МОДЕЛЬ РЕГУЛЯТОРНОГО МЕХАНИЗМА СТИМУЛИРОВАНИЯ КОМПАНИЙ НА ОПТОВОМ РЫНКЕ С ЕДИНЫМ ПОКУПАТЕЛЕМ

К.Б. Остапченко, О.И. Лисовиченко, З.Х. Борукаев

Èlektron. model. 2019, 41(6):37-48
https://doi.org/10.15407/emodel.41.06.037

АННОТАЦИЯ

Разработана математическая модель регуляторного механизма анализа динамики прибыли производственных компаний в условиях изменения цен на основные ресурсы производства на оптовом рынке с единым покупателем. Эта модель создана на основе дальнейшего развития применения математической модели Вольтерра «хищник–жертва» и логистического уравнения Ферхюльста. Найдено аналитическое решение для частного случая модели, позволяющее установить зависимости необходимые при принятии решений регулятором рынка по формированию цен на продукцию и ресурсы производства. С целью исследования модели проведены вычислительные эксперименты, которые подтверждают достоверность получаемых результатов моделирования и адекватность реальным процессам взаимодействия в экономической системе "производите-ли-единый покупатель продукции".

КЛЮЧЕВЫЕ СЛОВА:

математическая модель, регуляторный механизм, прибыль, оптовый рынок.

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OSTAPCHENKO Konstantin Borisovych, Cand. of sciences (engineering), associate professor, associate professor of Technical Cybernetics Department National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», graduated from Kiev Polytechnic Institute in 1986. The field of scientific research — modeling and software of computerized integrated systems.

LISOVYCHENKO Oleh Ivanovych, Cand. of sciences (engineering), associate professor, asso-ciate professor of Technical Cybernetics Department National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», graduated from National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» in 1999. The field of scientific research — modeling complex systems and intelligent decision making systems.

BORUKAIEV Zelim Kharitonovych, Doctor of sciences (engineering), senior scientific worker, leading scientific worker of the Department of Mathematical and Econometric Pukhov Institute for Modelling in Energy Engineering National Academy of Sciences of Ukraine, graduated from Rostov State University in 1971. The field of scientific research — mathematical model-ing of physical fields and processes, modeling of information processes and systems.

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