Mathematical models of optimal allocation of logistical capacities in the regional system of commodity flows

The article considers tasks of allocation and innovation development of logistical capacities. The essence of the first task lies in optimal (from the position of the criterion of minimum expenditures) formation of the regional system of logistical capacities of various types and purposes in possible places of their location. These capacities should treat the set commodity flows, which possess a complex structure and are produced by different centres. The original conditions of the second task are a certain, already existing, system of logistical capacities. It is necessary to conduct its modification by a rational method using methods with various degree of innovation: simple accumulation of capacities of original productivity, modernisation of existing technological units and introduction of new more efficient capacities. In order to solve the specified tasks, the article built optimisation models, which correspond with setting mathematical tasks of partially integer-valued linear programming.