Abstract
The features of a network operation, which is based on a hyperconverged architecture, are considered. A hierarchical graph is built, isomorphic to the network structure, in which the network hypervisor is the center. The graph vertices are stratified depending on the length of the path to the center. Sets of graph branches are constructed for each level of stratification. Utilization rates for the nodes and branches of the graph are calculated. On their basis, the level of network operation quality is determined, depending on the availability of operable branches and the reliability of the nodes and communication links. Logical functions are constructed that describe the performance of the branches. To obtain a scalar indicator of the structural reliability of a network, the distribution of a discrete random variable of the number of operable branches is considered. An iterative algorithm for obtaining its numerical characteristics is proposed. The algorithm is based on finding the generating polynomial of the distribution. The mathematical expectation of a given random variable is chosen as an indicator of the structural reliability of the network. The analysis of the results of the structural reliability calculation for a network based on a hyperconverged architecture, depending on the functional redundancy, the number of levels of stratification, the degree of system complexity is performed.
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Ruban, I., Kuchuk, H., Kovalenko, A., Lukova-Chuiko, N., Martovytsky, V. (2021). Method for Determining the Structural Reliability of a Network Based on a Hyperconverged Architecture. In: van Gulijk, C., Zaitseva, E. (eds) Reliability Engineering and Computational Intelligence. Studies in Computational Intelligence, vol 976. Springer, Cham. https://doi.org/10.1007/978-3-030-74556-1_9
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