Researches and applications of the combinatorial configurations for innovative devices and process engineering




project, combinatorial configuration, Ideal Ring Bundle, optimization, model, scientific school


This paper is devoted to the memory of Solomon Wolf Golomb (1932–2016) — a famous American mathematician, engineer, and professor of electrical engineering. He was interested in developing techniques for improving the quality indices of engineering devices and systems with respect to performance reliability, transmission speed, positioning precision, and resolving ability based on novel combinatorial configurations. In 1996 S. Golomb have supported the project “Researches and Applications of the Combinatorial Configurations for Innovative Devices and Process Engineering” as a scientific collaboration with the Former Soviet Union (FSU) research team from Lviv Polytechnic State University (Ukraine) under the Cooperative Grant Program by CRDF (U.S.). The underlying project to be edited by S. Golomb is presented, and short information on the development of the researches and applications of optimized systems with ring structure given.

Author Biography

Volodymyr Riznyk, Institute of Computer Science and Information Technologies of Lviv Polytechnic National University, Lviv

Doctor of Technical Sciences, a professor at the Department of Automated Control Systems of the Institute of Computer Science and Information Technologies of Lviv Polytechnic National University, Lviv, Ukraine.


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V. Riznyk, Synthesis of Optimal Combinatorial Systems. Lviv: High School, 1989, 168 p.

V.V. Riznyk, “Information Technologies under the Manifold Coordinate Systems,” Perspective trajectory of scientific research in technical sciences: Collective monograph. Riga, Latvia: “Baltija Publishing”, pp. 521–538, 2021. Available:

V. Riznyk, “Multi-modular Optimum Coding Systems Based on Remarkable Geometric Properties of Space,” Advances in Intelligent Systems and Computing, no. 512, pp. 129–148, 2017. doi: 10.1007/978—319-45991-2_9.

S. Golomb, P. Osmera, and V. Riznyk, “Combinatorial Sequencing Theory for Optimisation of Signal Data Vectors Converting and Signal Processing,” Proc. All-European Workshop on Design Methodologies for Signal Processing, Zakopane, Poland, 1996, pp. 43–44.

V.V. Riznyk, “Ideal Ring Relations and Possibilities of Their Practical Application,” Avtomatika, no. 3, pp. 87–90, 1981.

Certificate of authorship USSR № 527725 (1976), G 08 C9/06.






Methods of optimization, optimum control and theory of games