教育环境要素结构模型的性质研究

V. Gogunskii, K. Kolesnikova, Oleksii Ye. Kolesnikov, Janet O. Danso
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引用次数: 0

摘要

数学建模的广泛使用往往受到技术成熟度不足和缺乏理论基础来证明不同类别模型的有效性的限制。教育项目管理系统是一个复杂的、结构不良的组织和技术系统,改善教育项目管理系统的途径之一是解决系统参数变化的结构和轨迹建模问题。为了解决包括教育系统在内的复杂技术系统结构方案的分析问题,提出了在复杂控制系统中使用确定闭合循环的分析方法。该方法是基于使用邻接矩阵的特定属性。结果表明,邻接矩阵的度符合有向图的一般结构,并具有映射图弧的一定规律。这允许您通过在有向图中选择轮廓来创建所研究的拓扑结构的范围矩阵。基于到达矩阵的布尔度和及其随后的转置和叠加的形成,开发了一种识别图中循环的方法,该方法允许以充满单位的方子矩阵的形式获得图中轮廓的映射。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The study of the properties of structural models of elements of educational environment
The widespread use of mathematical modeling is often constrained by the insufficient level of technological maturity and the lack of theoretical foundations to justify the effectiveness of different classes of models. One of the ways to improve educational project management systems is to solve problems of modeling the structure and trajectory of changes in the parameters of the system in education management, as a complex poorly structured organizational and technical system. To solve the problem of analysis of structural schemes of complex technical systems, which include education systems, it is proposed to use the analytical methodof determining closed cycles in complex control systems. The method is based on the use of specific properties of adjacencymatrices. It is shown that the degrees of the adjacency matrix follow the general structure of the oriented graph with certain regularities of map-ping the arcs of the graph. This allows you to create a matrix of reach of the studied topological structure with the selection of con-tours in an oriented graph. A method for identifying cycles in graphs based on the formation of the Boolean sum of degrees ofthe reach matrix with its subsequent transposition and superposition has been developed, which allows obtaininga mapping of a contour in a graph in the form of a square submatrix filled with units.
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