Метод формування бази даних для задачі оптимального планування діяльності підприємства

Abstract

Запропоновано метод формування бази даних шляхом вибору масштабування ресурсів для відображення дій (процесів) у п-вимірному просторі під час розв’язання економічних задач, зокрема, під час прийняття рішень для оптимального планування діяльності підприємства. Виконано перехід від економічної задачі до еквівалентної їй математичної, для розв’язання якої залучаються методи математичного моделювання.

Economic activity of the enterprise requires constant analysis, optimization, decision-making. Database for the analysis often meets difficulties in processing through a large number of different metrics. This requires the transition to computer, digital technology, which is based on the compilation of algorithms for a sequence of mathematical calculations. At the same time, similar values may not differ numerically (mathematically) from each other, but have different economic content. This will complicate the algorithm, and initial data will also be large in volume. One way to solve this problem is to provide database of "qualitative" character, especially for the same values (that is, the same numerical value). In this article, the method of database creation is proposed by choosing the scaling of resources for the mapping of actions (processes) in the n-dimensional space when solving economic problems, in particular, when making decisions for optimal planning of the enterprise's activity. By setting conditional density, each action (process) is represented as a nparallelepiped (a rectangular n-dimensional parallelepiped). This makes it possible to solve economic problem: to make a production optimization balance of the implementation of processes (actions) at the enterprise, subject to the limited resources available in the enterprise, go to the mathematical: to arrange the nparallelepipedes in the given n-parallelepiped in such a way as to minimize the residual after placement area (or maximize its fill factor). Thus, in the work the algorithm of sequential actions and mathematical calculations for solving economic problems of compiling an optimized production balance from homogeneous resources is developed. The emphasis is placed on the possibility of providing the same values (actions) of the quality attributes, which facilitates a verbal analysis of the economic problem.