Mathematical Models of Decision Support System for the Head of the Firefighting Department on Railways

Rail transport is an important basic sector of economy of Ukraine, provides its internal and external transport and economic connections and transportation needs of the population. Currently, the country's railways transport a large quantity of various goods, including nine form of dangerous goods. We know that traffic accidents on the railway, according to the causes of origin, are divided into technological, natural, social, political and military character and, according to territorial distribution, disruption of traffic and volumes of technical and financial resources necessary to eliminate them, they can be national, regional and local or object level. These transport events may lead to loss of life or create a dangerous situation on particular area or particular object which may lead to loss of health, lead to the destruction of buildings, equipment and vehicles, violations of the manufacturing or transport process and harm the environment. Especially dangerous are accidents, accompanied by explosion of tanks with liquefied hydrocarbon gases and flammable liquids and throwing of flammable liquids and potent poison. Much of the danger comes from solid combustible substances during their transportation and storage [1]. Fighting fires on the railway is marked difficulty in organizing the operations of fire departments and related units of the railway, because of a large number of goods that have a variety of fire and explosive properties, the need to power down the contact network, the complexity of assessing the situation on the fire, the concentration necessary capabilities, etc. [2]. From the above, for the effective management of forces and means of fire must have an effective system of fire departments and relevant units of railroads, to organize a scientific basis for Task Force work to eliminate traffic accidents and fires at the operational headquarters, which is impossible without widespread use of modern information technology including decision support systems (DSS). Application of DSS allows the informational, technological, analytical and organizational support iterative interactive process of analysis of the situation as a result of accidents, training and evaluation of solutions managers eliminate traffic accidents and fire suppression and selection of the final decision to eliminate such events. To implement the DSSfor our opinion it is necessary to create mathematical models to assess the situation and the process of developing recommendations for their elimination, and the mathematical model for evaluating the effectiveness of firefighting units [3]. Creating models to assess the situation which arose as a result of traffic accidents accompanied by fire, in our view, should do with the productive systems that provide a view of human experience evaluating the situation in dangerous situations in the form of rules and allow the results to develop a search algorithm and are effective tool for developing expert systems [4]. Based on an analysis of work in addressing issues of liquidation of traffic accidents on the railway and general systems theory, set-theoretic model that reflects the cause-effect relationships of processes that create extraordinary situation, is given by [5]: S={ CS(t1), FS(t2) },