This article presents research results of holacratic models implementation for high-tech sector of Russian and foreign markets. The relevance of conceptual models implementation to organizational systems is caused by a competition of effective business models and continuous costs optimization of high-tech enterprises. The problem of a rapid transition from classical cascade and divisional models to holacratic ones is forced by the needs of management methods and models that will ensure high-quality process and economic changes without a negative impact on the supply chain and the process of creating goods or services with a high added value for modern enterprise economy. This research presents a comparison of classical management methods in organizational systems versus holacratic ones. The problem analysis considers the mathematical features of comparing existing management models. Achieved results presented in this article indicates that the need of the methodology for rapid transition to holacratic management models in organizational systems is beginning to emerge including development of a conceptual mathematical model for an ideal holacratic organization. Functional and process gaps during transition to a new management model including mathematical aspects under given conditions can be considered as the conclusion for research.