73 research outputs found

    Structural, electronic, and magneto-optical properties of YVO3_3

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    Optical and magneto-optical properties of YVO3_3 single crystal were studied in FIR, visible, and UV regions. Two structural phase transitions at 75 K and 200 K were observed and established to be of the first and second order, respectively. The lattice has an orthorhombic PbnmPbnm symmetry both above 200 K as well as below 75 K, and is found to be dimerized monoclinic Pb11Pb11 in between. We identify YVO3_3 as a Mott-Hubbard insulator with the optical gap of 1.6 eV. The electronic excitations in the visible spectrum are determined by three dd-bands at 1.8, 2.4, and 3.3 eV, followed by the charge-transfer transitions at about 4 eV. The observed structure is in good agreement with LSDA+UU band structure calculations. By using ligand field considerations, we assigned these bands to the transitions to the 4A2g^4A_{2g}, 2Eg+2T1g^2E_{g} + ^2T_{1g}, and 2T2g^2T_{2g} states. The strong temperature dependence of these bands is in agreement with the formation of orbital order. Despite the small net magnetic moment of 0.01 μB\mu_B per vanadium, the Kerr effect of the order of 0.01∘0.01^\circ was observed for all three dd-bands in the magnetically ordered phase TNeˊel<116KT_{\text{N\'eel}}<116 K. A surprisingly strong enhancement of the Kerr effect was found below 75 K, reaching a maximum of 0.1∘0.1^\circ. The effect is ascribed to the non-vanishing net orbital magnetic moment.Comment: Submitted to Phys. Rev.

    Theory of Coexistence of Superconductivity and Ferroelectricity : A Dynamical Symmetry Model

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    We propose and investigate a model for the coexistence of Superconductivity (SC) and Ferroelectricity (FE) based on the dynamical symmetries su(2)su(2) for the pseudo-spin SC sector, h(4)h(4) for the displaced oscillator FE sector, and su(2)βŠ—h(4)su(2) \otimes h(4) for the composite system. We assume a minimal symmetry-allowed coupling, and simplify the hamiltonian using a double mean field approximation (DMFA). A variational coherent state (VCS) trial wave-function is used for the ground state: the energy, and the relevant order parameters for SC and FE are obtained. For positive sign of the SC-FE coupling coefficient, a non-zero value of either order parameter can suppress the other (FE polarization suppresses SC and vice versa). This gives some support to "Matthias' Conjecture" [1964], that SC and FE tend to be mutually exclusive. For such a Ferroelectric Superconductor we predict: a) the SC gap Ξ”\Delta (and TcT_c ) will increase with increasing applied pressure when pressure quenches FE as in many ferroelectrics, and b) the FE polarization will increase with increaesing magnetic field up to HcH_c . The last result is equivalent to the prediction of a new type of Magneto-Electric Effect in a coexistent SC-FE material. Some discussion will be given of the relation of these results to the cuprate superconductors.Comment: 46 page

    Научно-мСтодичСскиС основы ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎ-аналитичСского обСспСчСния Π΄Π΅ΡΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΎΡ€Π³Π°Π½ΠΎΠ² государствСнного ΠΈ Π²ΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ управлСния Π² Ρ…ΠΎΠ΄Π΅ мСТвСдомствСнного ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ взаимодСйствия

