Modeling of Systems with Overflow Multi-Rate Traffic

Głąbowski, Mariusz; Kubasik, K.; Stasiak, Maciej

doi:10.1109/aict.2007.30

Cited by 12 publications

(5 citation statements)

References 9 publications

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“…Call blocking is a key performance measure in telecommunication networks (Abdalla and Boucherie, 2002). Systems in telecommunication with overflow traffic have also been widely used (Głabowski et al, 2008). Boucherie and Mandjes (1998) derived a closed form solution of the equilibrium distribution to measure performance of cellular mobile communications networks.…”

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confidence: 99%

A loss network model with overflow for capacity planning of a neonatal unit

2009

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The main aim of this paper is to derive a solution to the capacity problem faced by many perinatal networks in the United Kingdom. We propose a queueing model to determine the number of cots at all care units for any desired overflow and rejection probability in a neonatal unit. The model formulation is developed, being motivated by overflow models in telecommunication systems. Exact expressions for the overflow and rejection probabilities are derived. The model is then applied to a neonatal unit of a perinatal network in the UK.

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confidence: 99%

A loss network model with overflow for capacity planning of a neonatal unit

2009

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“…9) Fig. 5 Blocking probability in the alternative group with overflow multi-rate traffic, t 1 = 1 BBU, t 2 = 2 BBUs, t 3 = 6 BBUs, V = 120 BBUs, 6 Blocking probability in the alternative group with overflow multi-rate traffic, t 1 = 1 BBU, t 2 = 2 BBUs, t 3 = 6 BBUs, V = 120 BBUs,…”

Section: Figmentioning

confidence: 99%

“…Having the above in mind, we can come to a conclusion that the Kaufman-Roberts equations in their basic form (devised with the assumption of the exponential distribution of time gaps between the calls) cannot be applicable for determining call blocking coefficients in multi-rate traffic in the alternative group [7]. The present article aims at presenting a modification to the Kaufman-Roberts equations that would enable determining call blocking and loss coefficients that belong to different streams of multi-rate overflow traffic in the alternative group.…”

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confidence: 97%

Modeling of systems with overflow multi-rate traffic

2008

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The article proposes an analytical method for determining occupancy distribution and blocking probability in systems which are offered overflow traffic composed of multi-service traffic streams. The described analytical model enables determination of parameters of traffic overflowed from primary groups in hierarchically constructed telecommunication networks. The proposed method is based on an appropriate modification of the Kaufman-Roberts recursion for the full-availability group with multi-rate traffic and uses the modified Fredericks & Hayward's approximation. Additionally, an approximate method for dimensioning systems with multi-service overflow traffic is also presented. The analytical results of the blocking probability and the results obtained in the dimensioning processes calculated using the presented methodology are compared with the data obtained from the system simulation process.

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“…To determine the blocking probability of calls in the resource servicing multiservice overflow traffic, the Hayward method described in Section 2.1 was generalized in [43]. In the case of the multiservice systems, appropriate values of peakedness coefficients are introduced [17] into the Kaufman-Roberts model [34,35] that originally described multiservice systems without traffic overflow (i.e., systems with = 1 for all ):…”

Section: Modelling Of Multiservice Systems With Traffic Overflowmentioning

confidence: 99%

Modelling of Cellular Networks with Traffic Overflow

Głąbowski

Hanczewski

Stasiak

2015

Mathematical Problems in Engineering

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The paper proposes a new method for modelling multiservice cellular networks with traffic overflow. The proposed method employs a model of Erlang’s Ideal Grading (EIG) with multiservice traffic and differentiated availability. The fundamental advantage of the proposed method, as compared to other relevant methods, is a major simplification in modelling systems with traffic overflow that results from the elimination of the necessity of a determination of the parameters of overflow traffic, that is, the average value and the variance. According to the proposed method, calculations in the overflow system can be reduced to calculations in a system composed of one grading only. The paper presents the method for determining availability in such a grading that models a system with traffic overflow. The results of analytical calculations were compared with the results of simulation experiments. The results of the research study confirm high accuracy of the proposed method.

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Modeling of Systems with Overflow Multi-Rate Traffic

Cited by 12 publications

References 9 publications

A loss network model with overflow for capacity planning of a neonatal unit

A loss network model with overflow for capacity planning of a neonatal unit

Modeling of systems with overflow multi-rate traffic

Modelling of Cellular Networks with Traffic Overflow

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