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1
Content available Potential method in the coupled linear quasi-static theory of thermoelasticity for double porosity materials
Mikelashvili M.
Archives of Mechanics
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2023
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Vol. 75, nr 5
559--590
EN
This paper concerns the coupled linear quasi-static theory of thermoelasticity for materials with double porosity under local thermal equilibrium. The system of equations of this theory is based on the constitutive equations, Darcy’s law of the flow of a fluid through a porous medium, Fourier’s law of heat conduction, the equations of equilibrium, fluid mass conservation and heat transfer. By virtue of Green’s identity the uniqueness theorems for classical solutions of the internal and external quasi-static boundary value problems (BVPs) are proved. The fundamental solution of the system of steady vibration equations in the considered theory is constructed and its basic properties are established. Then, the surface and volume potentials are presented and their basic properties are given. Finally, on the basis of these results the existence theorems for classical solutions of the above mentioned BVPs are proved by means of the potential method (boundary integral equation method) and the theory of singular integral equations.
2
Content available Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials
Svanadze M. M.
Archives of Mechanics
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2021
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Vol. 73, nr 4
365--390
EN
In the present paper the coupled linear theory of double-porosity viscoelastic materials is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated. Indeed, in the beginning, the systems of equations of motion and steady vibrations are presented. Then, Green’s identities are established and the uniqueness theorems for classical solutions of the BVPs of steady vibrations are proved. The fundamental solution of the system of steady vibration equations is constructed and the basic properties of the potentials (surface and volume) are given. Finally, the existence theorems for classical solutions of the above mentioned BVPs are proved by using the potential method (the boundary integral equations method) and the theory of singular integral equations.
3
Content available Solution of one initial-boundary Wentzel problem for a parabolic equation with discontinuous coefficients by the boundary integral equation method
Kopytko B., Tsapovska Z.
Journal of Applied Mathematics and Computational Mechanics
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2017
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Vol. 16, nr 1
51--62
EN
In this article we consider the question of existence in the Holder class of the solution of the initial-boundary problem for a linear parabolic second-degree equation with discontinuous coefficients in noncylindrical domain. This domain is bounded of the smooth elementary surfaces of the Holder class H 2+λ, (2+λ )/2. The boundary conditions and the conjugation condition of the Wentzel type are given to external and internal boundaries of a domain respectively. We use the potential method to solve this problem.
4
Optymalizacja kosztów transportu w sferze logistyki zaopatrzenia
Szkutnik J., Ziółkowski J.
Logistyka
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2015
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nr 4
6015--6024, CD 2
PL
W artykule opisano przykład rozwiązania problemu transportowego różnymi metodami. W oparciu o dane liczbowe przedstawiono sposób postępowania prowadzący do uzyskania rozwiązania i optymalizacji kosztów transportu w sferze logistyki zaopatrzenia. Cel pracy, jakim było zaprezentowanie efektywności metod: kąta północno – zachodniego, najmniejszego elementu oraz VAM z ekonomicznego punku widzenia został osiągnięty.
EN
Examples of soluting the transportation problems by using several methods were presented in the article. In accordance to collected datas, some algorithms enabling the user to reach the solutions were described. These were the solutions that performed costs connected with transport of inbound logistics sphere. The aim of this article was to present effectiveness of such methods as: north – west angle, the least element and VAM, solutions made by all of them were examined and finally the aim was accomplished.
5
Content available Modelowanie obsługi zadań w serwerach z oscylacjami
Oniszczuk W., Podobińska M.
Zeszyty Naukowe Politechniki Białostockiej. Informatyka
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2008
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Z. 3
83-95
PL
Idea przedstawianego systemu kolejek z oscylacjami jest oparta na dwóch progowych wartościach. Obsługa procesu w tym systemie jest zorganizowana, w przybliżeniu, w ten sposób, że długość kolejki utrzymuje się pomiędzy tymi wartościami. System kolejki z oscylacjami pozwala lepiej wykorzystywać dostępne zasoby i jest stosowany w wielu urządzeniach, które korzystają z obsługi pojedynczej kolejki. Jest to również uogólnianie niektórych procedur zaproponowanych dla sieci ATM (ang. Asynchronous Transfer Mode). W tej pracy rozważać będziemy systemy kolejkowe z oscylacjami w wersji ze skończonym buforem. Charakterystyki stanów systemów z procesem Poissona na wejściu (M/G-G/1/N) otrzymuje sie metodą potencjałów. To podejście daje przejrzyste i łatwe do implementacji formuły matematyczne.
EN
In this paper a finite buffer version of the oscillating queuing system is studied. The idea of the lately introduced oscillating queuing system is based on two threshold values. The service process in this system is planned in such a way that the queue length is kept between these values. The oscillating queuing system has the advantage of making improved use of the available resources and is applicable in many devices which use a single server queuing scheme. It is also a simplification of some cell disposal procedures projected for ATM networks.
6
Content available Effectiveness of active forgetting in machine learning applied to financial problems
Nakayama H., Yoshii K.
Journal of Telecommunications and Information Technology
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2002
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nr 3
24-29
EN
One of main features in financial investment problems is that the situation changes very often over time. Under this circumstance, in particular, it has been observed that additional learning plays an effective role. However, since the rule for classification becomes more and more complex with only additional learning, some appropriate forgetting is also necessary. It seemms natural that many data are forgotten as the time elapses. On the other hand, it is expected more effective to forget unnecessary data actively. In this paper, several methods for active forgetting are suggested. The effectiveness of active forgetting is shown by examples in stock portfolio problems.
7
Content available remote On interface defects in periodically layered elastic composites
Kaczyński A., Matysiak S. J.
Zeszyty Naukowe Politechniki Białostockiej. Mechanika
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2001
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Z. 24
205--212
EN
This paper presents a potential function approach to the solutions of some three-dimensional interface crack (or rigid inclusion) problems in a two-layered periodic space. The study is performed within the framework of the homogenized model with microlocal parameters.
PL
Praca przedstawia metodę potencjałów zastosowaną do rozwiązań pewnych trójwymiarowych zagadnień dotyczących szczelin lub sztywnych inkluzji leżących na granicy warstw w periodycznej dwuwarstwowej przestrzeni. Analizę przeprowadzono w ramach modelu zhomogenizowanego z parametrami mikrolokalnymi.
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