APPLICATION OF LOTKA-VOLTERRA MODEL FOR OPTIMIZATION OF AUTOMATED PARTS PROCESSING SYSTEM

Abstract

The article shows peculiarities of the organization of technological processes of processing parts when applying automation of the enterprise and at same time defines main problems associated with production features, technological processes, problems of conservation and rational use of resources. It is shown that these problems are solved by optimizing production processes, in particular, e technological process of manufacturing precise parts of devices.
 Optimization of production has always been a very relevant issue for many enterprises in various branches of production. This is not surprising, because both the state and private business are always looking for new technologies and possible ways to reduce expenses, increase profits, and solve the problem of general improvement of production efficiency. However, after beginning of the full-scale invasion of Russia on the territory of the sovereign state of Ukraine and the massive destruction of industrial and critical infrastructure, civilian buildings and housing, the issue of effective use of available and surviving resources became extremely urgent. According to official data, as of April 2022, losses of industrial assets amount to $6.7 billion. So, this is why there is a need to optimize production under condition of its automation.
 On the basis of research on the current state of optimization of automated systems for mechanical processing of parts and basic scientific research on this topic, approaches to the justification of a formalized optimization model aimed at increasing the efficiency of instrument-making production are considered. An optimization solution is proposed, based on use of Lotka-Volterra mathematical model, which will allow optimizing the operation of precision parts manufacturing systems under the condition of production automation. The results of conducted proved the expediency of such bionic approaches to the automation of technological structures of the production enterprise, since the proposed model is mostly used in research of biological processes.
 So, well-founded analogies made it possible to determine full range of production problems, including logistical problems and personnel problems based on competing models.
 The created software, namely a web application that performs all the necessary calculations, provides the ability to build graphs that visualize the results of the optimization of automated parts processing unit of enterprise, or the overall system, or its individual structural unit.