A simple approximation for the Erlang loss function

Pinsky, Eugene

doi:10.1016/0166-5316(92)90031-b

Cited by 9 publications

(5 citation statements)

References 11 publications

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“…The conducted studies [1] revealed that when solving optimization equations for basic structures, it is advisable to use the approximations proposed in [8] to optimize the link switching network of a hierarchical structure, because they make it possible to take into account modularity of transmission systems, structure of the switching field and the connection establishment algorithm, and, at the same time, significantly reduce number of calculations.…”

Section: The Methods Of Choosing Network Structure For An Audio Analy...mentioning

confidence: 99%

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Optimization of a Basic Network in Audio Analytics Systems

Poroshenko

Kovalenko

2023

A.I.S.

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Relevance. The sound is a source of data that provides information necessary for survival and warns of potential dangers. Audio analytics solutions allows detecting and responding in time to illegal actions and violations of the law, which are accompanied by appropriate sounds. Therefore, the problem of reducing delays in the transmission of audio streams in network-based systems of audio analytics becomes relevant. The object of research is the process of audio signals transmitting. The subject of the research is mathematical models of audio and video streams transmission in network systems. The purpose of this paper is to develop an approximate method for quickly solving optimization equations for a network of connecting links and to assess the adequacy of the developed method. Research results. A method for selecting the network structure of the audio analytics system is proposed. The optimization of the network structure of audio analytics system under non-ordinary Poisson load is presented. The optimization of the basic network of audio analytics system was studied according to the cost criterion. Comparisons of the optimization results shows that the given link distribution options are not significantly different from each other and are close in cost.

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Section: The Methods Of Choosing Network Structure For An Audio Analy...mentioning

confidence: 99%

“…Articles [8,9] discuss the development of mathematical models in network systems. Article [10] is focused on the study of audio data transmission in multiservice networks.…”

Section: Introductionmentioning

confidence: 99%

Optimization of a Basic Network in Audio Analytics Systems

Poroshenko

Kovalenko

2023

A.I.S.

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“…The design calculation of the quality of service parameters of an asynchronous network is necessary, since the complexity of its configuration, as well as its operation in real time and in interactive mode, greatly reduces the ability to intuitively evaluate the performance of an asynchronous network. The inability to achieve design capacity in a real-life asynchronous network is due to a lack of understanding at the design stage of the characteristics of the future workload and its interaction with system components [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Calculating algorithm of service quality statistical parameters for asynchronous network subscribers

Satibaldievna

O.Z

Zh.R

2020

IJEECS

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It is often necessary to determine statistical parameters that characterize the quality of service on the network by managing when designing computer networks using the concept of virtual connections with bypass directions. In many ways, the attainable level of quality of the services provided is determined at the stage of network design, when decisions was made regarding the subscriber capacity of stations, the capacity of bundles of trunk lines, the composition and volume of telecommunication services provided. Despite constant progress in the field of network technologies, the problem of determining the necessary amount of network resources and ensuring the quality of user service remains relevant. In this regard, this article discusses a broadband digital network with service integration, based on an asynchronous network in which an iterative method implemented. Here the flow distribution is determined by the route matrix, and the load distribution between the nodes of each pair of nodes made through the path tree obtained on the matrix of routes when calculating this pair. At the same time, an algorithm has been built for allow optimal allocation of channel resources between circuit switching and packet switching subnets within an asynchronous network.

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“…Various numerical procedures have been proposed for calculating B(a, x) -see for example [15] [18] [19] [21] [23]. The first order partial derivatives of B(a, x) with respect to a and x are given by (see for example [18]):…”

Section: Assumptionsmentioning

confidence: 99%

On a bicriterion server allocation problem in a multidimensional Erlang loss system

Esteves

Craveirinha

2013

Journal of Computational and Applied Mathematics

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Abstract. In this work an optimization problem on a classical elementary stochastic system system, modeled as an Erlang-B (M/M/x) loss system, is formulated by using a bicriteria approach. The problem is focused on the allocation of a given total of κ servers to a number of groups of servers capable of carrying certain offered traffic processes assumed as Poissonian in nature. Two main objectives are present in this formulation. Firstly a criterion of equity in the grade of service, measured by the call blocking probabilities, entails that the absolute difference between the blocking probabilities experienced by the calls in the different service groups must be as small as possible. Secondly a criterion of system economic performance optimization requires the total traffic carried by the system, to be maximized. Relevant mathematical results characterizing the two objective functions and the set N of the non-dominated solutions, are presented. An algorithm for traveling on N based on the resolution of single criterion convex problems, using a Newton-Raphson method, is also proposed. In each iteration the two first derivatives of the Erlang-B function in the number of circuits (a difficult numerical problem) are calculated using a method earlier proposed. Some computational results are also presented.

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A simple approximation for the Erlang loss function

Cited by 9 publications

References 11 publications

Optimization of a Basic Network in Audio Analytics Systems

Optimization of a Basic Network in Audio Analytics Systems

Calculating algorithm of service quality statistical parameters for asynchronous network subscribers

On a bicriterion server allocation problem in a multidimensional Erlang loss system

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