Multi-rate Model of the Group of Separated Transmission Links of Various Capacities

Sobieraj

2017

Telecommun Syst

This article proposes a new analytical method of determining occupancy distribution and blocking probability in multiservice switching networks with admission control mechanisms and resource management mechanisms. The proposed method is a universal one, which allows for determining blocking probability using the same model, regardless of the type of admission control mechanisms and resource management mechanisms. The versatility of the method is demonstrated in the article for two selected mechanisms, i.e. a threshold mechanism and a resource reservation mechanisms. The switching networks under consideration are offered multiservice traffic streams, generated by the so-called multiservice sources, according to Erlang, Engset and Pascal distributions. The proposed method is based on a generalised way of determining traffic characteristics for inter-stage links of switching networks with resource and call management mechanisms. Particular attention is given to determining the influence of the introduced mechanisms in outgoing links of the switching network on the traffic properties of inter-stage links of the network. The results of analytical calculations are then compared with the results obtained in digital simulation for a number of selected switching networks.

“…3.1, the so-called limited-availability group model with multiservice traffic sources [54] (Fig. 2) and introduced reservation mechanisms.…”

Section: Model Of Output Links With Resource Reservationmentioning

confidence: 99%

Section: Model Of Output Links With Resource Reservationmentioning

confidence: 99%

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

Sobieraj

2017

Telecommun Syst

“…In [10], an approximate method of blocking probability calculation in GMLAG with multirate traffic streams was proposed, whereas in [9], GMLAG with Engset (binomial) traffic streams was considered. Based on these methods, we can assume that the occupancy distribution in GMLAG with BPP traffic can be determined on the basis of the modified KaufmanRoberts recursion Eq.…”

Section: Limited Availability Groupmentioning

confidence: 99%

“…Let us consider the so-called generalized model of the limited-availability group (GMLAG) [10], i.e., the group that consists of separated transmission links (subgroups) of various capacities. Let us assume further that the system is composed of links of q types (Fig.…”

Section: Limited Availability Groupmentioning

confidence: 99%

Modelling of state-dependent multirate systems carrying BPP traffic

2008

Ann. Telecommun.

This paper presents a simple approximate calculation methodology of the occupancy distribution and the blocking probability in state-dependent systems with multirate Binomial-Poisson-Pascal traffic. The particular traffic streams are generated by an infinite, as well as by a finite, population of traffic sources. The proposed methodology is based on the generalized Kaufman-Roberts recursion. The model enables calculations to be carried out for the systems in which accepting a new call depends on an admission control algorithm (e.g., a model of a full-availability group with bandwidth reservation) as well as for those systems in which accepting a new call depends on the structure of a system (e.g., a model of a limited-availability group). The results of the analytical calculations have been compared with the simulation results of exemplary state-dependent systems.

“…in the generalised model of the LAG is determined by the generalised Kaufman-Roberts recursion (2) in which conditional state-passage-probabilities σ i (n) are calculated as follows [42]:…”

Section: Limited-availability Group With Infinite Source Populationmentioning

confidence: 99%

Modelling of virtual‐circuit switching nodes with multicast connections

Trans Emerging Tel Tech

Stasiak

Zwierzykowski

2007

SUMMARYThis paper presents an approximate calculation methodology of the occupancy distribution and the blocking probability in a virtual circuit switching node with multi-rate unicast and multicast traffic streams. Particular traffic streams are generated by an infinite as well as by a finite population of traffic sources. The model enables calculations of any structure of the groups forming the outgoing directions of the node. Additionally, bandwidth reservation algorithms are also proposed in order to improve traffic characteristics of different traffic classes. The results of the analytical calculations have been compared with the simulation results of a switching node carrying multicast and unicast traffic streams.