This article overviews models of the epistemological level of generative systems and their properties. The necessity to apply given systems and the theoretical basis of their formation are stated. A mathematical formalism of systemological methodology is applied for systems problem solving. The author gives a detailed description of the developed numerical algorithm of the generation and search of optimal generative systems. The author's algorithm provides execution of requirements shown to meaningful submasks and corresponding generative systems in systemology. It also fulfills the requirement for optimal generative systems. This article features the results of the algorithm testing on the data system with probability distribution functions. In work the comparative analysis of generative systems with various parameters is carried out, as well as comparison of the results got by means of the author's algorithm with the results given by other authors are presented. On the basis of obtained results was drawn a conclusion that efficiency of the offered algorithm.

Рассматриваются свойства математических моделей эпистемологического уровня порождающих систем. Исследуется необходимость их применения и теоретические основы формирования. Представлен авторский численный алгоритм генерации порождающих систем и поиска их оптимальных вариантов. По полученным результатам разработки делается вывод об эффективности предложенного алгоритма.