Кафедра прикладної математики (ПМ)

Постійний URI для цієї колекції

https://openarchive.nure.ua/handle/document/69

Перегляд

Перегляд Кафедра прикладної математики (ПМ) за Автор "Tevyashev, A."

Зараз показано 1 - 2 з 2
  • Зображення мініатюри
    Документ
    About one problem of optimal stochastic control of the modes of operation of water mains
    (Econtechmod. An International Quarterly Journal, 2015) Tevyashev, A.; Matviyenko, O.
    The problem of increasing of the efficiency of operation of the water mains in modern conditions while the transition to a three-tier tariff for the electricity is examined in the present work. An effective method for solving this problem, based on the use of specific features of the water mains as stochastic objects operating in the stochastic environment is offered. The mathematical formulation of the problems of optimal stochastic control of the modes of operation of the water main with probabilistic constraints on the phase variables is presented. A new strategy for the optimal stochastic control of the modes of operation of the water main, the use of which has allowed to develop an effective method for solving the examined problem is proposed in the present work. It is shown that the transition from the classical deterministic problems of control of the modes of operation of the water mains to stochastic ones, provides a significant (up 9%) decrease of financial expenses for the electricity.
  • Зображення мініатюри
    Документ
    Optimal stochastic control of the modes of operation of the sewage pumping station
    (Econtechmod. An International Quarterly Journal., 2015) Tevyashev, A.; Nikitenko, G.; Matviyenko, O.
    In this work we propose a new mathematical model and method of optimal stochastic control of the modes of operation of the sewage pumping station for three-band tariff for the electricity, the implementation of which provides a significant reduction of financial expenses of the electricity for pumping waste water. The proposed model and method take into account the stochastic properties of the object of control and environment most adequately. The mathematical formulation of the problem of optimal stochastic control with extreme and probabilistic constraints on the phase variables and efficient algorithm to solve it is presented. The proposed method of optimal stochastic control provides minimum of the mathematical expectation of the volumes of pumped waste water at the time interval with a high electricity tariff and maximum of the mathematical expectation of the volumes of pumped waste water at the time interval with a minimal tariff when all technological limitations are accomplished.