RESEARCH OF ECONOMIC PROCESSES BY THE METHODS OF DISCRETE GEOMETRY

Abstract

The publication provides an analysis of the state of implementation and the effectiveness of the use of geometric methods of research and management of economic processes. The task of managing economic processes becomes extremely relevant in a decentralized (market) economy. Economic processes are complex and ambiguous. Many research and scientific works testify to the relevance and effectiveness of mathematical and geometric methods for analyzing economic processes and making decision in economic management.Management of economic processes in market conditions characterize by incomplete information and uncertainty. The system operates under random stochastic conditions. The law of variation of the parameters characterizes the process is first determined approximately based on the a priori dependence and refined over time. Thus, the task of forecasting and optimizing economic processes becomes urgent.Due to the complex type of mathematical objective functions that model the economic process, the sought solution should be consider a recommended characteristic. The final management decision made on the basis of practical experience as a result of expert analysis results probabilistic model and adjusted in accordance with the overall strategy for the development process. The use of geometric modeling methods, which distinguishes by their clarity and constructiveness, makes it possible to expand the capabilities of the apparatus for analyzing and predicting process changes. In addition, in geometry, as well as in economic processes, functions design and investigate on a finite interval of parameter changes, in contrast to unlimited abstract mathematical functions. The geometric interpretation of the probabilistic characteristics of the process determines a qualitatively new approach to finding a solution.It should be noted that for some reason: the discrete nature of data input-output, the presentation of design solutions, the compilation of calculation models, all models of economic processes should be considered discrete.The discrete nature of the models of processes in economics determines the relevance of using discrete geometry as a modeling tool.