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  • 标题:MATHEMATICAL MODELS AND METHODS FOR SOLVING THE PROBLEM OF EVACUATION
  • 本地全文:下载
  • 作者:AINUR KOZBAKOVA ; ALIYA KALIZHANOVA ; FERUZA MALIKOVA
  • 期刊名称:Journal of Theoretical and Applied Information Technology
  • 印刷版ISSN:1992-8645
  • 电子版ISSN:1817-3195
  • 出版年度:2021
  • 卷号:99
  • 期号:14
  • 语种:English
  • 出版社:Journal of Theoretical and Applied
  • 摘要:The problem of evacuation of people from closed premises such as universities, colleges and schools is considered. The peculiarity of this work lies in the formation of an integrated approach for organizing the evacuation process in peacetime as a training for an emergency. A conceptual diagram of an evacuation system is proposed that uses heterogeneous sources for receiving and transmitting information about the onset of an emergency. The input and output sources for receiving and transmitting information about the number of people in the building are determined. The main purpose of the system is to form an operational evacuation plan in real time. The optimal solution to the problem of maximum network flow is implemented using a game-theoretic approach. A mathematical model has been developed for the optimal distribution of the flow along the grindshill network with the analysis of the flow formation and the characteristics of the ways of people moving in closed spaces. A game-theoretic approach and mathematical methods of the theory of hydraulic networks for finding an equilibrium state in flow-distribution networks have been developed. An algorithm for solving the evacuation problem using the graph approach is proposed.
  • 关键词:Mathematical modeling;graph;method;algorithm;maximum flow;evacuation
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