Models of optimal allocation of fire service human resources on the basis of territories fire risks typology

Introduction. The article is devoted to solving the interrelated problems of assessing the territorial situation of fires based on the approaches of the integral fire risks theory, the typology of territories on fire situation based on cluster analysis, the optimal distribution of human resources of the fire service in territorial clusters. The optimal distribution is based on the principles of the active systems theory.

Methods. The study was conducted on the materials ofVietnam as a rapidly developing country with a fire situation that is complicated over time and has significant territorial differences. When solving the problem of typology takes into account the complex of factors reflecting economic, social, demographic, climatic indicators as well as indicators that account for the processes of urbanization, electrification, the development of trade and transport, provision of fire services personnel and technical means, characteristics of fires and fire fighting. The problem of typologization ofVietnam’s provinces on characteristics of fire danger is given and its solution with the help of statistical software package Statistica 12 is found. An algorithm for solving the problem of territories typology by complex characteristics of fire danger is presented.

Results. The selected clusters satisty three conditions: compact location inVietnam; similarity of socio-economic conditions and fire situation; similarity of their forces and means parameters. Specific performance indicators of fire service depending on the actual load on firefighter were investigated.

Discussion. The complex specific indicator is formed, taking into account both the dead and injured in fires, which explains 82 % of the statistical data. Based on this indicator the goal function of territorial fire services and system target function that reflect efficiency of use of human resources is offered. Analytical dependences for the optimal distribution of human resources in clusters are found.

Conclusions. Computational experiments have shown that the use of the human resources optimal allocation method developed in the article would reduce the complex specific indicator of the number of deaths and injuries in fires by about 10 12 % compared to the real situation.

1. Negreeva V. V., Tran Thanh Tuan. The economic development of Vietnam. Nauchnyy zhumal NIU ITMO. Seriya: Ekonomika i ekologicheskiy menedzhment / Scientific Journal of National Research University of Information Technologies, Mechanics and Optics (NRUITMO). Series: Economics and Environmental Management,20l7,no. l,pp. 15-20 (in Russian). DOl: 10.17586/2310-1172-2017-10-1-15-20.

2. Ngoc Tran ТЫ Bich. Innovative problems in Vietnam’s economy. VestnikMezhdunarodnoy akademii sistemnykh issledovaniy. Informatika, ekologiya, ekonomika / Bulletin of International Academy of System Studies. Computer Science, Ecology, Economics, 2012, vol. 14, no 2, pp. 11-16 (in Russian).

3. Dao Anh Tuan. Analysis of lire incidents in Vietnam in period 2001-2015. Tekhnologii tekhnosfemoy bezopasnosti / Technology of Technosphere Safety, 2016, no. 5(69), pp. 24—30 (in Russian). Available at: http://agps-2006.narod.ru/ttb/2016-5/29-05-16.ttb.pdf (Accessed 27 April 2018).

4. Minaev V. A., Topolsky N. G., Dao Anh Tuan. Classification of provinces in Vietnam on fire hazard characteristics. Pozhary i chrezvychaynyye situatsii:predotvrashcheniye, likvidatsiya / Fire andEmer- gencies: Prevention, Elimination,2018,issue l,pp. 12-16(inRussian).DOI: 10.25257/FE.2018.1.72-76.

5. Minaev V. A., Topolsky N. G., Chu Quoc Minh. Optimal territorial distribution of Vietnam fire service staff resources. Tekhnologii tekhnosfemoy bezopasnosti / Technology of Technosphere Safety, 2015, no. 3(61), pp. 19-27 (in Russian). Available at: https://elibrary.ru/download/elibrary_25101385_71628854.pdf (Accessed 27 April 2018).

6. BenichouN., Kashef A. H., ReidL, Hadjisophocleous G. V., Torvi D. A., Morinville G. FIERAsystem: a fire risk assessment tool to evaluate fire safety in industrial buildings and large spaces. Journal of Fire Protection Engineering, 2005, vol. 15, no. 3, pp. 145-172. DOI: 10.1177/1042391505049437.

7. Brushlinskiy N. N., Shebeko Yu. N. (eds.). Pozharnyye riski. Vypusk. 4. Upravleniyepozhamymi riskami [Fire Risks. Issue 4. Fire Risk Management]. Moscow, VNIIPO of Emercom of Russia Publ., 2006. 148 p. (in Russian).

8. Brushlinskiy N. N., Klepko E. A. To question of local and integral risks. Vestnik Akademii Gosudar- stvennoy protivopozharnoy sluzhby MChS Rossii / Bulletin of the State Fire Academy of Emercom of Russia, 2007, no. 6, pp. 93-96 (in Russian).

9. Minaev V. A., Topolsky N. G., Dao Anh Tuan. Information support ofproblem of Vietnam’s territories fire situation typology. Tekhnologii tekhnosfemoy bezopasnosti / Technology of Technosphere Safety, 2017, no. 1(71), pp. 17-26 (in Russian). Available at: http://agps-2006.narod.ru/ttb/2017-l/41-01-17.ttb.pdf (Accessed 27 April 2018).

10. Chu Quoc Minh. Fire risk management based on methods and models of the theory of active systems. Cand. tech. sci. diss. Moscow, 2015. 215 p. (in Russian).

11. Burkov V. N., Kondratiev V. V. Mekhanizmy funktsionirovaniya organizatsionnykh sistem [Mechanisms of organizational systems functioning]. Moscow, Nauka Publ., 1981. 384 p. (in Russian).

