Designing highly reliable systems using random devices

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Authors

Andrea-Claudia Beiu¹ , Valeriu Beiu²

1. Eindhoven University of Technology
2. “Aurel Vlaicu” University of Arad

Conference / event

IBM IEEE CAS/EDS – AI Compute Symposium, October 2022 (Yorktown Heights, United States)

Poster summary

Neurons are prime examples of efficiency, achieving outstanding communication reliabilities, although relying on absolutely random ion channels. Aiming to bridge from biology to circuits, we will show here how statistical results about consecutive systems combined with a Binet-like formula or Fibonacci numbers of higher orders lead to quite trivial reliability calculations for neuron-inspired optimal design schemes for reliable communication.

Keywords

Consecutive networks, Two-terminal networks, Network reliability

Research areas

Computer and Information Science , Mathematics, Biological Sciences

References

1. V. Beiu, S.-H. Hoara & R.-M Beiu, “Bridging reliability to efficiency,” in Proc. ICCCC, Băile Felix, Romania, May 2022, pp. 387–400.
2. J. M. Kontoleon, “Reliability determination of a r-succesive-out-of-n:F system,” IEEE Trans. Rel. R-29(5):437, 1980.
3. D. T. Chiang & S.-C. Niu, “Reliability of consecutive-k-out-of-n:F system,” IEEE Trans. Rel., R-30(1):87–89, 1981.
4. A. de Moivre, The Doctrine of Chances (2nd ed.), H. Woodfall: London, UK, 1738. https://catalog.lindahall.org/discovery/delivery/01LINDAHALL_INST:LHL/1287366660005961
5. V. Beiu & L. Dăuş, “Deciphering the reliability scheme of the neurons,” in Proc. BICT, Boston, MA, Dec. 2014, pp. 182–187.
6. K. Xu et al., “Actin, spectrin and associated proteins form a periodic cytoskeletal structure in axons,” Science 339(6118):452–456, 2013.
7. V. Beiu & L. Dăuş, “Reliability bounds for two dimensional consecutive systems,” Nano Comm. Nets., 6(3):145–152, 2015.
8. G.P.B. Dresden & Z. Du, “A simplified Binet formula for k-generalized Fibonacci numbers,”’ J. Int. Seq., 17(4):14.4.7, 2014.

Funding

1. Romanian Ministry of Education and Research, CNCS-UEFISCDI (No. PN-III-P4-ID-PCE-2020-2495)

Supplemental files

1. Program of the Poster Session   Download
2. Poster in the "IEEE Scientific Poster Template"   Download

Additional information

Competing interests

No competing interests were disclosed.

Data availability statement

The datasets generated during and / or analyzed during the current study are available from the corresponding author on reasonable request.

Creative Commons license

Copyright © 2023 Beiu et al. This is an open access work distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.