An optimal control approach for rescue process during a fire disaster.
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
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