Protsenko І. Optimal strategy for multiproduct models of inventory control.

The dissertetion is devoted to solving the actual scientific problem, the point of which is to find the optimal conditions of (s, S)-strategy for multiproduct problems of theory of stocks. Were specified the conditions of existence and form of the optimal strategy in a class of stationary deterministic strategies with the general cost function, decreasing functions of general expenses and convex function of total costs. Also for semi-Markov multiproduct model of inventory control were identified the conditions of existence and form of the optimal strategy for cases with the general cost function, decreasing functions of total costs and convex function of total costs. Stationary distributions in inventory control models were analyzed and investigated. In explicit form were found the parameters that determine the optimal strategy for the (s, S) -strategy. Were obtained probabilistic estimates of a two-level model of restocking.