Mathematical modeling of local regulation of blood flow

At the initial stage of their development the adaptive automated production control systems (AAPCS) were virtually static systems. With the transition to the market the dynamics of the environment increased dramatically, resulting in a need for quick transition to new products. A new class of adaptive systems with a changing purpose of procedure functioning appeared. They required mathematical description, which was almost absent before, taking into account the specifics of these systems. To develop such a description the authors have proposed a scheme based on the methods of systems analysis. The peculiarity lies in the development of a uniform method for describing diverse planning and management processes. The authors have developed the requirements for such mathematical description of planning and management the production control system with a three-level structure, as well as analyzed the methods, which showed the absence of systemic description methods. In this regard, the system method were developed from local methods, which included static linear programming, dynamic linear programming, and linear quadratic optimization...