Subject This article considers and discusses planning as the primary function of management of an enterprise or company. Objectives The article aims to create an economic and mathematical model of production planning, which helps minimize the costs of production, maximize profits and reserves of resources through optimizing the machine run time to manufacture each type of product. Methods The study approaches the formation of a production plan as a process of solving a three-objective optimization problem, the basis of which is constituted by three single-objective optimization problems. The fair compromise and Monte Carlo methods were also used. Results The article presents certain results of calculations for the enterprise where the multi-stage production process operates. It also formulates a multiple criteria optimization problem and proposes its solution. Conclusions The problem described gets solved through the search of machine run time necessary to achieve the set goals. This problem can be applied and considered in a multi-stage production process, the release of several products, and the need to achieve several goals simultaneously. The problem can be modified depending on the peculiarities of the enterprise.
Keywords: manufacturing programme, multi-objective optimization, fair compromise method, Monte Carlo technique
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