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    Π’ ΠΌΠΎΠ½ΠΎΠ³Ρ€Π°Ρ„ΠΈΠΈ ΠΎΠ±ΠΎΠ±Ρ‰Π΅Π½Ρ‹ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ исслСдований ΠΏΠΎ ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎ - аналитичСскому ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡Π΅Π½ΠΈΡŽ Π΄Π΅ΡΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΎΡ€Π³Π°Π½ΠΎΠ² государствСнного ΠΈ Π²ΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ управлСния ΠΏΡ€ΠΈ Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΈ Π·Π°Π΄Π°Ρ‡ обСспСчСния ΠΎΠ±ΠΎΡ€ΠΎΠ½Ρ‹ ΠΈ бСзопасности государства, ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½Π½Ρ‹Ρ… авторским ΠΊΠΎΠ»Π»Π΅ΠΊΡ‚ΠΈΠ²ΠΎΠΌ Π² ΠΏΠ΅Ρ€ΠΈΠΎΠ΄ с 2015 ΠΏΠΎ 2019 Π³Π³. ΠŸΡ€Π΅Π΄ΡΡ‚Π°Π²Π»Π΅Π½Π½Ρ‹Π΅ ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Ρ‹ ΠΏΡ€Π΅Π΄Π½Π°Π·Π½Π°Ρ‡Π΅Π½Ρ‹ для Π²ΠΎΠ΅Π½Π½Ρ‹Ρ… исслСдоватСлСй, ΡΠΏΠ΅Ρ†ΠΈΠ°Π»ΠΈΠ·ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ…ΡΡ Π² вопросах государствСнного ΠΈ Π²ΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ управлСния. Они ΠΌΠΎΠ³ΡƒΡ‚ Π±Ρ‹Ρ‚ΡŒ ΠΏΠΎΠ»Π΅Π·Π½Ρ‹ΠΌΠΈ прСподаватСлям, Π΄ΠΎΠΊΡ‚ΠΎΡ€Π°Π½Ρ‚Π°ΠΌ, Π°Π΄ΡŠΡŽΠ½ΠΊΡ‚Π°ΠΌ ΠΈ ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅Π»ΡΠΌ Π’ΠΎΠ΅Π½Π½ΠΎΠΉ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΠΈ Π“Π΅Π½Π΅Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ ΡˆΡ‚Π°Π±Π° Π’ΠΎΠΎΡ€ΡƒΠΆΠ΅Π½Π½Ρ‹Ρ… Π‘ΠΈΠ» Российской Π€Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈΡ… Π²ΠΎΠ΅Π½Π½Ρ‹Ρ… Π²ΡƒΠ·ΠΎΠ², Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Ρ‡ΠΈΠΊΠ°ΠΌ систСм ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎ-аналитичСского обСспСчСния

    ΠœΠžΠ”Π•Π›Π¬ ΠŸΠ›ΠΠΠ˜Π ΠžΠ’ΠΠΠ˜Π― ΠŸΠ ΠžΠ¦Π•Π‘Π‘ΠžΠ’ ΠŸΠ ΠžΠ˜Π—Π’ΠžΠ”Π‘Π’Π’Π Π ΠΠšΠ•Π’ΠΠž-ΠΠ Π’Π˜Π›Π›Π•Π Π˜Π™Π‘ΠšΠžΠ“Πž Π’ΠžΠžΠ Π£Π–Π•ΠΠ˜Π―

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    The article proposes an approach to the formalization of the planning of the production process of missile and artillery armament in the conditions of vertical integration of participants in the production process. The basis of the approach is the representation of participants in the production process in the form of a complex of interconnected enterprises. Each cycle of the production process is presented in the form of a network graph. The arcs of the graph correspond to the particular material technological logistical and financial processes in the overall production process. The peaks reflect events that are the completion of certain sets of these particular processes. With this representation, the planning procedure for each cycle of the production process consists in fixing the specified particular processes for the enterprises of the complex and establishing the times of their beginning and completion, that is, in the construction of the corresponding calendar plan. The problem of its construction is formalized in the form of a nonlinear mathematical programming problem.Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ ΠΊ Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ планирования процСсса производства Ρ€Π°ΠΊΠ΅Ρ‚Π½ΠΎ-артиллСрийского вооруТСния (РАВ) с ΡƒΡ‡Π΅Ρ‚ΠΎΠΌ Π²Π΅Ρ€Ρ‚ΠΈΠΊΠ°Π»ΡŒΠ½ΠΎΠΉ интСгрированности участников производствСнного процСсса. ΠžΡΠ½ΠΎΠ²Ρƒ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Π° составляСт прСдставлСниС участников производствСнного процСсса Π² Π²ΠΈΠ΄Π΅ комплСкса взаимосвязанных прСдприятий, Π° ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ Ρ†ΠΈΠΊΠ»Π° производствСнного процСсса - Π² Ρ„ΠΎΡ€ΠΌΠ΅ сСтСвого Π³Ρ€Π°Ρ„Π°, Π΄ΡƒΠ³ΠΈ ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠ³ΠΎ ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‚ частным ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½Ρ‹ΠΌ тСхнологичСским, логистичСским ΠΈ финансовым процСссам Π² ΠΎΠ±Ρ‰Π΅ΠΌ процСссС производства, Π° Π²Π΅Ρ€ΡˆΠΈΠ½Ρ‹ ΠΎΡ‚Ρ€Π°ΠΆΠ°ΡŽΡ‚ события, состоящиС Π² Π·Π°Π²Π΅Ρ€ΡˆΠ΅Π½ΠΈΠΈ Ρ‚Π΅Ρ… ΠΈΠ»ΠΈ ΠΈΠ½Ρ‹Ρ… совокупностСй этих частных процСссов. ΠŸΡ€ΠΈ Ρ‚Π°ΠΊΠΎΠΌ прСдставлСнии ΠΏΡ€ΠΎΡ†Π΅Π΄ΡƒΡ€Π° планирования ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ Ρ†ΠΈΠΊΠ»Π° производствСнного процСсса состоит Π² Π·Π°ΠΊΡ€Π΅ΠΏΠ»Π΅Π½ΠΈΠΈ ΡƒΠΊΠ°Π·Π°Π½Π½Ρ‹Ρ… частных процСссов Π·Π° прСдприятиями комплСкса ΠΈ установлСнии Π²Ρ€Π΅ΠΌΠ΅Π½ ΠΈΡ… Π½Π°Ρ‡Π°Π»Π° ΠΈ Π·Π°Π²Π΅Ρ€ΡˆΠ΅Π½ΠΈΡ, Ρ‚ΠΎ Π΅ΡΡ‚ΡŒ Π² построСнии ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰Π΅Π³ΠΎ ΠΊΠ°Π»Π΅Π½Π΄Π°Ρ€Π½ΠΎΠ³ΠΎ ΠΏΠ»Π°Π½Π°. Π—Π°Π΄Π°Ρ‡Π° Π΅Π³ΠΎ построСния Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π° Π² Π²ΠΈΠ΄Π΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Π·Π°Π΄Π°Ρ‡ΠΈ матСматичСского программирования

