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Abstract. The paper presents the results of the analysis of the current state, problems, and the directions of irrigation development in Ukraine. A comprehensive analysis of the technical condition and existing potential of reclamation infrastructure, including inter-farm engineering infrastructure of irrigation networks at the Lower Dniester Irrigation System (LDIS) was made. It was found that the equipment of the pumping stations of LDIS has long been depreciated and is in very poor technical condition, water losses during transportation are 32-35% of the primary water intake, engineering infrastructure has almost run out of its resource and technical condition and parameters do not meet the required level. The average specific power energy consumption for1 water pumping at LDIS per 1000 m3 is 351 kWh, and the share of energy consumption costs in the prime cost of supplied water for irrigation is about 60%. The operation of obsolete equipment is carried out under the conditions of a severe deficit of budget funding, there are almost no funds for current and major repairs of equipment and facilities. The prime cost of water transportation for irrigation per m3 was determined, and the cost of 1 m3 of water for water users was calculated. The sources of financial support for the operation of LDIS were investigated. The operation of LDIS in 2020 was financed by 66% of the state budget and by 34% from the revenues obtained from water users. It was specified that the system of service cost reimbursement does not cover the cost of water supply for irrigation. Based on the results of the technical and economic analysis and energy audit, the total investment needed for a modernization and reconstruction project for LDIS was calculated. The main results of the project implementation are presented, which will increase the volume of gross agricultural output by 1.6 - 1.8 billion UAH / year. Due to the introduction of a set of reconstruction measures for the reconstruction of NDIS, the specific energy consumption of water supply at the water intake point will be reduced from 1.03 kWh / m3 to 0.65 kWh / m3 or by 37%. The total energy savings will be from 0.03 to 0.21-0.25 kWh / m3. Keywords: irrigation, audit, technical condition, energy efficiency, modernization, reconstruction, investments

Purpose of research is to develop a method for arraging routes for elimination of spontaneously formed unauthorized dumps on the territory of a municipal formation of a constituent entity of the Russian Federation.Methods. The development of a method for arraging routes for elimination of unauthorized dumps is based on the theory of graphs, which includes algorithms for finding the shortest path: Dijkstra's algorithm, Floyd-Warshall algorithm, Ford-Bellman algorithm, Hamiltonian cycle, etc. Having analyzed the peculiarities of using the listed algorithms, the authors have developed a method for arranging a route for the elimination of unauthorized dumps based on the Hamiltonian cycle.Results. The task of arranging a route is reduced to choosing those unauthorized dumps from the detected ones, which will be accepted as the vertices of the graph, between which it is necessary to find the shortest path. The authors' approach to the formation of a set of vertices of the graph is as follows. At the first stage, the initial and boundary conditions are set. The parking of special equipment (garbage trucks) is selected as the zero vertex of the graph, and the SMW polygon is selected as the last (nth) vertex. In this case, it should be taken in the account that after transporting waste from dumps to the place of their burial (landfill), the garbage truck must return back to the parking place. The limits taken into consideration are the maximum distance that the garbage truck can travel without refueling and the volume of the garbage truck body. Then, the closest to the starting point unauthorized dump which represents the greatest danger to the environment is chosen as the first vertex of the graph. An unauthorized dump closest to the first peak is chosen as the second, etc.. The search for vertices continues until the inequalities that take into account the given constraints are satisfied. Next, a graph, an adjacency matrix, and a route are formed. With this approach, for arranging a route, it is optimal to use the Hamiltonian cycle, which ensures finding the minimum path between all the vertices of the graph and returns to the starting point.Conclusion. Application of the authors' method for arranging routes for elimination of unauthorized dumps will make it possible to promptly clean up unauthorized dumps found in the city, which will significantly reduce the environmental load.

Relevance of research. The research is aimed at substantiating the effectiveness of the principle of self-regulation on closed irrigation systems (CIS) with sprinkling machine (SM) with the use of daily regulation pools (DRP) and "pull" pressure regulators when modernizing them. Aim and objectives of research. The aim of the research is to reduce the energy intensity of water supply for irrigation by increasing pump load rates (PLR) of pumping stations (PS) and expanding the area of ​​irrigation when modernizing and reconstructing closed irrigation networks (CIS). The construction of self-regulating CIS reduces accidental disturbances in the form of discrete changes in volumetric water flow rates generated by pumping units (PU) of PS, which minimizes unproductive discharges of water from distribution canals when performing inter-farm water distribution. Research methods: experimental, mathematical modeling and mathematical statistics. Research results. To substantiate the effectiveness of self-regulation, the results of experimental studies conducted in the operating area of ​​the distribution canal R-1 with machine water supply of Kakhovska Irrigation System, aimed at determining the hydraulic characteristics of existing CIS, energy characteristics of PU of PS. Statistical characteristics of water supply and power consumption processes on CIS equipped with SM from the PS13-R-1, which is equipped with four PU of  250QVD570-50 brand with diameters of rotor wheels Drw = 540 mm and drive motors of 1N435Z-4 brand with a capacity of 400 kW. PS operates on the CIS equipped with SM "Frigate" and drip irrigation system and serves two water users on a total area of ​​1036.0 hectares. To determine the statistical characteristics of the processes of water supply and power consumption, the graphs of pumped water volumes and the graphs of electricity obtained using electricity meters "ORION-01", as well as the graphs of planned water supply, built on daily applications for water use, are used. The logical-mathematical model of operative control of water supply on self-regulating CIS with application of DRP and “pull” pressure regulators is given. The substantiation of the efficiency of water supply management on the modernized CIS from PS13-R-1 was carried out using a mathematical model. Key words: self-regulation, modernization, closed irrigation system, daily regulation pool, statistical characteristics, water supply process, pump unit.   Conclusions: The efficiency of the construction of self-regulating CISs with SMs with the use of daily regulation pools (DRP) and "pull" pressure regulators has been proved. Modernization and reconstruction of CISs on the principles of self-regulation provides: expansion of irrigation areas, reduction of energy consumption in water supply, coordination of water distribution management on open inter-farm and closed in-farm irrigation network, which enables to minimize non-technological water discharges from distribution channels and to prevent wasteful consumption of electricity for its pumping by the main water intake pumping stations.

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