MULTIOBJECTIVE OPTIMIZATION IN THE PRODUCTION PLANNING PROBLEM

In this paper the authors indicate by means of a concrete example that it is possible to apply efficaciously the methods of multiple criteria programming in dealing with the problem of determining the optimal production plan for a certain period of time. By determination of the optimal production plan in this paper we assume simultaneous determining of the optimal production program and optimal technological variants. The result of production planning is the production program of the company which includes the production variants for each product. The choice of the optimal production program and optimal technological variants is significantly reflected in the company market position and in the quality of company operation. The work presents: (1) the selection of optimization criteria, (2) the setting of the problem of determining an optimal production plan, (3) the setting of the model of multiple criteria programming in finding a solution to a given problem, (4) the use of the zero-one programming for choosing the optimal technological variant for each product, (5) generalized multicriteria model for solving production planning problem and problem of choosing technological variants in the metal manufacturing industry.