Моделі та методи розміщення двоетапного виробництва з неперервно розподіленим ресурсом

Abstract

The thesis deals with the improvement of the processes to locate two-stage produc-tion 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. Mathematical models of continuous partitioning sets problem with additional con-nections has been proposed; the models describe two-stage processes to allocate material flows in terms of transportation and production systems which structural components are the enterprises that collection the resources being continuously allocated within certain ter-ritory as well as the enterprises which either consume or process those resources. Condi-tions to solve the proposed models have been studied; necessary and sufficient conditions of the optimality to solve the models have been formulated. Methods and iteration algorithms to solve the problems involving basic principles of infinite-dimensional optimization and duality theory have been elaborated. Software product to solve two-stage problems of optimal location of enterprises with continuously allocated resources has been developed. The obtained results make it possible to solve a range of practical problems con-nected with strategic planning in the sphere of productive, social, and economic activities.