ADAPTATION OF LINEAR METHODS PROGRAMMING TO THE QUESTION
OF HARMONIZATION OF OPTIMAL PLANS
M. L. Lapshina, A. S. Chernykh, N.Y. Yudina
The current state of enterprises is largely determined by the economic activity of structural divisions, whose activities are decisive in the production of products for various purposes. For more precise coordination of plans, we formulate and consider the possibility of further optimal solution of the problem of harmonization of optimal plans at the economic level, which can be considered as one of the partial productions of the general problem of the relationship between the local and global interests of an enterprise or a company that has been delivered and studied already in the first economic and mathematical studies conducted both in our country and abroad. The decomposition method is associated with the approximation approach used in the development of a multi-step optimization system for prospective economic plans. The optimal plan for the global task is based on variant calculations of the optimal plans for certain collections of local objects, and it is possible to specify a formal method for distinguishing such structures. A specialized method of decomposing a convex optimization problem is also constructed, describing one of the possible approaches to solving some reconciliation problems. The relationship between product prices, resources and objectively determined assessments of global and local problems is investigated, as well as the possibility of using these estimates in the functioning of the economic mechanism.
Keywords: optimality, model, resources, vector, products.