Modelling of Cellular Networks with Traffic Overflow

Abstract

The paper proposes a new method for modelling multiservice cellular networks with traffic overflow. The proposed method employs a model of Erlang’s Ideal Grading (EIG) with multiservice traffic and differentiated availability. The fundamental advantage of the proposed method, as compared to other relevant methods, is a major simplification in modelling systems with traffic overflow that results from the elimination of the necessity of a determination of the parameters of overflow traffic, that is, the average value and the variance. According to the proposed method, calculations in the overflow system can be reduced to calculations in a system composed of one grading only. The paper presents the method for determining availability in such a grading that models a system with traffic overflow. The results of analytical calculations were compared with the results of simulation experiments. The results of the research study confirm high accuracy of the proposed method.

State-Dependent Bandwidth Sharing Policies for Wireless Multirate Loss Networks

“…In the literature, there are many teletraffic loss models that describe the co-existence of new and handover calls in a cell (see e.g., [26]- [32], [20], [35]- [39]). Their classification can be done in various ways, e.g., in terms of the bandwidth sharing policy, the call arrival process, the amount of bandwidth requested by calls etc.…”

“…Their classification can be done in various ways, e.g., in terms of the bandwidth sharing policy, the call arrival process, the amount of bandwidth requested by calls etc. To briefly describe the aforementioned models, we classify them in single-rate ( [26]- [28]) and multirate ( [29]- [32], [20], [35]- [39]) models. In [26]- [28], new or handover calls request only one channel in order to be connected in the system.…”

“…The latter is used for the accurate and efficient calculation of the link occupancy distribution in a multirate loss system which accommodates Poisson arriving calls under the CS policy. Other teletraffic models that explicitly distinguish new and handover traffic and can be described by extensions of the K-R formula are [20], [35]- [39]. In the PrTH policy, the calculation of the system's occupancy distribution is based on a convolution algorithm.…”

Multiservice Switching Networks with Overflow Links and Resource Reservation

“…Then, overflow traffic and the capacity of the overflow group are divided by the peakedness coefficient and as a result the parameters of the equivalent group with Erlang traffic that serves as a basis for a determination of the blocking probability in the overflow group are obtained. Overflow systems with multiservice traffic have been addressed in a great number of investigations, for example, in [52][53][54][55][56]. The basis for the model of the overflow link in the switching network adopted in this section is [54] that generalizes the model [51] into multiservice systems.…”

A Model of Erlang’s Ideal Grading with Multi-service Traffic Sources

“…The elaboration of an EIG model with multi-mate traffic [19,20] has restored EIG's popularity and made it useful in modeling modern telecommunication systems. For example, in [21], a model was proposed for systems with reservation; in [22], the authors attempted to model the WCDMA radio interface, and [23] proposed VoD system models and in [24,25] proposed model of systems with overflow traffic. These models, however, assume single-service traffic sources.…”