12. Kondratieva T. V., Konstantinova N. V. Accounting for activity of human in organizational systems. In: Mekhanizmy funktsionirovaniya organizatsionnykh sistem. Teoriya iprilozheniya. Sbornik trudov [Mechanisms of organizational systems functioning. Theory and applications. Collected papers]. Moscow, Institute of Control Sciences RAS Publ., 1982, issue 29, pp. 98-103 (in Russian).

13. Burkov V. N., Novikov D. A. Teoriya aktivnykh sistem: sostoyaniye i perspektivy [Theory of active systems: state and prospects]. Moscow, Sinteg Publ., 1999. 128 p. (in Russian).

14. Minaev V. A., Topolsky N. G., Simakov V. V., Teterin I. M., Dao Anh Tuan. Results of Vietnam’s territories typology on fire situation characteristics. Tekhnologii tekhnosfemoy bezopasnosti/Technology of Technosphere Safety, 2017, no. 4(74), pp. 16-26 (in Russian). Available at: http://agps-2006.na- rod.ru/ttb/2017-4/05-04-17.ttb.pdf (Accessed 27 April 2018).

15. Beck V. R., Yung D. The development ofa risk-cost assessment model for the evaluation of fire safety in buildings. Fire Safety Science, 1994, vol. 4, pp. 817-828. DOI: 10.3801/iafss.fss.4-817.

16. Beck V. R., Yung D. T., He Y., SumatMpala K. Experimental validation of a fire growth model. In: Franks C. (ed.). Interflam ’96. 7‘*‘ International Fire Science and Engineering Conference {CambńĆLgc, England, 26 March 1996). London, Interscience Communications, Ltd., 1996, pp. 653-662.

17. Cluzel D., Sarrat P. Methode ERIC. Evaluation du risque incendie par le calcul. In: Proceedings of CIB Symposium on Systems Approach to Fire Safety in Buildings, 1979, vol. I, pp. II-37-II-58.

18. Chu G., Sun J. Decision analysis on fire safety design based on evaluating building fire risk to life. Safety Science, 2008, vol. 46, issue 7, pp. 1125-1136. DOI: 10.1016/j.ssci.2007.06.011.

19. Hall J. R. Overview of standards for fire risk assessment. Fire Science and Technology, 2006, vol. 25, no. 2, pp. 55-61. DOI: 10.3210/fst.25.55.

20. Hall J. R., Watts J. M. Fire Risk Analysis. In: Cote A. E. (ed.). Fire Protection Handbook. 20* ed. Quincy, Massachusetts, National Fire Protection Association (NFPA), 2008, ch. 8, pp. 135-143.

21. Hasofer A. M., Beck V. R., Bennetts I. D. Risk analysis in building fire safety engineering. Burlington, Butterworth-Heinemann, 2007. 189 p.

22. Hurley М. J., Bukowski R. W. Fire hazard analysis teehniques. In: Cote A. E. (ed.). Fire Protection Handbook. 20* ed. Quiney, Massachusetts, National Fire Protection Association (NFPA), 2008, ch. 7, pp. 3-121-3-134.

23. Kaiser J. Experiences ofthe Gretener method. Fire Safety Journal, 1979/80, vol. 2, issue 3, pp. 213-222. DOI: 10.1016/0379-7112(79)90021-3.

24. Kumamoto H. Satisfying safety goals by probabilistic risk assessment. Berlin, Springer, 2007. 253 p. DOI: 10.1007/978-1-84628-682-7.

25. Meacham B. J. Understanding risk: quantification, perceptions, and characterization. Journal of Fire Protection Engineering, 2004, vol. 14, issue 3, pp. 199-227. DOI: 10.1177/1042391504042454.

26. Minaev V.A., Topolsky N.G., Dło Anh Tuśn. Phan kieu lanh tho Vięt Nam theo dac diem nguy hilm chay theo phuong phńp pMn сщп thii b^c. Tęp chi “Phdng chay va chua chay”, Bg Cong an, Viet Nam, 2017, no. 96, pp. 30-33 (in Vietnames).

27. Minaev V.A., Topolsky N.G., Dżo Anh Tuśn. Ph§n tlch kśt qud phSn kilu lanh thó Viet Nam theo dac diśm nguy hi śmchay. Tąp chi “Phdng chay vd chua chay", B0 C6ng an, Viet Nam, 2017, no. 97, pp. 28-31 (in Vietnames).

28. Minaev V.A., Topolsky N.G., Dao Anh Tuśn. Thóng kS, tinh toan dśnh gia rui ro chay a Viet Nam Tąp chi "Phong chay vd chua chay”. Bo C6ng an, Viet Nam, 2016, no. 89, pp. 28-30 (in Vietnames).

29. Nystedt F. A. Quantified fire risk design method. Journal of Fire Protection Engineering, 2001, no. 10, pp. 41-45.

30. Rasbash D., Ramachandran G., Kandola B., Watts J., Law M. Evaluation of fire safety. N. Y., John Wiley & Sons, Ltd., 2004. 479 p. DOI: 10.1002/0470020083.

31. Wolski A. The importance of risk perceptions in building and fire safety codes. Journal ofFire Protection Engineering, 2001, no. 10, pp. 27-33.

32. Yung D., Hadjisophocleous G. V., Proulx G. A Description of the Probabilistic and Deterministic Modeling Used in FiRECAM™. International Journal on Engineering Performance-Based Fire Codes, 1999, vol. l,no. l,pp. 18-26.

33. Yung D. Principles of fire risk assessment in buildings. N. Y., John Wiley & Sons, Ltd., 2008. 227 p. DOI: 10.1002/9780470714065.