Radioelectronics & Informatics

6-9

Authors: A.V. Pankratov

The problem of packing a set of nonequal ellipses, allowing continuous rotation and translation in a minimum size rectangular container is considered. To develop efficient optimization algorithms based on the use of methods of local and global optimization, adequate mathematical models based on analytical description of the relationship of the ellipses to be built. For describing nonoverlapping and containment constraints, new radical-free phi-functions are derived for ellipses approximated by circle arcs.

16-18

Authors: V.S. Lukhanin

In this paper the existence, uniqueness and possibility of constructing of two-sided approximations to the positive solution of the elliptic boundary problem with exponential nonlinearity are considered.Conditions that parameters, which are included into the nonlinear part, must satisfy are obtained. The conditions guarantee that two-sided approximations converge to the positive solution of the problem. The computational experiment is performed in disk, the results of the experiment are presented as plots of approximate solution surface and level lines and also as a table.

25-29

Authors: V. I. Hahanov, E. I. Litvinova, S.A. Zaychenko, B.M. Gureev, M.M. Shlyahtun

A new model for analyzing big data, based on the use of cloud services, cyber physical systems, parallel virtual multiprocessors with a minimal set of vector-logical operations for accurate information retrieval by using the proposed Boolean metric and vector-logical quality criteria is shown; it allows gradual classifying and ordering data based on the competency structuring big data in the frame of the planet cyber-ecosystem.

45-48

Authors: A.R. Podgornyj, M.V. Sidorov, I.G. Yalovega

The problem of calculating the process of thermal conductivity on the segment in the presence of phase transitions (one-dimensional Stefan problem) was considered. For its numerical analysis the approximate analytical method based on the Galerkin method was suggested. The calculations for the model problem were conducted.

57-62

Authors: Hrabovcska N.R., Rusyn B.P., Ivanyuk V.G., Kapshiy O.V.

The article considers the problem of error estimation for three-dimensional surface reconstruction with two-dimensional images. For recording images it offers to use three directions of illumination. The accuracy of the determination of directions of illumination initially depends on the accuracy of the reconstruction. The estimation error of the reconstruction of the derivatives of the surface depending on two directions of illumination. In particular, based on the test image of the crack was calculated estimate of the error of reconstruction of the derivatives of the surface cracks. The analysis of this dependences presented recommendations for establishing operating limits of the angular deviations of the directions of illumination and formation ranges of the reconstruction of derivatives.