    The model and the planning method of volume and variety assessment of innovative products in an industrial enterprise

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    In the long term, the innovative development strategy efficiency is considered as the most crucial condition for assurance of economic system competitiveness in market conditions. It determines the problem relevance of such justification strategies with regard to specific systems features and conditions of their operation. The problem solution for industrial enterprises can be based on mathematical models of supporting the decision-making on the elements of the innovative manufacturing program. An optimization model and the planning method of innovative products volume and variety are suggested. The feature of the suggested model lies in the nonlinear nature of the objective function. It allows taking into consideration the law of diminishing marginal utility. The suggested method of optimization takes into account the system features and enables the effective implementation of manufacturing capabilities in modern conditions of production organization and sales in terms of market saturation. Β© Published under licence by IOP Publishing Ltd

    QUANTITATIVE EVALUATION OF THE DIRECTION OF THE STATE CUSTOMS POLICY

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    The article discusses the method of macroeconomic assessment of the state customs policy. The methodology is based on a comparison of weighted average tariffs of import customs duties on the structure of imports and on the structure of national production of the state in question. Their comparison allows us to quantify the level of customs and tariff protection of national production.Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ рассмотрСна ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠ° макроэкономичСской ΠΎΡ†Π΅Π½ΠΊΠΈ Ρ‚Π°ΠΌΠΎΠΆΠ΅Π½Π½ΠΎΠΉ ΠΏΠΎΠ»ΠΈΡ‚ΠΈΠΊΠΈ государства. Π’ основу ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠΈ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΎ сравнСниС ΡΡ€Π΅Π΄Π½Π΅Π²Π·Π²Π΅ΡˆΠ΅Π½Π½Ρ‹Ρ… Ρ‚Π°Ρ€ΠΈΡ„ΠΎΠ² Π²Π²ΠΎΠ·Π½Ρ‹Ρ… Ρ‚Π°ΠΌΠΎΠΆΠ΅Π½Π½Ρ‹Ρ… пошлин ΠΏΠΎ структурС ΠΈΠΌΠΏΠΎΡ€Ρ‚Π° ΠΈ ΠΏΠΎ структурС Π½Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ производства рассматриваСмого государства. Π˜Ρ… сравнСниС позволяСт количСствСнно ΠΎΡ†Π΅Π½ΠΈΡ‚ΡŒ ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ Ρ‚Π°ΠΌΠΎΠΆΠ΅Π½Π½ΠΎ-Ρ‚Π°Ρ€ΠΈΡ„Π½ΠΎΠΉ Π·Π°Ρ‰ΠΈΡ‚Ρ‹ Π½Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ производства

    ΠœΠ΅Ρ‚ΠΎΠ΄ΠΈΡ‡Π΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ ΠΊ ΠΎΡ†Π΅Π½ΠΈΠ²Π°Π½ΠΈΡŽ влияния распрСдСлСния рСсурсов Π½Π° качСство ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ процСсса

