Modelling of multiservice switching networks with overflow links for any traffic class

Abstract

This study proposes a new analytical model of a multi-service switching network with overflow links with finite capacity in the first stage of the network. The proposed model assumes that overflow links can service a number of selected call classes from among all classes offered to the network. A particular attention is given to the method for a determination of the effective availability parameter for networks with overflow links. The proposed model can be also used to determine the dependence between the internal blocking probability and the capacity of overflow links. A relevant simulation study has confirmed high accuracy of the proposed method as well as the applicability of the model in engineering practice, in modelling of multi-stage switching networks both optical and electronic.

Analytical modelling of multiservice switching networks with multiservice sources and resource management mechanisms

“…Studies on the application of effective availability methods were initially carried out for networks with single-channel traffic [33][34][35][36]. Then, the focus was turned to networks with multiservice traffic [32,[37][38][39].…”

Multiservice Switching Networks with Overflow Links and Resource Reservation

“…One of the most effective ways for decreasing the internal blocking probability in the switching network is the application of the so-called overflow links [13,14]. This method is based on an introduction of additional links between inputs and outputs of neighboring (adjacent) switches of this stage of the network to which the overflow mechanism has been introduced.…”

“…Additionally, a possibility of executing the overflow mechanism in single-service digital switching networks has also been considered in traffic engineering, notably in [15][16][17]. It has been proved recently, for example, 2 Mathematical Problems in Engineering in [14,18,19], that the application of overflow links is followed by a significant reduction of the internal blocking probability for selected or all classes of calls, including the case of switching networks servicing multiservice traffic [3,20,21], now dominant in modern computer and communications systems. Multiservice traffic is composed of a great number of call streams with different characteristics.…”

“…Fairly significant here are traffic streams generated by real time services, such as VoIP (Voice over Internet Protocol) [22,23] and DVoIP (Digital Video over Internet Protocol) [24]. References [14,18,19] prove (using simulation and analytical methods) that an introduction of overflow links between neighboring (adjacent) switches of the first stage in a multiservice switching network leads to the maximum decrease of the level of the internal blocking probability for selected or all call classes and consequently can lead to an increase in the number of serviced real time connections.…”

Modelling of the access part of a multi-service mobile network with service priorities

“…Until the 1980s, non-full-availability groups with single-service traffic were used in electromechanical switching nodes of telecommunications networks. With the advent of electronic nodes, groups of this type ceased to be used in their direct form, though they were, and still are, used in analytical models of more complex systems, such as, for example, single-and multiservice switching networks [16][17][18], network systems with reservation [19,20], systems with traffic overflow [21][22][23], video on demand (VoD) systems [24,25], or radio and Iub interfaces of the UMTS system [26][27][28]. One of the most extensive elaborations on non-full-availability groups is provided in the [29].…”