The determination of fire - brigades necessity using mass service theory regularities

Abstract

The mathematical model of mass service theory (further MST) is effectively used describing the work of fire brigades. A fire – brigade is MST Markov system with N chapters. Poisson flows of calls about fires come info a fire – brigade with certain intensity. The time of fire extinction complies with exponential law, which basic parameter is medium intensity m. Having all the characteristics, defining the work of fire – brigade, it is possible to evaluate the important characteristic of fire - brigade – the refusal to go to fire or according to other call probability in the case of all N departments occupation, the extinction of previous fires or the maintenance of other calls . The false calls are frequent in real life. The flow of the calls come to fire – brigade with certain intensity and the occupation of fire – brigades to maintain is a bit lower and also complies with exponential law. Having assessed the occupation of fire – brigades to maintain alls calls it is possible to create a mathematical model, which allow to determine the necessity of fire – brigades in towns and districts.