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EN
The paper presents a stochastic model of a quasi-stationary non-isothermal mode of transport and distribution of natural gas in gas transportation systems with multilinear linear sections of pipeline and a lot of craft compressor stations. A method for calculating the statistical properties of the dependent variables of the model from the statistical properties of the independent variables.
EN
A new class of the problems of optimal stochastic control of hybrid dynamical systems different from well-known ones by the introduction of additional extreme and probabilistic constraints on the phase variables is studied in the present work. The mathematical formulation and approximate method of solution of the examined class of the problems are presented in this work. The effectiveness of the use of this class of the problems is illustrated on the example of one of the largest water main of Ukraine.
EN
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.
EN
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.
EN
One of the effective approaches to solve the problem of optimal control of the collection of municipal solid waste in cities and towns on the basis of geoinformational analytic system is studied in the present work. Its structure is shown in the form of three interconnected subsystems: geoinformational system, analytic system, subsystem of monitoring of the refuse collection vehicles. The main attention is focused on the analytic subsystem. The mathematical formulation of the problem of effective planning of the traffic routes of the refuse collection vehicles and efficient algorithm to solve it are set here. The control of implementation of the planned routes is carried out by the subsystem of monitoring of the refuse collection vehicles using GPS-navigation.
EN
One of the approaches to solve the problem of resource and energy saving in centralized water-supply systems by reducing the total excess pressure in water-supply nodes is examined in the present work. The implementation of this approach is provided due to re-engineering of water-supplies by their zoning and optimal flux-distribution in the water-supplies. Mathematical formulations of the problems to be examined and efficient algorithms of their solving are presented.
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