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    ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ мСтодичСский ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ ΠΊ ΠΎΡ†Π΅Π½ΠΈΠ²Π°Π½ΠΈΡŽ влияния распрСдСлСния рСсурсов Π½Π° качСство ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ процСсса, Ρ€Π΅Π°Π»ΠΈΠ·ΡƒΡŽΡ‰Π΅Π³ΠΎ компСтСнтностный ΠΏΠΎΠ΄Ρ…ΠΎΠ΄. Π’ основу ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Π° ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π° Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-вСроятностная формализация взаимосвязСй ΠΌΠ΅ΠΆΠ΄Ρƒ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΠ΅ΠΌΡ‹ΠΌΠΈ компСтСнциями ΠΈ Π½Π΅ΠΎΠ±Ρ…ΠΎΠ΄ΠΈΠΌΡ‹ΠΌΠΈ для ΠΈΡ… формирования ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΡŒΠ½Ρ‹ΠΌΠΈ ΠΈ Π²Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹ΠΌΠΈ рСсурсами

    МодСль ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄ ΠΊΠ°Π»Π΅Π½Π΄Π°Ρ€Π½ΠΎΠ³ΠΎ планирования логистичСских процСссов ΠΏΠ΅Ρ€Π΅Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°ΡŽΡ‰ΠΈΡ… прСдприятий Π°Π³Ρ€ΠΎΠΏΡ€ΠΎΠΌΡ‹ΡˆΠ»Π΅Π½Π½ΠΎΠ³ΠΎ комплСкса

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    A model and method for the formation of optimal calendar plans for the organization of logisticsΒ processes for the functioning of enterprises of the agro-industrial complex have been developed.Β The model is based on the presentation of the procedure for the formation of an optimal calendarΒ plan in the form of a discrete programming problem. The optimization method is based on theΒ procedure of branches and boundaries. The proposed model and method are the basis for creatingΒ specific methods for the formation of optimal calendar plans for the organization of logisticalΒ processes of the functioning of the agro industrial complex.Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Ρ‹ модСль ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄ формирования ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… ΠΊΠ°Π»Π΅Π½Π΄Π°Ρ€Π½Ρ‹Ρ… ΠΏΠ»Π°Π½ΠΎΠ² организации логистичСских процСссов функционирования ΠΏΠ΅Ρ€Π΅Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°ΡŽΡ‰ΠΈΡ… прСдприятий Π°Π³Ρ€ΠΎΠΏΡ€ΠΎΠΌΡ‹ΡˆΠ»Π΅Π½Π½ΠΎΠ³ΠΎ комплСкса (АПК). МодСль основана Π½Π° прСдставлСнии ΠΏΡ€ΠΎΡ†Π΅Π΄ΡƒΡ€Ρ‹ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΡΒ ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ ΠΊΠ°Π»Π΅Π½Π΄Π°Ρ€Π½ΠΎΠ³ΠΎ ΠΏΠ»Π°Π½Π° Π² Π²ΠΈΠ΄Π΅ Π·Π°Π΄Π°Ρ‡ΠΈ дискрСтного программирования. Π’ основу ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π° ΠΏΡ€ΠΎΡ†Π΅Π΄ΡƒΡ€Π° Π²Π΅Ρ‚Π²Π΅ΠΉ ΠΈ Π³Ρ€Π°Π½ΠΈΡ†. ΠŸΡ€Π΅Π΄Π»Π°Π³Π°Π΅ΠΌΡ‹Π΅ модСль ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄ ΡΠ²Π»ΡΡŽΡ‚ΡΡ Π±Π°Π·ΠΎΠΉ для создания ΠΊΠΎΠ½ΠΊΡ€Π΅Ρ‚Π½Ρ‹Ρ… ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊ формирования ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… ΠΊΠ°Π»Π΅Π½Π΄Π°Ρ€Π½Ρ‹Ρ… ΠΏΠ»Π°Π½ΠΎΠ² ΠΎΡ€Π³Π°Π½ΠΈΠ·Π°Ρ†ΠΈΠΈ логистичСских процСссов функционирования прСдприятий АПК

    The model and the planning method of volume and variety assessment of innovative products in an industrial enterprise

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    In the long term, the innovative development strategy efficiency is considered as the most crucial condition for assurance of economic system competitiveness in market conditions. It determines the problem relevance of such justification strategies with regard to specific systems features and conditions of their operation. The problem solution for industrial enterprises can be based on mathematical models of supporting the decision-making on the elements of the innovative manufacturing program. An optimization model and the planning method of innovative products volume and variety are suggested. The feature of the suggested model lies in the nonlinear nature of the objective function. It allows taking into consideration the law of diminishing marginal utility. The suggested method of optimization takes into account the system features and enables the effective implementation of manufacturing capabilities in modern conditions of production organization and sales in terms of market saturation. Β© Published under licence by IOP Publishing Ltd

