Non-full-available queueing model of an EON node

Hanczewski, Sławomir; Stasiak, Maciej; Weissenberg, Joanna

doi:10.1016/j.osn.2018.01.004

Cited by 21 publications

(11 citation statements)

References 37 publications

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“…The model is characterized by high accuracy for a large number of systems and mechanisms used in practice, e.g. systems with multi-rate traffic [26], [27], non-full-availability systems [25], [31], limited-availability systems [29], [32], systems with different types of traffic streams [30], [33], [34], systems with threshold mechanisms [28], [35]- [37] and overflow systems [38]- [41]. The parameter σ i (n) expresses the influence of state dependence on the intensity of call streams between the neighboring states in the Markov process, i.e.…”

Section: Occupancy Distributionmentioning

confidence: 99%

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A Multi-Service Model of Resources With the Neighboring Choice of Allocation Units

2021

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This article discusses a discretized model of resources to which a mixture of multi-service traffic streams is offered and the connections of individual traffic classes that require a large number of allocation units are always executed using adjacent allocation units. The necessity of occupying the adjacent allocation units is typical, for example, for elastic optical networks, in which these units are termed frequency slots. The present article proposes a new occupancy distribution specially designed for these systems. The new occupancy distribution discussed in the article is based on the approximation of the service process by a reversible Markov process. A particular attention is given to the method for the calculations of the so-called conditional transition probability of the transitions between neighboring states in the Markov process. The analytical results of the modeling are compared with the results of simulations of corresponding network systems.

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Section: Occupancy Distributionmentioning

confidence: 99%

“…[23], [24]. The first attempt to take into consideration the limitations in the occupation of frequency slots was undertaken in [25] and [20]. The aforementioned works apply the concept of virtual resources that define the possibility of setting up connections in a number of adjacent FSUs of the connection path in an EON.…”

Section: Introduction and Related Workmentioning

confidence: 99%

A Multi-Service Model of Resources With the Neighboring Choice of Allocation Units

2021

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“…Typically, the most convenient models for the analytical modeling of traffic characteristics of multi-service networks with traffic overflow are the so-called multi-rate models. The basic multi-rate models were initially developed for wired systems (networks) with integrated (multi-rate) services-ISDN (Integrated Services Digital Network) and B-ISDN (Broadband ISDN) [46][47][48][49]. Currently, they are also used to model wireless multi-service telecommunications systems [50][51][52].…”

Section: Related Workmentioning

confidence: 99%

On Increasing the Accuracy of Modeling Multi-Service Overflow Systems with Erlang-Engset-Pascal Streams

2021

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In this article, we present an analysis of the accuracy level of methods for modeling the multi-service overflow systems that service Erlang, Engset, and Pascal traffic. In systems with traffic overflow, new calls that cannot be serviced by the primary resources are overflown (directed) to other available resources that can service a given call, that is, to the secondary resources (alternative resources). In the article, we focus on studying the influence of methods for determining the parameters of traffic that overflows to the secondary resources on the accuracy of determining the traffic characteristics of overflow systems. Our analysis revealed that the main source of the inaccuracy of the existing methods is their approach to determining both the average value and the variance of multi-service Pascal traffic streams offered to the secondary resources. Therefore, we proposed a new method for determining the parameters of Pascal overflow traffic. The method is based on the decomposition of multi-service primary resources into single-service resources and the subsequent conversion of Engset and Pascal streams into equivalents of Erlang traffic. The results of the analytical calculations obtained on the basis of the new method are then compared with the results of simulation experiments for a number of selected structures of overflow systems that service Erlang, Engset, and Pascal traffic. The results of the study indicate that the proposed theoretical model has a significantly higher accuracy than the models proposed in the literature. The method can be used in the analysis, dimensioning, and optimization of multi-service telecommunication systems composed of separated resources, for example, mobile cellular systems.

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“…Note that the average value of traffic serviced by a single FSU in a real inter-stage link is also the occupancy probability of this FSU. This means that the occupancy probability of an FSU in a virtual link, is the result of the occupancy of an FSU in at least one of the real component links, can be interpreted as the average traffic y vir serviced by an FSU of a virtual link [57]:…”

Section: A Modeling Of Inter-stage Links In Optical Switching Networkmentioning

confidence: 99%

Analytical Modeling of Switching Fabrics of Elastic Optical Networks

et al. 2020

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This article proposes an analytical method for determining the traffic characteristics of multi-service switching networks in elastic optical networks. The method takes into consideration the limitations of W-S-W (wavelength-space-wavelength) switching networks in the execution of multi-slot connections in line with the concept of elastic optical networks. The results obtained on the basis of the developed analytical model are compared with the results obtained from the simulation experiments for a selected structure of a switching network. The study confirms the high accuracy of the proposed model. The model can be used to optimize and evaluate the effectiveness of blocking optical switching networks. INDEX TERMS elastic optical networks, energy-aware systems, multi-service traffic, optical switches, switching network, traffic engineering.

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Non-full-available queueing model of an EON node

Cited by 21 publications

References 37 publications

A Multi-Service Model of Resources With the Neighboring Choice of Allocation Units

A Multi-Service Model of Resources With the Neighboring Choice of Allocation Units

On Increasing the Accuracy of Modeling Multi-Service Overflow Systems with Erlang-Engset-Pascal Streams

Analytical Modeling of Switching Fabrics of Elastic Optical Networks

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