Applying Set Theory to Develop Key Performance Parameters of the Labour Sector of the Penitentiary System

The article considers the development of information management systems, decision support and modelling for production processes in penitentiary institutions. The work outlines the problem of insufficient study of production and labour sector data both from a scientific viewpoint and from the standpoint of developing new software and practical application. It is found that the first steps to solve the above-mentioned problems will be proper data structuring and identifying key performance parameters. Presenting data as sets and studying the interaction between them can be a good solution to the problems posed. Thus, the work formulates the task of determining the key performance parameters of the labour sector of the penitentiary system, and considers the principles of set theory as tools for solving this problem. In addition, the authors use previously created developments such as an indexing system and a software package for collecting statistical data to settle this issue. As a result of the study, rules are determined, as well as relationships that can be applied to detect the key performance parameters and develop an information system, as well as to create databases with improved structuring that are more practically oriented.