Abstract
The general approach to constructing structural models of non-stable multi-level networks is proposed. This approach is based on hypernets—relatively new mathematical object, which is successively used for modeling different multi-level networks in the Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Russia, for last 30 years. Hypernets allow standard description of neighboring levels interconnection in a mathematically correct way. Using this mathematical object allows easy modifications of data with model changing and/or development and efficiently organize data search for different computational or optimization algorithms. Optimization of mapping of secondary (logical) network onto structure of unreliable primary (physical) network is considered as example.
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This work is supported by the grant of the Program of basic researches of the Presidium of Russian Academy of Science.
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Rodionov, A., Rodionova, O. (2015). Random Hypernets in Reliability Analysis of Multilayer Networks. In: Mastorakis, N., Bulucea, A., Tsekouras, G. (eds) Computational Problems in Science and Engineering. Lecture Notes in Electrical Engineering, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-15765-8_17
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DOI: https://doi.org/10.1007/978-3-319-15765-8_17
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