Russian Federation
Russian Federation
Russian Federation
The article presents a stochastic model of IS degradation based on Markov chains and graph analysis of vulnerabilities. Tested on 50,000 CVE records from NIST NVD. Without patching, compromise risk reaches 0.92 in 9 months; adaptive patching reduces it to 0.28. Novelty-interaction topology accounting, superiority over OWASP/Snyk. Recommendations: centrality-based prioritization for SIEM integration, 80% risk reduction.
CVE, stochastic model, Markov chains, graph analysis, cascade effects, patch fatigue, birth-death, Monte Carlo, NIST NVD, vulnerability debt
1. Ozment A., Shehter S. Moloko ili vino: uluchshaetsya li bezopasnost' PO so vremenem? // Trudy 15-y konferencii USENIX po bezopasnosti. – 2006.
2. Mochalov V.P., Bratchenko N.Yu., Gosteva D.V. Algoritm dinamicheskogo raspredeleniya i balansirovki nagruzki v raspredelennyh oblachnyh vychisleniyah // Modelirovanie sistem i processov. – 2024. – T. 17, № 1. – S. 92-102. – DOIhttps://doi.org/10.12737/2219-0767-2024-17-1-92-102. – EDN EWMPYM.
3. Reskorla E. Stoit li iskat' uyazvimosti v bezopasnosti? // IEEE Security & Privacy. – 2005. – T. 3, № 1. – S. 14-19. DOI: https://doi.org/10.1109/MSP.2005.17
4. Zhmatov D.V., Leont'ev A.S. Stohasticheskie metody analiza zaschischennosti v mnogourovnevyh sistemah promyshlennogo interneta veschey // Informaciya i Kosmos. – 2025. – № 4. – S. 79-85.
5. Zarevich A.I. Cifrovaya obrabotka signalov pri avtomatizirovannyh ispytaniyah sil'notochnyh shuntov // Nauchno-tehnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politehnicheskogo universiteta. Informatika. Telekommunikacii. Upravlenie. – 2013. – № 6 (186). – S. 103-108.
6. Zarevich A.I., Murav'ev S.V., Bedareva E.V., Karpenko S.R. Impul'snyy metod opredeleniya chastotnyh harakteristik sil'notochnyh shuntov // Izvestiya Tomskogo politehnicheskogo universiteta. – 2012. – T. 321, № 4. – S. 137-140.
7. Zarevich A.I., Murav'ev S.V. Minimizaciya emkosti dekady induktivnogo delitelya napryazheniya // Izvestiya Tomskogo politehnicheskogo universiteta. – 2012. – T. 321, № 4. – S. 140-143.
8. Zarevich A.I., Murav'ev S.V. Matematicheskaya model' induktivnogo delitelya napryazheniya s elektronnoy kompensaciey // Izvestiya Tomskogo politehnicheskogo universiteta. – 2010. – T. 317, № 4. – S. 129-133.
9. Vintizenko I.I., Zarevich A.I., Novikov S.S. Relativistic magnetron with distributed output of microwave radiation // Technical Physics Letters. – 2005. – Vol. 31, № 5. – P. 388-390. DOI: https://doi.org/10.1134/1.1931776
10. Zarevich A.I., Vegner E.V., Vintizenko I.I. Avtomatizirovannyy kompleks dlya diagnostiki impul'sov relyativistskogo SVCh-generatora // Pribory i tehnika eksperimenta. – 2004. – № 3. – S. 78-82.
11. Vintizenko I.I., Guselnikov V.I., Zarevich A.I., Novikov S.S. Effect of the external coupling of cavities on the stability and output power of a relativistic magnetron // Technical Physics Letters. – 2003. – Vol. 29, № 4. – P. 294-296. DOI: https://doi.org/10.1134/1.1573295
12. Zarevich A.I., Makarenko F.V., Poluektov A.V. Sintez bol'shih dannyh i korrekciya disbalansa klassov dlya uluchsheniya modeli klassifikacii lesnyh pozharov // Lesnoe hozyaystvo v usloviyah global'nyh vyzovov: novye paradigmy ustoychivogo razvitiya. Forestry – 2025 : materialy Mezhdunar. les. foruma, priuroch. k prazdnovaniyu 95-letiya VGLTU. – Voronezh, 2025. – S. 773-785.
