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ISSN 2079-3316 Bilingual online scientific Online scientific journal of the Ailamazyan Program System Institute of the Ailamazyan PSI of PSI of Russian Academy of Science of RAS 12+ 
Volume 16 (2025) . Issue 3 (66) . Paper No. 3 (450)

Hardware and software for distributed and supercomputer systems

Research Article

Performance and fault tolerance of the ideal system network via additional parallelity

Viktor Sergeevich PodlazovCorrespondent author

V. A. Trapeznikov Institute of Control Sciences of RAS, Moscow, Russia
Viktor Sergeevich Podlazov — Correspondent author podlazov@gmail.com, podlazov@ipu.ru

Abstract. The article considers methods for increasing the performance of system networks by increasing their parallelism in two ways: using their copies and parallel channels in each copy. The article considers methods for constructing non-blocking system networks with direct channels of arbitrary size. The article considers methods for constructing non-blocking networks with a given number of parallel channels as networks with the structure of quasi-complete graphs. The article considers a method for constructing system networks of any size with a given number of parallel channels by using the corresponding number of their copies. (In Russian).

Keywords: complete switch, direct channels, multiplexers and demultiplexers, multi-stage switch, conflictfree routing, non-blocking switch, static self-routing, quasi-complete graph with a given number of parallel channels, isomorphism of a quasi-complete graph and a symmetric block-design

MSC-20202020 Mathematics Subject Classification 65Y05; 68Q10MSC-2020 65-XX: Numerical analysis
MSC-2020 65Yxx: Computer aspects of numerical algorithms
MSC-2020 65Y05: Parallel numerical computation
MSC-2020 68-XX: Computer science
MSC-2020 68Qxx: Theory of computing
MSC-2020 68Q10: Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)

For citation: Viktor S. Podlazov. Performance and fault tolerance of the ideal system network via additional parallelity. Program Systems: Theory and Applications, 2025, 16:3, pp. 41–68. (In Russ.). https://psta.psiras.ru/2025/3_41-68.

Full text of article (PDF): https://psta.psiras.ru/read/psta2025_3_41-68.pdf.

The article was submitted 24.03.2025; approved after reviewing 17.04.2025; accepted for publication 17.04.2025; published online 04.08.2025.

© Podlazov V. S.
2025
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