The article presents a comprehensive study of the possibilities of applying mathematical optimization methods to improve the efficiency of managing organizational systems, using the example of forensic expert institutions. The work focuses on a critical analysis and adaptation of classical assignment theory to the realities of managing expert activities, which are characterized by high responsibility, diverse tasks, and strict procedural limitations. The evolution from simple linear assignment models to complex, multi-criteria, and generalized formulations that can adequately reflect the requirements for quality, urgency, and workload balance is analyzed in detail. The theoretical foundations and limits of applicability of key optimization paradigms, such as scheduling theory, the transportation problem, and the traveling salesman problem, have been investigated.

Keywords: management of organizational systems, resource allocation optimization, assignment theory, multi-criteria optimization, generalized assignment problem, load balancing, expert activity management, scheduling algorithms, decision support system

The article discusses the basic principles of information modeling of building systems that underlie BIM technology, and emphasizes the importance of their interaction, since the correctness and efficiency of the BIM process depends on this. The traditional and some basic curves characteristic of the life cycle of goods (products), which have found application in marketing theory, is given. It is noted that each stage of the life cycle of a construction object requires in-depth study and detailed study, since the analysis of scientific publications and the current regulatory document on information modeling revealed their contradiction to each other in some positions.

Keywords: information modeling, principles, life cycle curves, capital construction object, normative document.

The importance of ensuring reliable operation of steel vertical tanks is emphasized. Based on the analysis of a number of scientific publications and regulatory documents, the most characteristic defects are presented in tabular form by groups, the combination of which determines the choice of the method of overhaul or reconstruction of tanks. In accordance with the data given in the table, the most common methods of overhaul and reconstruction of steel vertical tanks are considered.It is noted the need to develop organizational and technological solutions based on information technology, using servers for monitoring through the GLONASS / GPS systems, which will allow, within the framework of monitoring, to detect defects and damage to structural elements in a timely manner during the operation stage and ensure their elimination in order to increase the residual life of vertical steel tanks .

Keywords: residual life, causes of defects, welds, cracks, work methods