Фрактальна сегментація економічної бази даних під час розв’язання управлінських задач

Abstract

Запропоновано метод перетворення економічної бази даних для її математичного аналізу під час розв’язання економічних задач, зокрема управлінських. Метод полягає у представленні даних через багатовимірні об’єкти (п-паралелепіпеди), кожен з яких є набором елементарних ппаралелепіпедів (сегментів) однакових об’ємів. Сегмент одержано шляхом фракталізації деякого початкового п-паралелепіпеда, який відповідає множині (сукупності) початкових даних.

At the present stage of business development, the role of management decisions is the highest. Management decision is both a process and a result of analysis of economic data, forecasting, optimization and selection of alternatives from many possible ways to achieve this goal. The process of making management decisions is the process of converting initial information (status information) into source information (management information). Data analysis is an urgent problem of today. The main purpose of the analysis is to obtain information useful for management decisions, a better understanding of business. From the rational presentation of data depends on their effective analysis, making the right management decision. To ensure the correct application of data in multidimensional analysis, joint research, complex technologies of analytical processing, the data must be scaled, ie lead to a certain format and presentation, to make common. Then scalable data can be analyzed and processed by various methods. Economic-mathematical (optimization) methods are quite common in data analysis and solving problems in the field of economics. To solve an economic problem, you need to build a mathematical model (provide the objective function and constraints), for an effective solution, you can use the methods of geometric design, in which the initial data are geometric objects. The paper proposes a method of transforming an economic database for its further analysis in solving economic, in particular, management, problems. The method is based on fractal segmentation of data presented as multidimensional objects (п-parallelepipeds). To achieve this goal, several tasks were solved: a) the transition from the economic problem to the corresponding mathematical one was performed; b) пparallelepipeds are represented as a set of elementary p-parallelepipeds of equal volumes. Drawing a parallel with the economic problem, we can say that the fractal segmentation of the economic database; c) the following scheme of solving the mathematical problem is proposed: construction of a mathematical model and solution of a mathematical (corresponding to economic) problem (with objects – пparallelepipeds) can be carried out by methods of geometric design and will provide the opportunity to obtain economic information to make the most rational management decision. Numerous examples of using the proposed method of database conversion are given.