Analysis of Dispatch Flows of City (District) Fire and Rescue Service Units

Authors

  • Doniyorov Azizbek Narzulla o‘g‘li Center for Advanced Training of Employees of the Ministry of Poverty Reduction and Employment Author
  • Javliyev Asomiddin Elmirzaevich Center for Advanced Training of Employees of the Ministry of Poverty Reduction and Employment Author

DOI:

https://doi.org/10.51699/f2c2mx21

Keywords:

emergency situations, fire and rescue service, call flow, Poisson distribution, Pearson criterion, empirical and theoretical distribution, statistical modeling, seasonal fluctuations

Abstract

Urban fire and rescue service operates for unpredictable incidents, such as fires, explosions, road traffic accidents, and life support systems failure. Estimating incoming dispatch call flows is majorly critical for demand predictions and for establishing operational readiness. While the call streams from a given area may be assumed to be driven by a stationary Poisson process, dispatch activity at the city level will often present monthly and seasonal variation—an effect that can lead to less robust statistical verification if an entire year is treated as a single uniform flow. The analysis is made based on dispatch call data of the Termez city fire and rescue service units in 2022. Theoretical Poisson distributions were computed to match empirical daily call distributions. The agreement between empirical and theoretical results was tested with the Pearson chi square goodness of fit criterion (with the additional interpretation with the Romanov criterion). Seasonal variability was examined by dividing the year into three periods (January–March, April–August, and September–December). They found an average call intensity of about 1.7 calls/day, with monthly variability between 1.2 and 2.1 calls/day. When the seasonal grouping was recalculated the Pearson criterion test showed that stationarity can be accepted for the dispatch call flow and this flow can be described by the Poisson distribution. This data supports the continuous adoption of Poisson based mathematical models as a tool for forecasting dispatch demand as well as optimizing staffing and resource allocation for the overall efficiency of the fire and rescue service process.

 

References

[1]. N. N. Brushlinskii, S. V. Sokolov, and P. Vagner, Chelovechestvo i pozhary. Moscow, Russia: Maska, 2007.

[2]. N. N. Brushlinskii et al., Osnovy teorii pozharnykh riskov i ee prilozheniya. Moscow, Russia: Akademiya GPS MChS Rossii, 2012.

[3]. I. A. Zakharov, Informatsionno-analiticheskaya podderzhka upravleniya pozharno-spasatel'nymi podrazdeleniyami pri reagirovanii na krupnye pozhary, Ph.D. dissertation, Moscow, Russia, 2018.

[4]. K. Pearson, “Mathematical contributions to the theory of evolution,” Philosophical Transactions of the Royal Society of London, vol. 195, pp. 1–66, 1900.

[5]. Official statistics of Termez city fire and rescue service units, 2022.

[6]. Russkie nauchnye trudy po pozharnoy bezopasnosti i upravleniyu riskami. Moscow, Russia, 2005–2010, pp. 8–22.

[7]. D. J. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes: Volume I: Elementary Theory and Methods, 2nd ed. New York, NY, USA: Springer, 2003.

[8]. A. Papoulis and S. U. Pillai, Probability, Random Variables, and Stochastic Processes, 4th ed. New York, NY, USA: McGraw-Hill, 2002.

[9]. W. Feller, An Introduction to Probability Theory and Its Applications, vol. 1, 3rd ed. New York, NY, USA: Wiley, 1968.

[10]. D. R. Cox and V. Isham, Point Processes. London, U.K.: Chapman and Hall, 1980.

[11]. J. R. Taylor, An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements, 2nd ed. Sausalito, CA, USA: University Science Books, 1997.

[12]. P. J. Diggle, Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, 3rd ed. Boca Raton, FL, USA: CRC Press, 2013.

[13]. A. J. Baddeley, E. Rubak, and R. Turner, Spatial Point Patterns: Methodology and Applications with R. Boca Raton, FL, USA: CRC Press, 2015.

[14]. S. M. Ross, Introduction to Probability Models, 12th ed. Boston, MA, USA: Academic Press, 2019.

[15]. N. H. Chan, Time Series: Applications to Finance. Hoboken, NJ, USA: Wiley, 2011.

Downloads

Published

2026-02-17

How to Cite

Analysis of Dispatch Flows of City (District) Fire and Rescue Service Units. (2026). Innovative: International Multidisciplinary Journal of Applied Technology (2995-486X), 4(2), 109-117. https://doi.org/10.51699/f2c2mx21

Similar Articles

1-10 of 120

You may also start an advanced similarity search for this article.