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Mathematical and Computer Modeling of Active Movement of People During Evacuation from Buildings

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Information Technology in Disaster Risk Reduction (ITDRR 2020)

Abstract

One of the forms of protecting the population from emergencies is the controlled evacuation of people from buildings for the required time, calculated on the basis of their design and planning decisions. For this purpose, scientifically sound plans for evacuation of people are developed, the main component of which are the programs of modeling of human flows, which adequately reflect the real processes of movement of people. In this work, it is proposed to take into account the natural deformation of the human body by rotating parts of its body (eg, the shoulder) when modeling flow motion. For this purpose, it is proposed to present the projection of a human body of a set of three ellipses: the main with the possibility of its rotation in the framework of maneuverability with respect to the basic direction of movement, and two ellipses, given by the half-axis’s, which are equal to half the length and thickness of the shoulder with the possibility of their rotation. in a given range of angles in the horizontal plane relative to the raised arm of the person. Such a problem arises with the active movement of people in the flow of high density, when the category of movement changes from free to compressed. The paper formalizes the constraints, builds a mathematical model of the active movement of people in the flow, provides examples of computer simulation of the movement of people, which represented by a three-component models.

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References

  1. Predtechenskiy, V.M., Milinskiy, A.I.: Proyektirovaniye zdaniy s uchetom organizatsii dvizheniya lyudskikh potokov M.: Stroyizdat (1969). (Pereizdano Berlin, 1971; Koln, 1971; Praha, 1972; U. S., New Delhi, 1978)

    Google Scholar 

  2. Predtechenskiy, V.M., Milinskiy, A.I.: Proyektirovaniye zdaniy s uchetom organizatsii dvizheniya lyudskikh potokov M.: Stroyizdat. 375 c. (1979)

    Google Scholar 

  3. Tarantsev, A.A.: Modelirovaniye parametrov lyudskikh potokov pri evakuatsii s ispol’zovaniyem teorii massovogo obsluzhivaniya. Pozharovzryvobezopasnost 23(6), 46–55 (2002)

    Google Scholar 

  4. Tarantsev, A.A.: Ob odnoy zadache modelirovaniya evakuatsii s ispol’zovaniyem teorii massovogo obsluzhivaniya. Pozharovzryvobezopasnost 23(3), 46–55 (2002)

    Google Scholar 

  5. Kholshchevnikov, V.V., Samoshin, D.A., Galushka, N.N.: Obzor komp’yuternykh programm modelirovaniya evakuatsii zdaniy i sooruzheniy. Pozharovzryvobezopasnost 11(5), 40–49 (2002)

    Google Scholar 

  6. Shennon, R.: Imitatsionnoye modelirovaniye system. Iskusstvo i Nauka. M.: Mir. 420. (1978)

    Google Scholar 

  7. Karkin, I.N., Parfenenko, A.P.: Floiwtech VD – computer-simulation method from evacuation calculation. In: International Scientific and Technical Conference Emergency Evacuation of People from Buildings, Warsaw, pp. 111–118 (2011)

    Google Scholar 

  8. Kholshchevnikov, V.V., Parfenenko, A.P.: Sopostavleniye razlichnykh modeley dvizheniya lyudskikh potokov i rezul’tatov programmno-vychislitel’nykh kompleksov. Pozharovzryvobezopasnost 24(5), 68–74 (2015)

    Google Scholar 

  9. Va, K., Vl, K., Danilin, A.: A study of ellipse packing in the high-dimensionality problems. Eastern-Eur. J. Enterprise Technol. 1/4(85), 17–23 (2017)

    Google Scholar 

  10. Komyak, V., Velev, D., Zlateva, P.: Modelirovaniye dvizheniya potokov lyudey pri evakuatsii iz vysotnykh zdaniy. MateríaliMízhnarodnoí̈ naukovo-praktichnoí̈ konf. “Problemi tekhnogenno-yekologíchnoí̈bezpeki: osvíta, nauka, praktika” (Kharkív, 21–22 listopada 2019), pp. 287–289 (2019)

    Google Scholar 

  11. Kholshchevnikov, V.V., Samoshin, D.A.: Evakuatsiya i povedeniye lyudey na pozharakh: uchebnoye posobiye. M.: Akademiya GPS MCHS Rossii. 212 s. (2009)

    Google Scholar 

  12. Stoyan, Y., Pankratov, A., Romanova, T.: Quasi-phi-functions and optimal packing of ellipses. J. Global Optim. 65(2), 283–307 (2015). https://doi.org/10.1007/s10898-015-0331-2

    Article  MathSciNet  MATH  Google Scholar 

  13. Stoyan, Y.G., Yakovlev, S.V.: Configuration space of geometric objects. Cybern. Syst. Anal. 54(5), 716–726 (2018)

    Article  MathSciNet  Google Scholar 

  14. Pankratov, A., et al.: Development of models for the rational choice and accommodation of people in mobile technical vehicles when evacuating from buildings. Eastern-Eur. J. Enterprise Technol. 4/4(106), 29–36 (2020)

    Google Scholar 

  15. Danilin, A.N., Komyak, V.V., Komyak, V.M., Pankratov, A.V.: Upakovka ellipsov v pryamougol’nik minimal’nykh razmerov. USiM. K. No 5, 5–9 (2016)

    Google Scholar 

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Correspondence to Valentyna Komyak .

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Komyak, V., Pankratov, A., Komyak, V., Kyazimov, K. (2021). Mathematical and Computer Modeling of Active Movement of People During Evacuation from Buildings. In: Murayama, Y., Velev, D., Zlateva, P. (eds) Information Technology in Disaster Risk Reduction. ITDRR 2020. IFIP Advances in Information and Communication Technology, vol 622. Springer, Cham. https://doi.org/10.1007/978-3-030-81469-4_20

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  • DOI: https://doi.org/10.1007/978-3-030-81469-4_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81468-7

  • Online ISBN: 978-3-030-81469-4

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