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The problem of optimizing the life cycle of complex three-dimensional objects in small-scale production is considered. Additive technologies and optimization algorithms for the placement of three-dimensional objects are considered as technologies to solve this problem. Using the multilevel synthesis method can significantly reduce the time for prototyping new products. It should be noted that since several independent parts can be manufactured at the same time, this problem belongs to the class of optimization geometric modelling problems, namely, the problem of three-dimensional irregular placement. An algorithmic solution is proposed for the most complex task - placing 3D objects in a container. The results of the analysis of the effectiveness of the proposed algorithms are discussed.

The designing a digital twin of the process of the thermal cutting of sheet material using laser or gas equipment for its figure cutting is considered. The solution to the problem of optimizing the path of the cutting tool taking into account the thermal effects on the material to be cut is discussed. The solution of the problem of modeling the temperature change of the material to be cut is considered on the basis of a discrete - logical representation of information about the state of the technological system of sheet cutting. The results of a computational experiment are presented.

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