MATHEMATICAL MODEL OF THE MARKET OF ONE PRODUCT WITH OPTIMAL DELIVERY TO THE MARKET UNDER CONDITIONS OF DELAY
Abstract
The market of one commodity functioning in discrete time t is considered. It is assumed that the ordered goods enter the market with a delay of τ units of time. In this formulation of the description of market dynamics, a supply line is not required. The problem of mathematical description and simulation modeling of the inertial market of one product under optimal control of the supply of goods to the market under conditions of delayed supplies is considered. The mathematical description of the market is represented by a restrictive (subject to inequality-type constraints) dynamic model with retarded control. It is shown that the optimal strategy for supplying goods to the market in terms of the maximum profit of the seller is determined by the mathematically formulated strict conditions for the state of the market (commodity shortage, overstocking of the market, dynamic equilibrium of the market).
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