Система имитационного моделирования операций, геометрических характеристик и методов импульсной оптической томографии микрообъектов ядерного топлива
The system is designed to create new methods of dynamic spatial reconstruction of the size and shape of microobjects on the base of their pulsed discrete projection images. These methods provide high-performance monitoring and sorting of microobjects in real time.
The volume is dedicated to Boris Mirkin on the occasion of his 70th birthday. In addition to his startling PhD results in abstract automata theory, Mirkin’s ground breaking contributions in various fields of decision making and data analysis have marked the fourth quarter of the 20th century and beyond. Mirkin has done pioneering work in group choice, clustering, data mining and knowledge discovery aimed at finding and describing non-trivial or hidden structures—first of all, clusters, orderings, and hierarchies—in multivariate and/or network data.
This volume contains a collection of papers reflecting recent developments rooted in Mirkin's fundamental contribution to the state-of-the-art in group choice, ordering, clustering, data mining, and knowledge discovery. Researchers, students, and software engineers will benefit from new knowledge discovery techniques and application directions.
We consider a problem of the astronaut training scheduling. Each astronaut has his own set of tasks which should be performed with respect to resource and time constraints. The problem is to determine start moments for all considered tasks. For this issue a mathematical model based on integer linear programming is proposed. Computational results of the implemented model and experiments on real data are presented.
Financial Decision Making Using Computational Intelligence covers all the recent developments in complex financial decision making through computational intelligence approaches. Computational intelligence has evolved rapidly in recent years and it is now one of the most active fields in operations research and computer science. The increasing complexity of financial problems and the enormous volume of financial data often make it difficult to apply traditional modeling and algorithmic procedures. In this context, the field of computational intelligence provides a wide range of useful techniques, including new modeling tools for decision making under risk and uncertainty, data mining techniques for analyzing complex data bases, and powerful algorithms for complex optimization problems.
This article applied the methodology proposed for the study of mechanical and thermal processes occurring in the receiver - computer units (RCU) for unmanned aerial vehicles (UAV). This method provides for a mechanical and thermal simulation in two stages by means of subsystems ASONIKA - T, ASONIKA - M - 3D (for the study unit with the construction of thermal and mechanical macro models) and ASONIKA - TM (for the study of each printing unit (PU) with automatic building course - difference thermal and mechanical models). Initial data are taken for real RCU. According to a study carried out to optimize the design to the improvement of its performance reliability.
Single track segments are common in various railway networks, in particular in various supply chains. For such a segment, connecting two stations, the trains form two groups, depending on what station is the initial station for the journey between these two stations. Within a group the trains differ by their cost functions. It is assumed that the single track is sufficiently long so several trains can travel in the same direction simultaneously. The paper presents polynomial-time algorithms for different versions of this two-station train scheduling problem with a single railway track. The considered models differ from each other by their objective functions.
The system of a pulse exposition of the microobjects, intended for the high-speed contactless dynamic differential managing director of control of geometrical characteristics of microobjects is considered.
In the paper, a fast laser method of the geometrical optoelectronic differential control of three-dimensional micro objects (MO) flow, which is based on the statistical dynamic few-views reconstruction of the sizes and shape of each MO with the usage of the basic characteristics of one triad of their impulse discrete two-dimensional projective images is under consideration. The squares of three mutually orthogonal two-dimensional projective images of MO and linear dimensions of its three one-dimensional projective images onto mutually orthogonal axes are chosen as the main basic characteristics.
Impulse images of moving (flying) MO are formed by their flaring in the parallel rays from impulse laser sources of optical radiation and their simultaneous registration with the usage an optoelectronic position-sensitive video detector with memory, which works in the mode of separate image recording and reading.
The spatial geometrical characteristics of dimensions for each MO are described as linear dimensions (overall dimension) and the average projected diameter (D) of a three-dimensional image of the reference ellipsoid that approximates each MO. The shape factor (K), which is used when describing the shape of MO, is specified by the ratio of the maximum and minimum overall dimensions (axis) of the approximating ellipsoid.
The speed performance of the method of control under consideration is not less than 100 MO per second. Along with this the relative error of MO diameter control does not exceed 0,25 per cent (with the accuracy PD = 0,7 and K = 1,3 relative units), and the relative error of control of the MO shape factor is in the scope from 2,3 % (PK = 0,7 and K = 1,3 relative units) till 0,6% (with PK = 0,96 and K = 1,05 relative units).
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.
Let G be a semisimple algebraic group whose decomposition into the product of simple components does not contain simple groups of type A, and P⊆G be a parabolic subgroup. Extending the results of Popov , we enumerate all triples (G, P, n) such that (a) there exists an open G-orbit on the multiple flag variety G/P × G/P × . . . × G/P (n factors), (b) the number of G-orbits on the multiple flag variety is finite.
I give the explicit formula for the (set-theoretical) system of Resultants of m+1 homogeneous polynomials in n+1 variables