Email this article A randomized maximum cross-section method to simulate random structure systems with distributed transitions
- Authors: Averina T.A.1,2
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 9, No 3 (2016)
- Pages: 179-190
- Section: Article
- URL: https://journals.rcsi.science/1995-4239/article/view/197571
- DOI: https://doi.org/10.1134/S1995423916030010
- ID: 197571
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Abstract
In this paper, random structure systems with distributed transitions are considered. A theorem on the form of conditional structure distributions is proved. To simulate these distributions, a statistical algorithm using a randomized method of maximum cross-section is constructed. Also, a modified version of this algorithm using simulation with a single random number is constructed. The algorithms are used to simulate the numerical solution of random structure systems with distributed transitions. A theorem on weak convergence of a numerical solution obtained by the algorithms is proved.
About the authors
T. A. Averina
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: ata@osmf.sscc.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
