使用现代信息技术建模数据传输系统

E. Akhmetshina
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引用次数: 0

摘要

当为各种目的(包括计算机和电信网络)建模数据传输系统时,数学建模的两个组成部分都被广泛使用。它们是基于排队论的仿真建模和分析建模。同时,研究人员可以将仿真和分析建模得到的结果进行比较。从现代仿真建模技术中,可以挑选出IT GURU学术版技术,以具有强大图形编辑器的Opnet Modeler和Riverbed Modeler软件产品为代表。图形编辑器允许您创建任何复杂性的数据传输系统的仿真模型,并启动和运行它们的模型以获得这些系统的主要性能指标的统计数据。将仿真结果与G/G/1类型排队系统(QS)的结果进行比较,可以评估这些模型和其他数学模型的充分性。本文总结了作者关于基于时移分布规律(如指数分布、超指数分布和Erlang分布)的G/G/1系统的出版物的结果。因此,所使用的随机变量的这些分布规律提供了小于、等于或大于1的变异系数。从排队论的角度来看,这一事实很重要,因为系统中索赔的平均延迟直接取决于索赔到达和服务的时间间隔的变化系数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MODELING DATA TRANSMISSION SYSTEMS USING MODERN INFORMATION TECHNOLOGIES
When modeling data transmission systems for various purposes, including computer and telecommunication networks, both components of mathematical modeling are widely used. These are simulation modeling and analytical modeling based on queuing theory. At the same time, researchers can always compare the results obtained by means of simulation and analytical modeling. From modern technologies of simulation modeling, one can single out the IT GURU Academic Edition technologies, represented by the Opnet Modeler and Riverbed Modeler software products with powerful graphical editors. Graphic editors allow you to create simulation models of data transmission systems of any complexity, and launch and run their models to obtain statistics of the main performance indicators of these systems. Comparison of the simulation results with the results of queuing systems (QS) of the G/G/1 type makes it possible to assess the adequacy of those and other mathematical models. This article summarizes the results of the author’s publications on G/G/1 systems based on time-shifted distribution laws such as exponential, hyperexponential, and Erlang distribution. Thus, these distribution laws for the random variables used provide the coefficients of variation less than, equal or greater than one. This fact is important from the point of view of the queuing theory, because the average delay of claims in the system directly depends on the coefficients of variations in the time intervals for the arrival and servicing of claims.
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