Stanina O. Models and methods to locate two-stage production with continuously allocated resources.

The object of research - the processes to locate two-stage production with continuously allocated resources. The goal - the improvement of the processes to locate two-stage production by means of constructing mathematical models, methods, and algorithms for solutions which takes into consideration continuity of resources allocation and availability of several stages of production. The methods - methods of system analysis, mathematical modeling; infinite optimization? undifferentiated optimization and linear programming; the theory of convex optimization, duality, continuous problems of optimal set partitioning. The results – mathematical models of discrete-continuous problems of placement-distribution have been proposed; Models of the theory of continual optimal set partition (OSP) have been developed further; methods to solve OSP with additional communications problems have been proposed; the required conditions of optimality for this problem have been obtained; conditions to solve those problems have been obtained. Introduced in LLC «Scientific and production agro-corporation «Stepova» made practical recommendations for a rational collection of grain crops at the expense of zoning of its agricultural lands, de-termination of optimal locations of grain storage facilities, as well as efficient organization of grain deliveries to the points of further processing.