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Journal: Current Fire Safety Issues (Vol.13, No. 3)

Publication Date:

Authors : ;

Page : 6-16

Keywords : emergency exit; width of emergency exits; coordinates of centers of emergency exits; number of emergency exits; method of local variations;

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The application of the method of local variations for solving applied problems including fire protection problems may involve possible difficulties (both analytical nature and numerical implementation). The issue concerning optimal placement of emergency exits along one or both sides of a long corridor arises when designing central-corridor residential buildings. The article considers the uniform distribution of outputs for both wide and narrow corridors and also presents the corresponding criterion. Calculations are given for a one-dimensional mathematical problem when emergency exits are placed only on the one side of the corridor, and for a two-dimensional one when emergency exits are placed on both sides and the influence of opposing emergency exits is taken into account. The non classical max (min) problem is formulated for calculations., The numerical version of its solution was proposed using the method of local variations since there were not found an algorithms for its solution in the literature. The paper considers the optimal arrangement of emergency exits on the longitudinal sides of the corridor with given length and width. Test variants for a small number of emergency exits (with a known solution) confirmed the correctness of the chosen algorithm as well as calculation using the created program on the TurboPascal-7 language. For the subsequent use of this method it is necessary to further test it for corridors of various configurations and a larger number of evacuation exits that exit into the specified corridor. The results of preliminary testing generally showed the possibility of applying the chosen approach to solving specific applied tasks.

Last modified: 2023-06-15 20:29:50