THEORETICAL-GRAPHIC MODEL ENTERPRISE FINANCIAL REPORTING

Анотація

From the very beginning, modeling methods using graph theory found their application in various and superficially dissimilar areas: chemistry, electrodynamics, geography, etc.This article is devoted to the analysis of well-known mathematical models for the development of a small enterprise and the development of a graph-theoretic dynamic one-product financial model the activities of the enterprise.The relevance of the problem is that at the present stage of economic development, both in our country and abroad, in the system of financial management of an enterprise, more and more attention is paid to the organization of cash flows.They have a significant impact on the final results of the economic activity of the enterprise.However, it should be noted that the concept of cash flow of the enterprise, as an independent object of financial management, has not received sufficient reflection, not only in domestic but also in foreign literature on financial management.The financial activity of the enterprise is proposed to be considered as a coherent oriented graph on which the first Kirchhoff law is defined.Also considered is the task of analyzing the dynamics of various types of small enterprises, the production process of which is described by different production functions, including non-linear ones.When solving problems associated with the dynamics of the development of a small enterprise, matrix graph theory, differential equations, and stochastic analysis were used.The dynamics of the development of a small enterprise and the financial circuit on it using a combination of several approaches: the construction of a network model of the enterprise and the analysis of the dynamic equations of enterprise development are considered.A system of equations is obtained that describes the dynamics of the development of a small enterprise and the circuit of its financial resources.This allows managers to make effective management decisions.In the future, it is planned to consider a nonlinear modification of the model and investigate the solution of the corresponding nonlinear degenerate differential equations.

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