Розробка і порівняльний аналіз моделей оптимізації лінійки продукції

Abstract

The research is devoted to a topical issue - the analysis and generalization of mathematical models and programs for the object "product line", organized by price a set of products of the same purpose and different value. The problem of allocating common properties and specifics in the lines of common classes of products: cars, mobile phones, clothes, etc. is considered. Alternative mathematical models of product lines are considered. A study of the dynamics and steady states due to the "laws of the market" - models of supply and demand. The formulation and solution of new problems of analysis and synthesis of product line management, namely: taking into account the constraints of production and demand. The two-level optimal aggregation of the elements of the line - among the products of one price position and for price positions - in the optimal equivalent functions of production and demand is performed. We performed a study of the dynamics of the line with and without control. The results of modeling by alternative models of dynamics are given, the mutual confirmation of adequacy of alternative models by system is received.