Development of models for the rational choice and accommodation of people in mobile technical vehicles when evacuating from buildings
DOI:
https://doi.org/10.15587/1729-4061.2020.209256Keywords:
mobile evacuation vehicles, accommodation configuration, locally optimal solutions, three-component model of an object, quasi-phi-functionsAbstract
A significant growth in the volume of high-rise construction gives special relevance and urgency to the problem of safety of such facilities. Scientifically grounded plans of people’s evacuation, including all sorts of scenarios for people’s evacuation from buildings are developed for such structures. Scenarios include simulations of the motion of human flows along corridors, stairs, using elevators and mobile evacuation vehicles. An unresolved part of the problem is the problem of the rational choice and accommodation of people in stationary and mobile evacuation vehicles.
The MIP model of the rational choice and accommodation of people in mobile vehicles of evacuation from buildings was developed. A particular case of the model – optimization of accommodation of people in the emergency evacuation vehicles according to the sequence of people’s arrival from the flow – was explored. The basic features of the model were analyzed: the model of the problem of mixed integer programming with piecewise continuous objective function. The specific features of the model allowed reasonable boiling down the problem to a sequence of sub-problems of accommodation the first objects (people) according to the sequence of their arrival and adapt each of them to the solution employing the multistart method with the application of artificial basis.
A three-component model is considered as objects (of human bodies). The model is subject to restrictions that ensure the conditions for "gluing" the model's components into a single complex object. Continuous rotations of the model components with limitations to the turning angles are allowed.
The proposed models and the solution methods modified in the present research make it possible to find both the configurations of the optimal-local accommodation of complex objects and the spatial shapes of objects.
References
- Stoyan, Yu. G. (1983). Osnovnaya zadacha geometricheskogo proektirovaniya. Kharkiv: In-t problem mashinostroeniya AN USSR, 36.
- Wäscher, G., Haußner, H., Schumann, H. (2007). An improved typology of cutting and packing problems. European Journal of Operational Research, 183 (3), 1109–1130. doi: https://doi.org/10.1016/j.ejor.2005.12.047
- Bennell, J. A., Oliveira, J. F. (2008). The geometry of nesting problems: A tutorial. European Journal of Operational Research, 184 (2), 397–415. doi: https://doi.org/10.1016/j.ejor.2006.11.038
- Rvachev, V. L. (1982). Teoriya R-funktsii i nekotorye ee prilozheniya. Kyiv: Naukova dumka, 552.
- Yakovlev, S. V., Gil', N. I., Komyak, V. M. et. al..; Rvachev, V. L. (Ed.) (1995). Elementy teorii geometricheskogo proektirovaniya. Kyi: Naukova dumka, 241.
- Stoyan, Yu. G. (1980). Ob odnom obobshchenii funktsii plotnogo razmeshcheniya. Doklady NAN Ukrainy, 8, 71–74.
- Stoyan, Yu. G. (2001). Φ-function and its basic properties. Doklady NAN Ukrainy, 8, 112–117.
- Stoyan, Yu., Gil, N., Romanova, T., Scheithauer, G. (2004). Phi-function for complex 2D object. 40R Quarterly Journal of the Belgian, French and Italian Operations Research Societies, 2 (1), 69–84.
- Stoyan, Y., Romanova, T., Pankratov, A., Chugay, A. (2015). Optimized Object Packings Using Quasi-Phi-Functions. Springer Optimization and Its Applications, 265–293. doi: https://doi.org/10.1007/978-3-319-18899-7_13
- Pankratov, A. V., Romanova, T. E., Chugay, A. M. (2015). Optimal packing of convex polytopes using quasi-phi-functions. Engineering problems, 18 (2), 55–64.
- Komyak, V., Komyak, V., Danilin, A. (2017). A study of ellipse packing in the high-dimensionality problems. Eastern-European Journal of Enterprise Technologies, 1 (4 (85)), 17–23. doi: https://doi.org/10.15587/1729-4061.2017.91902
- Holshchevnikov, V. V., Samoshin, D. A. (2009). Evakuatsiya i povedenie lyudey na pozharah. Moscow: Akademiya GPS MCHS Rossii, 210.
- Kallrath, J., Rebennack, S. (2013). Cutting ellipses from area-minimizing rectangles. Journal of Global Optimization, 59 (2-3), 405–437. doi: https://doi.org/10.1007/s10898-013-0125-3
- Pankratov, A. V., Romanova, T. E., Subbota, I. A. (2014). Optimal'naya upakovka ellipsov s uchetom dopustimyh rasstoyaniy. Journal of Computational & Applied Mathematics, 1, 129–140.
- Karkin, I. N., Parfenenko, A. P. (2011). Floiwtech VD – computer-simulation method from evacuation calculation. International Scientific and Technical Conference Emergency Evacuation of People from Buildings. Warsaw, 111–118.
- Kholshchevnikov, V. V., Parfenenko, A. P. (2015). Comparison of different models of the movement of human flows and results of program computer systems. Pozharovzryvobezopasnost', 24 (5), 68–75. doi: https://doi.org/10.18322/pvb.2015.24.5.68-75.
- Komiak, V. M., Kiazimov, K. T., Danylyn, A. N. (2020). Modeliuvannia aktyvnoho rukhu liudei v pototsi zmishanoho skladu. Materialy Mizhnarodnoi naukovo-prykladnoi konf.: Problemy nadzvychainykh sytuatsiy. Kharkiv: NUTsZU, 97–99.
- Stoyan, Y. G., Yakovlev, S. V. (2018). Configuration Space of Geometric Objects. Cybernetics and Systems Analysis, 54 (5), 716–726. doi: https://doi.org/10.1007/s10559-018-0073-5
- Klymenko, V. P., Oksanych, M., Lopushanskyi, A. V. (2018). Data metamodel as a basis for building a unified information environment of a system of situational centers of the Security and Defense Sector. Matematychni mashyny i systemy, 3, 40–47.
- Kampas, F. J., Castillo, I., Pintér, J. D. (2019). Optimized ellipse packings in regular polygons. Optimization Letters, 13 (7), 1583–1613. doi: https://doi.org/10.1007/s11590-019-01423-y
- Gill, F., Myurrey, U., Rayt, M. (1985). Prakticheskaya optimizatsiya. Moscow: Mir, 509.
- Wächter, A., Biegler, L. T. (2005). On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Mathematical Programming, 106 (1), 25–57. doi: https://doi.org/10.1007/s10107-004-0559-y
- Komyak, V., Kyazimov, K. (2020). Variantal modeling of evacuation of people from altitude buildings in the event of an emergency situation. Modern Problems of Modeling, 17, 27–35. doi: https://doi.org/10.33842/2313-125x/2019/17/27/35
- Komyak, V. M., Sobol, A. N., Danilin, A. N., Komyak, V. V., Kyazimov, K. T. (2020). Optimization of Partitioning the Domain into Subdomains According to Given Limitation of Space. Journal of Automation and Information Sciences, 52 (2), 13–26. doi: https://doi.org/10.1615/jautomatinfscien.v52.i2.20
- Coin-Or. Available at: https://projects.coin-or.org/Ipopt
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Copyright (c) 2020 Alexander Pankratov, Valentina Komyak, Kyazim Kyazimov, Vladimir Komyak, Andrii Naydysh, Alexander Danilin, Anatoliy Kosse, Gennadii Virchenko, Viacheslav Martynov
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