Applied Physics and Mathematics Annotation << Back The method of fictitious flux:to optimal control resources Barabanov M.Yu.Nartov B.K. This paper presents a method for calculating the redistribution of the initial and / or ongoing resources in a wide range of practical problems optimal control. The presented method is based on a special extension of the dynamic equations of the system, formalizes the original problem. Additional terms of the right sides of the equations describing the managed switch in currents linking the components of the system state. Within a given intensity-sharing switch allows arbitrary reallocation of module components (resources) while maintaining their current amount. The form of the function, majorizing flow rate, determined by the type of task. In problems of the first type of accommodation is a part of the initial resources op timiziruemyh initial conditions, and the reallocation of resources to the control interval is prohibited or physically impossible. In this case majorized-regulating function allows arbitrary sharing of resources in the initial interval of time is small in comparison with the control interval, and then blocks kiruet exchange. Thus, the decision to modify the source of the problem, taken at the end of the initial interval contains the state vector, arbitrarily close to the desired optimum. In problems of the second type of initial conditions are hard coded, but allowed to ne-reraspredelyat current total resources to control interval. In this case, the majorizing function is constant on the entire range of control, and its value is determined by the intensity of the physical limitations of the real flows. Thus, the decision to modify the source of the problem contains, in addition, the plan optimal reallocation of resources to control interval, then implemented in real time. In problems of the third type are allowed as the initial optimization of resource allocation and reallocation of resources to optimize the range of management. In this case, the majorizing function is a combination of oscillating functions majorized problems of the first and second types. The proposed approach was used by one of the authors in the modeling of conflict driven mobile facilities. Among other possible applications, you can specify the transport problems linear programming, the planning and management of physical experiments and manage computing resources. Keywords: accommodation, allocation, resources, streams, switching, dynamic systems, neural networks. Contacts: E-mail: nartov@ofim.oscsbras.ru Pp. 94-97.