An optimal control approach for rescue process during a fire disaster.
Abstract: Abstract This thesis aims to construct a realistic model of a leader led evacuation during a fire. By introducing a leader-follower idea we formulate this as a optimization problem. This is then attempted to be solved by optimization methods and some heuristic methods. The achieved solution can then be studied and analysed for inspiration in decision making in real life situations. To reach these goals, the followers is formulated with a ’social force’ model with a desired direction towards the leader. The leader in the model represent the fireman in a real situation and how he and his decision making is affected by three different kinds of civilians; children, adults and elderly. By constructing a map over the feasible area we define obstacles and the danger in the building. Using these real world constrains we formulate an optimal control problem for the leaders path where the danger and the distance to the exit for all agents are parameters to be minimized. The problem will be hard to solve analytically and thus local minima’s and numerical solutions will be the primary focus.
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