ВИКОРИСТАННЯ МЕТОДУ ПОСЛІДОВНИХ ПОСТУПОК ДЛЯ РОЗВ’ЯЗУВАННЯ ЗАДАЧІ ПІДВИЩЕННЯ СОБІВАРТОСТІ ПРОДУКЦІЇ

Abstract

The processes of optimization of the production plan according to certain criteria were investigated. One of the problems is the difficulty of coordination and taking into account the impact of criteria on the optimal production plan. In practice, every company often faces tasks that require decisions that are quite complex and significantly affect the result. The choice of the best solutions is usually made by using a single numerical function - the criterion of optimality. The best solution is one that provides the maximum (or minimum) of the selected criterion. For the most part, the quality of decisions is characterized not by one but by many incomparable criteria. Therefore, it is necessary to make decisions based not on one but on many criteria. That is why the investigation and implementation of multicriteria models is an important stage in the development of modern science. The current rate of change in production is very high. To meet new needs and maintain the competitiveness each enterprise, firm, company must be able to make fast and correct decisions. Properly formed production program allows companies to meet the needs of consumers in products that are produced with the best use of resources, and get the maximum profit. Quite often there is a need to use mathematical methods to study this problem. The results obtained by solving a mathematical problem will make it possible to make optimal recommendations for certain actions. The main purpose of the company is usually to make a profit. One of the factors on which profit depends is the cost price. In view of this, an optimization model of the problem of increasing the cost price was proposed. The maximum price of manufactured products and the minimum costs for production was taken as criteria. At the same time it is impossible to ensure the maximum price and minimum production costs. Therefore, the solution was achieved by step-by-step solution of the proposed mathematical model of optimization of the production plan using the idea of the method of successive concessions, which would provide a certain price at low cost. An example shows an algorithm for solving this problem.