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Managing production capacity of industrial enterprises is an important element of the strategy for the development of production systems. The relevance of effective decision support methods in managing production capacity especially increases in the current conditions of a long-term decline in investment activity of Russian industrial enterprises and, as a result, a shortage of modern high-tech equipment, which becomes a significant limiting factor in the development of territorially oriented production systems. The article presents approaches to mathematical modeling and optimization of production capacity of industrial enterprises in solving the problem of its expansion under given budget constraints. The proposed mathematical model includes key parameters of the technical and economic planning of production capacity of a technological site and serves as a tool to justify the choice of an acceptable method for its expansion. The multicriteria optimization methods used in the model serve in this case as a means of formalized description and reaching a reasonable compromise based on the required values of the target parameter and budget constraints, as well as preferences of the decision maker. The article contains an example of the numerical implementation of the developed model in the management of production capacity of a machining site; the example illustrates practical applicability of this model and the result of multicriteria optimization from the standpoint of restrained pessimism of the decision maker.

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Multi-criteria Optimization in Solving the Problem of Expanding Production Capacity of an Enterprise as a Method of Modeling Strategic Directions for the Development of Production Systems