Combinatorial considerations for switching systems carrying multi-channel traffic streams

Stasiak, Maciej

doi:10.1016/b978-0-444-82031-0.50124-4

Cited by 13 publications

(55 citation statements)

References 3 publications

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“…The assumption is that the switch of the last stage can be directly available or available through direct occupancy. In line with definition [32], a switch is directly available when, in a given state of the network, there is a possibility of setting up a connection of a given class between this switch and a given switch of the first stage (at the input of which a call arrives). A switch is available through direct occupancy if there is a set up connection of a given class between this switch and a given switch of the first stage.…”

Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

“…In this group of methods, the most effective ones for modelling switching networks are effective availability methods [32]. The essence and basic assumption in this group of methods is the idea of determining the blocking probability in a multi-stage network on the basis of an equivalent single-stage system, i.e.…”

Section: Related Workmentioning

confidence: 99%

“…The determination of the effective availability for a traffic stream of class c is based on the concept of the so-called equivalent network [32]. The equivalent network is a singleservice network with the same structure as the multiservice network.…”

Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

“…For the purpose of the discussed recurrent method, to determine effective availability d z (c) for a traffic stream of class c in z-stage equivalent network, the following formula can be used [48]: Parameter π z (c) determines the probability of an event in which a connection of class c between a given switch of the first stage and a given switch of the last stage cannot be set up. The determination of this parameter is based on the analysis of a channel graph for the equivalent switching network [32,59], -υ-the number of output links in a given direction, -η-the value that defines which part of fictitious traffic, in a switch of the first stage, is serviced by the considered direction. If traffic is uniformly distributed between all υ directions, we get η = 1/υ.…”

Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

“…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].…”

Section: Related Workmentioning

confidence: 99%

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

Głąbowski

Sobieraj

2017

Telecommun Syst

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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.

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Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

Section: A New Model Of Inter-stage Links With Threshold Mechanismsmentioning

confidence: 99%

Section: Related Workmentioning

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

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Equalisation of blocking probability in switching systems with limited availability

Stasiak

Głąbowski

Zwierzykowski

2000

IFIP Advances in Information and Communication Technology

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Three reservation algorithms for the limited-availability system are proposed and compared in the paper. These algorithms can be used for call blocking equalisation in outgoing links of multiservice switching networks. Two approximate methods of equalised blocking probability calculation in the system with limited availability are proposed. Results of analytical calculations are compared with results of digital simulation of limited availability groups and switching networks with reservation. These researches have confirmed a great accuracy of the proposed calculation methods. The formulae derived by the authors can be useful for the analysis and design ofiSDN and B-ISDN systems.

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

Głąbowski¹,

Stasiak²

2014

IET Circuits, Devices & Systems

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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.

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Combinatorial considerations for switching systems carrying multi-channel traffic streams

Cited by 13 publications

References 3 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

Equalisation of blocking probability in switching systems with limited availability

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

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