Mathematical models of production systems development, based on optimal aggregation methodology

The theoretical fundamentals and principles of development models and methods of the production systems development processes optimization, based on optimal aggregation methodology are proposed. The new approach is a generalization and development of the methods of maximum and dynamic programming principle. The characteristic feature of the given approach from its analogues – decomposition of multidimensional optimization problem in one-dimensional tasks system. On the base of resource links graph analysis between the elements of production systems binary tree of optimal aggregation is built. As a result, the multidimensional nonlinear model of the production system is replaced with the equivalent by input-output one-dimensional element, for which variation problem of the optimal development with integral criterion of the first kind is solved.