Optimal stochastic control of the modes of operation of the sewage pumping station

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.