Point-to-group blocking probability in switching networks with multi-service sources and bandwidth reservation

Głąbowski, Mariusz; Sobieraj, Maciej

doi:10.1109/csndsp.2014.6923805

Cited by 16 publications

(28 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Additionally, a study designed to compare the accuracy of the PGB-R method (developed in [50]) and the PGPPBRec-U method (Fig. 9) was carried out.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The first analytical methods that allowed appropriate reservation algorithms in particular stages of a switching network to be taken into consideration in calculations of the blocking probability were proposed in, e.g. [40]. The following works dealt with switching networks in which threshold mechanisms had been introduced [41].…”

Section: Related Workmentioning

confidence: 99%

“…terminals related to only one type of service. Relevant investigations, originally initiated in [46], are then continued in [50,51]. Gła˛bowski and Sobieraj [50] proposes the PGB-R method for calculations of the point-to-group blocking probability in a switching network with multiservice traffic sources and a reservation algorithm, while [51] discusses the PGB-T method for the determination of point-to-group blocking probability in a network with multiservice traffic sources and threshold mechanisms.…”

Section: Related Workmentioning

confidence: 99%

“…The methods of modelling networks with reservation mechanisms [50] were developed differently than those for networks with threshold mechanisms [51]. The influence of these mechanisms, applied to output links, on the traffic properties of inter-stage links was determined by scaling the reservation/threshold boundaries in inter-stage links, where the scale coefficient was defined as the ratio between the capacity of output links and inter-stage links.…”

Section: Related Workmentioning

confidence: 99%

“…To shape the dependence between the values of losses in individual multiservice traffic classes, it is possible to introduce threshold mechanisms [51] and resource reservation mechanisms [40] to particular links in switching networks. These mechanisms can be treated as both executions of the call admission control function and resource management processes, thus making it possible to introduce dynamic resource reservation for particular traffic classes or appropriate adaptation of the volume of allocated resources to match the occupancy state of the system.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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

Głąbowski

Sobieraj

2017

Telecommun Syst

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Additionally, a study designed to compare the accuracy of the PGB-R method (developed in [50]) and the PGPPBRec-U method (Fig. 9) was carried out.…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Głąbowski

Sobieraj

2017

Telecommun Syst

Self Cite

View full text Add to dashboard Cite

show abstract

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

2015

Self Cite

View full text Add to dashboard Cite

Abstract. The paper presents a new model of Erlang's Ideal Grading with multi-service traffic sources. Traffic sources of this kind correspond better with actual devices utilized by network users. As the proposed model is an approximate one, the results obtained with its help have been compared to the results of a computer simulation. The comparison has confirmed the correctness of the model's theoretical assumptions. The new model may successfully be used for modeling modern communication systems.

show abstract

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

Głąbowski¹,

Stasiak²

2014

IET Circuits, Devices & Systems

View full text Add to dashboard Cite

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.

show abstract

Point-to-group blocking probability in switching networks with multi-service sources and bandwidth reservation

Cited by 16 publications

References 15 publications

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

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

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

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

Contact Info

Product

Resources

About