The article focuses on the problem of algorithmizing the process of building schedules in various spheres of human activity by using the modern mathematical apparatus, as well as achievements in the field of systems analysis, game theory, and graph theory. Nowadays, there have been analyzed and determined the boundaries of the effective application of many well-known heuristic and metaheuristic algorithms, which have shown good results in practice. However, despite the achievements in the discrete optimization, scheduling and network planning, the new problems of drawing up so-called coordinated schedules in the field of multi-project planning, which take into account the preferences (requests, wishes) of specific schedule executors, are still of practical interest. There have been considered the approaches and main stages of solving the problems of constructing coordinated schedules in multi-project planning, which is relevant for the development of new generation software and tools

article describes a formal approach to making managerial decisions based on precedents and building case management systems. Speaking of a precedent without reference to a specific subject area, it is important to emphasize that we are talking about a retrospective restoration of certain events, gaining experience, and possibly making managerial decisions similar to those that have been observed in the past. Decision making in human-technical systems is fraught with significant difficulties. These difficulties arise both as a result of uncertainty and the lack of experience in the functioning of systems (decision making) in new (changing) conditions. As practice shows, many real complex socio-technical systems operate in one day mode (short-term planning and manual control), without relying on previous experience, which ultimately leads to the need to use manual control in case of any emergency situations. It has been emphasized that in any socio-technical system that depends on the human factor, a knowledge-based management system is necessary, which, on the one hand, allows formalizing the decision-making process as a whole, and, on the other hand, reduces the dependence on the knowledge of individual narrow specialists in the subject area. To a certain extent, such systems accumulate knowledge; nevertheless, it is obvious that there are certain prerequisites (including external ones) under which this knowledge can be effectively applied. Often knowledge alone is not enough, experience is also needed. There have been considered the precedent decision-making systems based on the factor-domain principle of the subject area classification.

Modeling the behavior of social and economic systems plays an important role in various fields of knowledge. An important task is the prediction of the behavior of such systems and their states in the future, for the adoption of proactive and corrective management decisions. Despite the constant development of game theory and other disciplines of a socio-economic (cybernetic) profile, the issue of a generalized formalized description of such systems consisting of active elements remains relevant. Significant difficulties arise with the formal description of any systems that contain active elements (people), due to the human factor and the lack of reliable knowledge about the features of the human brain. Many theories, in particular the theory of management of organizational systems, use the idea of an “economic” person as a hypothesis, whose preferences can be described by the objective cost and effect functions, which is typical for “western” scientific trends. In most cases, the developers of such theories do not propose anything concrete, but merely shift the responsibility to decision makers who are invited to build all the models on their own. It has been stated that so far many social and economic processes are considered as strategic games and zero-sum games, which leaves its mark on the decision-making process. An agent model for multi-agent organizational systems has been formed, which can be used to develop planning, incentive mechanisms that are focused on the needs and wishes of work performers. Elements of the agent model under consideration are implemented in the system for monitoring the effectiveness of the activity of the Siberian State Industrial University.

The article considers the problem of the modern automated control systems which operate in the difficult conditions of constantly changing multi-factorial effects of the environment. Such systems should be considered as multi-mode, non-stationary human-technical systems, since they realize the integrated management of a complex technological object. As a rule, these systems are influenced by both environmental factors and complex man-machine mechanisms and technical means (such as communication devices with an object, programmable controllers - PLC), which constitute the control infrastructure, which ultimately leads to additional complexity and errors, additional management problems and reduced overall management quality. The approach to building an automated process control system is claimed to be based on using reference libraries and control algorithms (precedents), which are selected depending on the changing environmental conditions and the assets used, as well as on the logistics support. Despite the use of modern software and hardware in many systems, such as PLC, very often the quality of control leaves much to be desired. This is due to the fact that the control object changes over time for various reasons, and the control algorithm remains unchanged, which leads to a decrease in the efficiency of functioning of such systems. The generalized structure of the precedent process control system is described, which highlights the approach to the control of a technological object within the framework of the well-known concept of support-disturbed movement, which is suitable for building robust control systems for technological objects with substantial nonstationarity.

The subject of the research is to improve the efficiency of business processes for various industries (for example, IT service provision). Constant involvement in the competition is forcing service providers and high-tech product manufacturers to optimize internal and external processes to achieve the desired result. The market information and other services need to obtain an integrated toolkit that allows to perform analysis of existing processes and their metrics and make management decisions. The paper focuses on variable procedural model or network model of the business process as one of the components of the assessment system and the possibility to improve the efficiency of enterprises and organizations. The main actively applied research methods are the system analysis of the elements of set theory and graph theory. Illustration of a business process model has been made with the assistance of a methodological framework of the best management practices in the IT sector. The following developing effective technologies of software systems have also been used: relational databases, object-oriented programming, and unit testing. The novelty of the research is to develop a changeable business process model, which if necessary can be adjusted for a particular subject area. The essence of the elements of the variable model is reflected in the possibility of a flexible dynamic binding of certain roles or assets to the processes of the network schedule or procedures. Thus, the proposed model is sufficiently versatile, which allows using it in a wide range of applications and systems for performance improvement with a comprehensive assessment of costs and resources.