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Johnson’s all pairs shortest path algorithm application in an edge weighted, directed graph is considered. Its formalization in terms of Glushkov’s modified systems of algorithmic algebras was made. The expediency of using GPGPU... more
Johnson’s all pairs shortest path algorithm application in an edge weighted, directed graph is considered. Its formalization in terms of Glushkov’s modified systems of algorithmic algebras was made. The expediency of using GPGPU technology to accelerate the algorithm is proved. A number of schemas of parallel algorithm optimized for using in GPGPU were obtained. Suggested approach to the implementation of the schemes obtained using computing architecture NVIDIA CUDA. An experimental study of improved performance by using GPU for computations was made.
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We in generalized Orlicz-Morrey spaces integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions considered. We are used the obtained estimates to study regularity of solution of the Dirichlet... more
We in generalized Orlicz-Morrey spaces integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions considered. We are used the obtained estimates to study regularity of solution of the Dirichlet problem for higher order elliptic equations with discontinuous coefficients. Thus using the method of Calderon-Zygmund estimates, we obtain the smoothnessof the solution. We obtain interior and boundary estimates for generalized solutions.
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In the paper we consider a redundant system consisting of n single-type elements one ofwhich is in the basic connection. There is also a switching device (SD) that realizes switching of nondefective redundant element in the basic... more
In the paper we consider a redundant system consisting of n single-type elements one ofwhich is in the basic connection. There is also a switching device (SD) that realizes switching of nondefective redundant element in the basic connection if the element fails. Time of nonfailure operation and renewal of the elements and SD has exponential distribution. Distribution of nonfailure operation time of the basic element is an arbitrary distribution function. Probability of nonfailure operation and mean time of nonfailure operation of a redundant system is determined.
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Abstrac t -In the present paper, under wider assumptions the integral limit theorems for the first passage time of the Markov chain for level are proved. As example of applications of obtained results one model from the theory of... more
Abstrac t -In the present paper, under wider assumptions the integral limit theorems for the first passage time of the Markov chain for level are proved. As example of applications of obtained results one model from the theory of branching processes is considered.
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This paper is devoted to the approximate evaluation of the reliability of collector drainage network on the derivation of excess drainage water from irrigated lands. According to the reliability theory, it was found out that in the first... more
This paper is devoted to the approximate evaluation of the reliability of collector drainage network on the derivation of excess drainage water from irrigated lands. According to the reliability theory, it was found out that in the first years of network operation its reliability was low. As indicated in the project, in order to get the distance between the drains to be m B 200 , in terms of remaining the other parameters unchanged, average supply intensity must be day m q / 00136 , 0 . In this case, it is impossible to reduce the level of ground waters to the crisis depth by the drainage network within the required period. In other words, the effectiveness of the existing network is low. This is for the reasons, such as the level of ground waters rises in planting areas and as the result, salination and marshes and etc. complications occur, production of goods decreases. Increase of the distance between regulatory drains raises the probability of humidity of the land. And the d...
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Azerbaijan that is situated in the east of the Caucasian region of the Alpine folding belt is rich in not only oil, gas, and mineral reserves, but in unique mineral water deposits as well. There is over 1000 mineral and thermal water... more
Azerbaijan that is situated in the east of the Caucasian region of the Alpine folding belt is rich in not only oil, gas, and mineral reserves, but in unique mineral water deposits as well. There is over 1000 mineral and thermal water deposits in Azerbaijan. The majority of these deposits have not been exploited yet. These waters can be used for therapeutic purposes as well as an alternative source of renewable energy. This article is dedicated to ways to solve this problem.There are a high production rate (40-50 lit/sec) aquifers with water temperatures close to 100C at depth of 3000m in Neogene and Paleogene rocks.Geochemical and hydrogeological properties of the mineral and thermal waters of Azerbaijan have separately been analyzed in the article for various regions and specific proposals on their efficient use have been put forward. Thermal waters can be used in heating civil and industrial premises (T=40-60C). Electrical energy can be produced from waters with temperatures abov...
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In this paper, the distribution function of continuous operation time of pump station and their parameters are investigated. The reliability of pump station is calculated in the range of hours and its graphcs is given. It was derived that... more
In this paper, the distribution function of continuous operation time of pump station and their parameters are investigated. The reliability of pump station is calculated in the range of hours and its graphcs is given. It was derived that a reliability of the pump station is very low. The optimal number and reliability of pump units in the station are calculated according to normative documents.
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Research Interests:
Mathematical models describing the estimation of optimal amounts of water depend on various parameters such as the quality of soil that depends on many random factors. Investigation methods and approaches of the random processes of those... more
Mathematical models describing the estimation of optimal amounts of water depend on various parameters such as the quality of soil that depends on many random factors. Investigation methods and approaches of the random processes of those parameters play an important role. In irrigation systems, drainage systems are widely used to achieve multiple objectives and it is necessary to pay attention to the choice of mathematical models that are adequately describing the processes of drainage and control of groundwater levels. An algorithm for the regulation and prevention of salinization of arable land and swampy areas in addition to an estimation of the amount of drainage water, have been proposed. Behaviour of the groundwater (temporal variation) is analysed applying the proposed model. Under the given conditions, it was derived that for an isotropic and homogeneous case, the level of the priming relative to axis x is approximately stable. A change in other parameters leads to the reduc...
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Research Interests:
In the paper a construction of a forecasting model by using the Bayes formula is considered. The constructed model allows to estimate real state of pump stations in due time and to take urgent measures on problem solving and therewith to... more
In the paper a construction of a forecasting model by using the Bayes formula is considered. The constructed model allows to estimate real state of pump stations in due time and to take urgent measures on problem solving and therewith to provide no-failure operation of the system during the demanded interval of time.