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

University essay from KTH/Optimeringslära och systemteori; KTH/Optimeringslära och systemteori

Author: Xiao Chen; Fredrik Isaksson; [2014]

Keywords: ;

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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