Applying optimization models for the formation of the management system of business processes

The purpose of this paper is to build a model for the optimization of the management system of business processes of enterprises, taking into account the time factor. Additional limitations in the model allow the influence of the quarantine restrictions on enterprises’ economic activity in the context of the COVID-19 pandemic to be identified. The methods used in this paper are: analysis; synthesis; systematization; theoretical generalization; the method of Charnes and Cooper; the synergistic approach; and modelling. The negative impact of the COVID-19 pandemic on the economic activity of enterprises in Ukraine, in particular in the engineering services sector, is discussed. The economicmathematical model of the rational formation of the management system of the business processes of enterprises in the engineering services sector, taking into account the time factor, is developed. This allows business processes to be optimized and economic activity to be improved in terms of the global pandemic. The results of using the optimization model for the management system of the business processes of project design, electrical maintenance, manufacture of electrical equipment, starting-up and adjustment works, and consulting are presented. The economic-mathematical model is an effective tool for the improvement of quality management systems and the activity of enterprises as a whole. The scientific novelty of this research may be considered from the prospects of two aspects of the optimization of business process systems: 1) the value of the financial resources in time; and 2) the impact of quarantine measures related to restrictions on carrying out economic activities in time. The application of the economic-mathematical model of the optimal organization of business process systems to enterprises in the engineering services sector will allow toplevel managers to receive important information for managerial decision-making, which is aimed at improving the quality of the management system, achieving the key business objectives, and maximizing profit