MATHEMATICAL MODELS OF DECISION SUPPORT IN ASSORTMENT AND INVENTORY MANAGEMENT

The multi-stage procedure for decision-making for inventory and assortment management under conditions of uncertainty is proposed. In the first stage we seek a range of products and their volumes, delivering the maximum profit of the trade enterprise. In the second stage, with the found range of products and their volumes, by the optimal strategy of replenishment on the horizon of management, allowing to reduce the costs of the trade organization, is determined. It was shown that many situations of inventory management can be considered as Queuing tasks. The mathematical model of replenishment of stocks by batches on the basis of the theory of mass service in which it is necessary to deal with group deliveries is developed. The main characteristics of a refill are given Queuing system. The most important feature of the proposed model is the possibility of obtaining the optimal parameters of inventory control strategy with known mathematical expectation of demand for goods. The problem of assortment and stocks management has a high dimension, ABC-analysis was proposed as a tool for reducing the dimension and improving the quality of management. To implement the analysis, a differential method is used. The effectiveness of the management system depends to a large extent on the ability to give with an acceptable accuracy the forecast of demand for goods. Mathematical models of demand forecasting based on the analysis of time series are proposed.