ABOUT ERLANG’S DISTRIBUTION AND SOME ITS APPLICATIONS

The article summarizes presents the problems of temporal characteristics of fire service activities modeling by means of Erlang distribution. All temporal characteristics are random continuous variables and study them by using probabilistic and statistical methods. Statistical analysis of a large array of real temporal characteristics of the fire services activities in the cities and countries around the world demonstrates that they are well describes by Erlang distribution of different orders, thus the Erlang distribution can be regarded as a mathematical model of the temporal characteristics of the fire services activities of cities (and territories). There were examined the regulations of the response time for fire service contained in the “Technical regulations on fire safety requirements”. It is shown the inconsistency of these regulations, due to the fact that they are not possible to realize in the cities and mainly in the rural areas. The authors propose its wording of regulations for response time of the fire units to the call set in the cities and the rural areas