls arriving at telecommunications systems free resources are to be found in available direct groups. Part of this traffic (the so-called overflow traffic) that cannot be serviced by a first-choice group due to its occupancy is offered to an alternative group, also known as the overflow group [8], [9]). …”

Modelling and optimization of traffic loads of the radio access network

“…Traffic overflow occurs when resources of a given system are entirely occupied and, due to the fact, new calls cannot be serviced. Such calls can be directed to other systems that currently have free resources that are necessary to service new calls [24], [25], [26]. Nowadays, networks with overflow traffic -except traditional telephone networks -also include wireless networks of both the second (OSM) and the third generation (e.g.…”

Modelling of Cellular Networks with Traffic Overflow

“…The most important methods, summarized in Section 2.1, include equivalent random theory [13,14] and Fredericks-Hayward method [15]. First methodologies for modelling of networks with multiservice (multirate) traffic, presented in Section 2.2, were proposed in [16][17][18].…”