    ΠœΠžΠ”Π•Π›Π¬ И ΠœΠ•Π’ΠžΠ” ΠžΠŸΠ’Π˜ΠœΠ˜Π—ΠΠ¦Π˜Π˜ Π’Π«Π§Π˜Π‘Π›Π˜Π’Π•Π›Π¬ΠΠ«Π₯ ΠŸΠ ΠžΠ¦Π•Π‘Π‘ΠžΠ’ Π’ Π’Π«Π§Π˜Π‘Π›Π˜Π’Π•Π›Π¬ΠΠ«Π₯ Π‘Π˜Π‘Π’Π•ΠœΠΠ₯ Π‘ ΠŸΠΠ ΠΠ›Π›Π•Π›Π¬ΠΠžΠ™ АРΠ₯Π˜Π’Π•ΠšΠ’Π£Π ΠžΠ™

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    The article proposes a model and method for optimizing computing processes in computing systems with a parallel architecture. The construction of the model consists in dividing computer programs for solving problems into relatively independent elements (blocks) and representing the information dependence of the blocks in the form of corresponding oriented graphs. The organization of the computational process in this case consists in the dynamic distribution of the resources of the computing system for implementing the operations of each of the blocks. As an indicator of the effectiveness of this process, the time taken to implement the operations of all blocks of the programs under consideration (the time to solve the corresponding tasks) was taken. The goal of optimization is to shorten the time as much as possible. To form an optimal resource allocation, a method based on the branch and bound procedure is proposed.ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½Ρ‹ модСль ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄ ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… процСссов Π² Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… систСмах с ΠΏΠ°Ρ€Π°Π»Π»Π΅Π»ΡŒΠ½ΠΎΠΉ Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€ΠΎΠΉ. ΠŸΠΎΡΡ‚Ρ€ΠΎΠ΅Π½ΠΈΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ состоит Π² Ρ€Π°Π·Π±ΠΈΠ΅Π½ΠΈΠΈ ΠΊΠΎΠΌΠΏΡŒΡŽΡ‚Π΅Ρ€Π½Ρ‹Ρ… ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌ для Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ‡ Π½Π° ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎ ΡΠ°ΠΌΠΎΡΡ‚ΠΎΡΡ‚Π΅Π»ΡŒΠ½Ρ‹Π΅ элСмСнты (Π±Π»ΠΎΠΊΠΈ) ΠΈ Π² прСдставлСнии ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠΉ зависимости Π±Π»ΠΎΠΊΠΎΠ² Π² Π²ΠΈΠ΄Π΅ ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΡ… ΠΎΡ€ΠΈΠ΅Π½Ρ‚ΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹Ρ… Π³Ρ€Π°Ρ„ΠΎΠ². ΠŸΡ€ΠΈ этом организация Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ процСсса Π·Π°ΠΊΠ»ΡŽΡ‡Π°Π΅Ρ‚ΡΡ Π² динамичСском распрСдСлСнии рСсурсов Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠΉ систСмы для Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΎΠΏΠ΅Ρ€Π°Ρ†ΠΈΠΉ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΠΈΠ· Π±Π»ΠΎΠΊΠΎΠ². Π’ качСствС показатСля эффСктивности Π΄Π°Π½Π½ΠΎΠ³ΠΎ процСсса принято врСмя Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΎΠΏΠ΅Ρ€Π°Ρ†ΠΈΠΉ всСх Π±Π»ΠΎΠΊΠΎΠ² рассматриваСмых ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌ (врСмя Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΡ… Π·Π°Π΄Π°Ρ‡). ЦСль ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΠΈ состоит Π² максимально Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΠΌ сокращСнии Π²Ρ€Π΅ΠΌΠ΅Π½ΠΈ. Для формирования ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ распрСдСлСния рСсурсов ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΌΠ΅Ρ‚ΠΎΠ΄, ΠΎΠΏΠΈΡ€Π°ΡŽΡ‰ΠΈΠΉΡΡ Π½Π° ΠΏΡ€ΠΎΡ†Π΅Π΄ΡƒΡ€Ρƒ Π²Π΅Ρ‚Π²Π΅ΠΉ ΠΈ Π³Ρ€Π°Π½ΠΈΡ†
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