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Applications of the combinatorial configurations for optimization of technological systems

Riznyk V.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

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2016

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Vol. 5, No 2

27--32

EN

This paper involves techniques for improving the quality indices of engineering devices or systems with non-uniform structure (e.g. arrays of sonar antenna arrays) with respect to performance reliability, transmission speed, resolving ability, and error protection, using novel designs based on combinatorial configurations such as classic cyclic difference sets and novel vector combinatorial configurations. These design techniques makes it possible to configure systems with fewer elements than at present, while maintaining or improving on the other operating characteristics of the system. Several factors are responsible for distinguish of the objects depending an implicit function of symmetry and non-symmetry interaction subject to the real space dimensionality. Considering the significance of circular symmetric field, while an asymmetric subfields of the field, further a better understanding of the role of geometric structure in the behaviour of system objects is developed. This study, therefore, aims to use the appropriate algebraic results and techniques for improving such quality indices as combinatorial varieties, precision, and resolving ability, using remarkable properties of circular symmetry and non-symmetry mutual penetration as an interconnection cyclic relationships, and interconvertible dimensionality models of optimal distributed systems. Paper contains some examples for the optimization relating to the optimal placement of structural elements in spatially or temporally distributed technological systems, to which these techniques can be applied, including applications to coded design of signals for communications and radar, positioning of elements in an antenna array, and development vector data coding design.

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Nonredundant 2-D and 3-D sonar systems based on gold ring bundles

Riznyk V., Bandyrska O., Talan M.

Hydroacoustics

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2006

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Vol. 9

151-158

EN

The paper presents new method for configure systems of non-redundant two-dimensional and three-dimensional aperture antenna. The method is based on the Perfect Combinatorial Sequencing theory, namely the concept of Gold Ring Bundles (GRB)s for finding of the optimal placement of array antenna elements for acoustic or underwater acoustic systems. It is shown that the method provides many opportunities of the concept for novel design of nonuniform array with non-redundant aperture of array systems, including acoustics and hydroacoustics.

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Application of the perfect combinatorial configurations for configure of high performance sonar systems

Riznyk V.

Hydroacoustics

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2005

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Vol. 8

171-178

EN

Perfect combinatorial configurations can be used for finding optimal placement of structural elements in spatially distributed sonar or acoustic systems for configure high performance systems with non-uniform structure (e.g. arays of sonar antennas) with respect to positioning precision, and resolving ability, using novel design based on combinatorial configurations such as "Golomb rulers" and difference sets. These design techniques make it possible to configure sonar systems with fewer elements than at present, while maintaining or improving on resolving ability and the other significant operating characteristics of the system.

4

Application of the combinational sequencing theory for innovative design based on diagrammatics

Riznyk V.

Machine Graphics and Vision

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2003

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Vol. 12, No. 1

83-98

EN

The paper psoposes application of the combinational sequencing theory, namely the concept of Ideal Ring Bundles (IRBs), for design of high performance engineering devices or systems with non-uniform structure based on diagrammatics approach. An ordinary IRB is a ring-like sequence of positive integers which form perfect partitions of a finite interval [1,S] of integers. The sums of connected sub- sequences of an IRB enumerate the set of integers [1, S] exactly once. This property makes IRBs useful in applications which need to partition sets with the smallest possible number if intersections. Appication of the idea of "perfect" combinational configurations for innovative design provides a better understanding of the role of a geometric structure in behavior of natural and man- made objects. It also helps configure systems with fewer elements and bonds than at present, while maintaining or improving on reliability, precision, resolving ability, and functionality, using combinatoral techniques based on the remarkable properties and structural perfection of one- and multidimensional IRBs. The objectives of the IRB concept are: development of a scientific basis for technologically optimum distributed systems theory using diagrammatic, generalization of these methods and results to the improvement and optimization of a larger class of thechnological systems, and development of new directions in fundamental and applied researcg in systems engineering based on diagrammatics for designing a wholr range of high-performance devices, systems or technologies, including applications to coded design of signals for communications and radar, positioning of elemnets in an antenna array, and other areas to which the IRB concept can be applied.