The use of Markov chain theory for the organization of fire safety control during construction

• Main Authors: Fedosov, Sergey, Lazarev, Alexander
• Format: Conference Proceeding
• Language: English
• Subjects: Construction sites; Control systems; Differential equations; Fire protection; Fire safety; Flame retardants; Hazardous materials; Markov analysis; Markov chains; Violations
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0178262

The analysis of the scientific literature has shown a fairly frequent application of the probabilistic approach to solving problems of various kinds. The solutions considered are mainly related to the theory of Markov chains. At the same time, there are practically no studies of the fire safety control system during construction with the implementation of this approach. With this in mind, the authors have proposed a method for determining the limiting probabilities for a fire safety control system during construction. The practical significance of the conducted research also lies in the results of the numerical experiment. Taking into account the basics of the theory of Markov chains, systems of differential equations with their subsequent solution have been compiled for three different fire safety control systems during construction. At the same time, three states of the systems under consideration are taken into account: the emergence of fears of violations of fire safety requirements at the construction site; with confirmation of violations of fire safety requirements; in the third state, these violations are not detected. As part of the study, the following violations are taken into account: lack of fire-retardant treatment of metal structures; improper conduct of hidden work; violation of the order of welding and fire-hazardous works, storage and use of combustible substances and materials; violation of design decisions; improper maintenance of the territory; absence or malfunction of the necessary equipment.