Education of the republic of uzbekistan tashkent state technical university named after islam karimov

Keywords: 
strategy, reservoir, management, level, volume, area, model, optimality. 
 
INTRODUCTION. 
The problem of the shortage of fresh water, as industrialists and 
agrarians, ecologists and biologists, not to mention hydrologists and specialists in water 
management, are more and more insistently stating, threatens to turn into the most acute of global 
problems. Water consumption in the world continues to grow rapidly, and most developing 
countries for population growth leads primarily to an increase in the volume of water resources 
consumed. Expansion of water consumption entails a reduction in economically available water 
resources due to violations of the natural mechanisms of their reproduction. This reveals the 
connection between the water crisis and the general socio-ecological crisis of modern civilization. 
The shortage of fresh water is becoming a factor holding back the economic growth of many 
countries, and, consequently, the cause of economic and social instability, which in the modern 

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world cannot be kept within the borders of one country. This determines the global nature of the 
problem of water scarcity, despite the fact that economically developed countries have managed to 
build the structure of the real sector of their economies so that even in those cases when they do not 
have significant water resources, dependence on them practically does not affect the rates of 
economic development. This experience is of great importance. It shows that the problem of a 
shortage of fresh water can, in principle, be solved. Its solution depends on whether modern 
civilization will be able to realize its responsibility to the future and reasonably dispose of the 
colossal opportunities that it already has today thanks to scientific and technological progress and 
the unprecedented development of productive forces in rich countries. But, no matter how 
significant scientific, technical and economic achievements are, they must be able to reasonably 
dispose of. This requires modern methods of water resources management. 
These methods should provide forecasts of changes in available resources, a rational 
determination of the need for them and their effective distribution among users, and all three noted 
aspects are different, but closely interrelated aspects of a single problem complex. This is the only 
way to ensure that the solution of each particular problem is consistent with the general goal - 
overcoming water deficit on the basis of the principles of sustainable development. These methods 
should provide forecasts of changes in available resources, a rational determination of the need for 
them and their effective distribution among users, and all three noted aspects are different, but 
closely interrelated aspects of a single problem complex. This is the only way to ensure that the 
solution of each particular task is consistent with the general goal - overcoming water deficit on the 
basis of the principles of sustainable development. These methods should provide forecasts of 
changes in available resources, a rational determination of the need for them and their effective 
distribution among users, and all three noted aspects are different, but closely interrelated aspects of 
a single problem complex. This is the only way to ensure that the solution of each particular task is 
consistent with the general goal - overcoming water deficit on the basis of the principles of 
sustainable development. 
As you know, the reservoir is divided into two zones - the zone of formation of water 
resources and the zone of their consumption. In the formation zone, there is a long-term regulation 
of the river flow, which is carried out by reservoirs to accumulate part of the river flow in high-
water years and the subsequent distribution of this resource in low-water years, and in the 
consumption zone there is a seasonal regulation reservoir, which is designed to meet the needs of 
various water users and water consumers with a given degree security. The input flow in the finite 
reservoir model is a Wiener process with positive drift and variance, where a reward is paid for each 
unit of water released from the reservoir.
 
Wiener process-this is mathematical model Brownian 
motion or random walk from continuous time. It is necessary to construct a control strategy that is 
optimal for the maximum average income per unit of time so that the optimal policies belong to the 
class of monotonic control strategies [3, 4, 5, 6].