MATHEMATICAL MODELLING OF THE IMPACT OF GENERAL INDICATORS OF THE BASIC ADMINISTRATIVE MANAGEMENT SYSTEM ON THE PERFORMANCE OF AN ENTERPRISE (ORGANIZATION, INSTITUTION)

Abstract

Introduction. Contemporary management faces the challenge of determining which managerial innovations should be systematically integrated into administrative decision-making in order to ensure the sustainable development of a legal entity and to secure stable competitive and reputational advantages.
Problem Statement. There is a need to develop a scientifically grounded approach to assessing the
overall performance of the Basic Administrative Management System (BAMS), considered as a type of
information and communication system that facilitates the rational achievement of expected results, while taking into account organizational performance outcomes, administrative documentation practices, environmental factors, and the implementation of managerial innovations.
Purpose. The purpose of this study is to provide the scientific substantiation of a mathematical model
that captures the impact of the general indicators of the Basic Administrative Management System on the
performance of an enterprise (organization, institution), while identifying the characteristic functional
interrelationships among its constituent elements.
Materials and Methods. The research draws upon a comprehensive review of relevant scholarly sources and applies mathematical modelling, analytical and synthetic methods, graphical modelling techniques, economic modelling approaches, and systems-based analytical frameworks.

Results. The study has demonstrated, through the use of formulas, diagrams, and formalized models, the influence
of the system’s general indicators on organizational performance outcomes. The conditions required for the effective implementation of this managerial innovation have been identified and conceptually justified. Furthermore, the management process of a legal entity has been formally represented and analytically structured in order to evaluate the administrative significance of the identified indicators within the operational environment.
Conclusions. The findings have confirmed the substantive significance of the general indicators of labor organization and of the Basic Administrative Management System as determinants of organizational performance. The proposed approach enables the adaptation of mathematical models to the institutional and operational conditions of a
specific legal entity and supports the development of a methodological framework for their practical application as an analytical instrument for achieving sustainable competitive and reputational advantages.