Computational approach to solving the problem of optimizing the supply of raw materials and components at the enterprise

The results of modelling the problem of supply management of an enterprise using discrete optimization tools are presented. The formulation of the optimization problem of supply management and the found method for its solution are presented. Since there may be cases when the number of variables in the problem is large enough, an algorithm was developed that uses the decomposition of the problem as a solution. A numerical example of the application of the decompositional algorithm for optimizing supplies and comparison of the results using the direct algorithm are given.

Identification and stability of small-sized dislocations using a direct algorithm

<p style='text-indent:20px;'>This paper considers the problem of identifying dislocation lines of curvilinear form in three-dimensional materials from boundary measurements, when the areas surrounded by the dislocation lines are assumed to be small-sized. The objective of this inverse problem is to reconstruct the number, the initial position and certain characteristics of these dislocations and establish, using certain test functions, a Hölder stability of the centers. This paper can be considered as a generalization of [<xref ref-type="bibr" rid="b9">9</xref>], where instead of reconstructing point-wise dislocations, as done in the latter paper, our aim is to recover the parameters of line dislocations by employing a direct algebraic algorithm.</p>

Electromagnetic field transformation from a surface closed around the antenna to its aperture

The article proposes a direct algorithm for reconstruction the electromagnetic field at the antenna aperture, which can be used to solve problems of diagnostics and spatial filtering. The algorithm is based on the solution of Maxwell's equations in the form of advanced potentials of the electromagnetic field. It is shown that following from it advanced electromagnetic waves are equivalent to retarded electromagnetic waves when the parameters of the medium are stationary and linear. The direct algorithm is formulated as the multiplication of the transformation operator matrix by the known vector of the electromagnetic field on a closed surface. In this case, the transformation outward (far field) or inward (aperture) of the surface is described by the same operator and differs only in the signs of the input quantities. Unlike the known ones, the direct algorithm does not require scanning the electromagnetic field on canonical surfaces or solving a large system of integral equations. This makes it optimal for use in new near-field measurement systems based on industrial robots, unmanned aerial vehicles, etc. Verification of the developed algorithm using experimental data has shown the possibility of reconstruction the normalized distribution of the electric field strength at the antenna aperture with an error less than 2 dB.

Development of a Neural Network for the Synthesis of Freeform Optical Elements with a Flat Wavefront

In this work, a direct algorithm for modeling optical systems using freeform surfaces is considered, which allows you to form a given illumination distribution of illuminating image systems of diffraction quality. Using the proposed ray tracing algorithm based on the laws of geometric optics, a database of optical systems for further training of the neural network is formed. To increase efficiency, the algorithm is tested on a sample of 10,000 pairs of various optical systems. Using a neural network, the inverse problem of calculating optical systems is solved - according to the given parameters of the object and image, the neural network generates a result in the form of a design of freeform optical elements. Further training of the neural network will speed up the design of new optical systems, and the potential for its learning opens up new opportunities for the development of better and more efficient optical systems.

Updating the assessment methodology of the acoustic load of flight crew members in the cabins of civil aviation aircraft

The article discusses the issues of adjustment, developed in 2007 and supplemented in 2009, of the methodology for evaluating the equivalent level of cabin noise of civil aviation aircraft in Russia. The relevance of the problem is due to high levels of professional hearing loss among the aircrew members of the air force, which is directly related to the lack of unified and competent approaches to assessing the acoustic load on the hearing organ of the aircrew members. The updated methodology contains full-fledged data on noise levels in modern domestic and foreign airliners, data on certification of acoustic efficiency of aircraft accessories, a direct algorithm and formulas for calculating the noise load for the selected periods of flight operation.

A Direct Model for Triangular Neutrosophic Linear Programming

This paper aims to propose a new direct algorithm to solve the neutrosophic linear programming where the variables and right-hand side represented with triangular neutrosophic numbers. The effectiveness of the proposed procedure is illustrated through numerical experiments. The extracted results show that the new algorithm is straightforward and could be useful to guide the modeling and design of a wide range of neutrosophic optimization.