The wave algorithm used to determine the optimal indoor route for smoke divers in case of fire and fumigation

Introduction. One of the main objectives, pursued by the information analysis support extended to smoke divers, is the preparation of indoor routes. Technical capabilities, represented by advanced remote monitoring systems, provide a fire extinguishing manager with the necessary information about the point of fire origin and mathematical tools allow to predict fire spreading characteristics. The goal of this work is to develop an algorithm for the preparation of an optimal indoor route for smoke divers to support management decisions in the event of fire. To achieve this goal, it is necessary to develop the theoretical framework and implement it in a software programme. Theoretical foundations. The theory of cellular automata is employed in this paper to simulate the routes of smoke divers inside a building. A cellular automaton with a Moore neighborhood is applied. We use differential equations, similar to the Kolmogorov equations, to monitor the fire parameters. Results and discussions. A modified wave algorithm was developed to determine the optimal indoor route. The software tool was applied to simulate the route of gas divers. Coefficients of importance were applied in the process of mathematical modeling; they took account of the prioritized work to be performed by smoke divers. Conclusions. The results of the study suggest that the algorithm allows to identify the optimal itinerary, thereby enabling the decision maker, responsible for sending teams of smoke divers to the work performance location, to make a reasonable choice of the point of entry for the personnel and machinery, as well as their itinerary inside the building.