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Modeling the processes of creating and improving production technologies is one of the most important tasks in the sphere of providing competitiveness for enterprises, branches and complexes in the strategic aspect. For the moment, the model Gartner’s Hype Cycle is used for the specified tasks, which describes changes in expectations from technologies in the course of a determined period of time from the moment when this technology appears to the moment of its complete development. At that, the results of analysis of literary sources on the explored theme speak about the lack of effective instruments for mathematical description of the process of developing and implementing production technologies in the practice of industrial enterprises. The given circumstance has validated the necessity of working out a mathematic model for the specified process; its elements should have a determined functional designation and it enables comparing the processes of development of different technologies.

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