Solution of problems of designing automated management systems
DOI:
https://doi.org/10.31548/energiya2020.02.106Abstract
Abstract. The article is devoted to the optimization of multilayer systems with distributed parameters. Considering multilayer microbiological systems containing local, discrete sources of temperature fields, the authors come to the conclusion about the need for optimization problems analysis and synthesis. This means that the implementation of a larger number of applied optimization mathematical models will, on the one hand, make it possible to increase the accuracy of the search for rational parameters of multilayer systems, and on the other hand, increase the amount of spent machine memory and the duration of the implementation of applied optimization mathematical models with the use of software and hardware. One way to overcome the indicated difficulties is the use of grid processors on analog models, which will significantly reduce the time spent on each iteration by parallelizing the computational process.
The object of research is the laser fission process of a multilayer, heterogeneous microbiological material. Their uniqueness lies in the consideration at the stages of mathematical modeling and optimization, both of the multilayer structure of the microbiological material and the features of the electron beam exposure, and of the stage of preparation of the microbiological material before the laser fission process.
In the article, the authors consider two applied mathematical optimization models for the search for rational values of the temperature field and its parameters. The essence of the first applied optimization mathematical model is as follows. Microbiological material is stored frozen in liquid nitrogen. In the process of defrosting, it is necessary to ensure that appropriate parameters are controlled to ensure that the permissible thermal stresses are not exceeded. This will avoid rupture of tissues of microbiological material during defrosting.
Key words: optimization, local sources, synthesis, mathematical modeling
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