Mathematical Modeling and Fire Risk Management by Linear Interpolation


For citation.
Fomin A.I., Besperstov D.A., Ugarova I.M. Mathematical Modeling and Fire Risk Management by Linear Interpolation. Bezopasnost Truda v Promyshlennosti = Occupational Safety in Industry. — 2023. — № 1. — рр. 71-76. (In Russ.). DOI: 10.24000/0409-2961-2023-1-71-76


References:
1. Goncharenko V.S., Chechetina T.A., Sibirko V.I., Martemyanov S.I., Nadtochiy O.V., Polekhin P.V., Kozlov A.A., Chebukhanov M.A. Fires and fire safety in 2021. Available at: https://ptm01.ru/assets/images/biblioteka/%D0%A1%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0/2021/%D0%92%D0%9D%D0%98%D0%98%D0%9F%D0%9E/pozharyi-i-pozharnaya-bezopasnost-2021.pdf (accessed: October 10, 2022). (In Russ.).
2. Labor Code of the Russian Federation dated December 30, 2001, № 197-FZ (as amended and supplemented, effective from 03/01/2022). Available at: https://www.consultant.ru/document/cons_doc_LAW_34683/ (accessed: October 10, 2022). (In Russ.).
3. Constitution of the Russian Federation (with comments of the Constitutional Court of the Russian Federation). New edition. Мoscow: Prospekt, 2022. 120 p. (In Russ.).
4 On technical regulation (as amended on July 2, 2021) (version effective from December 23, 2021): Federal law of December 27, 2002 № 184-FZ. Available at: https://docs.cntd.ru/document/901836556 (accessed: October 10, 2022). (In Russ.).
5. Technical regulation on fire safety requirements (as amended on July 14, 2022): Federal Law of July 22, 2008 № 123-FZ. Available at: https://docs.cntd.ru/document/902111644 (accessed: October 10, 2022). (In Russ.).
6. On approval of the methodology for determining the calculated values of fire risk in buildings, facilities and structures of various classes of functional fire hazard: Order of the Ministry of Emergency Situations of Russia dated June 30, 2009 № 382. Available at: https://docs.cntd.ru/document/902167776 (accessed: October 10, 2022). (In Russ.).
7. Hubbard D.W. The Failure of Risk Management: Why It’s Broken and How to Fix It. Hoboken: John Wiley & Sons, 2009. 46 p.
8. Lanzoni A., Castoldi A.F., Kass G.E.N., Terron A., De Seze G., Bal-Price A., Bois F.Y., Delclos K.B., Doerge D.R., Fritsche E., Halldorsson T., Kolossa-Gehring M. Advancing human health risk assessment. EFSA Journal. 2019. Vol. 17. Iss. S1. DOI: 10.2903/j.efsa.2019.e170712
9. Pedrosa H., Guedes J.C. Characterisation of Accidents at Work in the Manufacturing Industry: In the Pursuit of Their Prevention. Occupational and Environmental Safety and Health IV. Series SSDC. Vol. 449. Cham: Springer, 2022. pp. 31–40. DOI: 10.1007/978-3-031-12547-8_3
10. Shaikh F.A., Sohu S. Implementation, advantages and management of ISO 9001 in the construction industry. Civil Engineering Journal. 2020. Vol. 6. № 6. pp. 1136–1142. DOI: 10.28991/cej-2020-03091535
11. Kholshchevnikov V.V. Studies of human flows and methodology for rationing the evacuation of people from the buildings in case of fire. Мoscow: MIPB MVD Rossii, 1999. 91 p. (In Russ.).
12. Kholshchevnikov V.V. Human flows in the buildings, structures, and on the territory of their complexes: thesis ... Doctor of Technical Sciences. Мoscow, 1983. 484 p. (In Russ.).
13. Kholshchevnikov V.V., Nikonov S.A., Shamgunov R.N. Modeling and analysis of the movement of human flows in the buildings for various purposes: textbook. Мoscow: MISI, 1986. 121 p. (In Russ.).
14. Henderson L.F. On the Fluid Mechanics of Human Crowd Motion. Transportation Research. 1974. Vol. 8. Iss. 6. P. 509–515. DOI: 0.1016/0041-1647(74)90027-6
15. Geniev G.A. About some patterns of movement of continuous human flows. Issledovaniya po teorii i metodam rascheta stroitelnykh konstruktsiy: sb. nauch. tr. (Research on the theory and methods of calculation of building structures: collection of research papers). Мoscow: TsNNISK, 1984. pp. 17–30. (In Russ.).
16. Sidorov S.G., Levin V.I. Linear Minimax Interpolation of a Stationary Random Process with Interval Parameters. Sistemy upravleniya, svyazi i bezopasnosti = Systems of Control, Communication and Security. 2021. № 1. pp. 215–242. (In Russ.). DOI: 10.24411/2410-9916-2021-10109
17. Kalyuzhnaya T.Ya. Mathematics: A Basic Course for Engineers: textbook. Krasnodar: FGBOU VO Kubanskiy GAU, 2021. 296 с. (In Russ.).
DOI: 10.24000/0409-2961-2023-1-71-76
Year: 2023
Issue num: January
Keywords : fire risk fire safety people evacuation evacuation modeling mathematical dependencies human flow density people movement speed people evacuation intensity
Authors:
  • Fomin A.I.
    Dr. Sci. (Eng.), Leading Researcher (AO «NTs VostNII», Kemerovo, Russia), Head of the Department (KuzSTU, Kemerovo, Russia)
  • Besperstov D.A.
    Cand. Sci. (Eng.), Assoc. Prof. (Kemerovo State University, Kemerovo, Russia)
  • Ugarova I.M.
    Candidate, ugarova260304@mail.ru (Kemerovo State University, Kemerovo, Russia)