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An optimal control approach for rescue process during a fire disaster.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

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.

Abstract [sv]

I detta arbete syftar vi på att konstruera en realistisk model av en brandsituation, där

räddning av civila tas i beaktande. Genom införande av en leader-follower idé, formulerar

vi det till ett optimeringsproblem. Vilken vi då försöker lösa med optimerings metoder

och eventuellt med vissa heuristiska metoder. Den resulterande lösning kan då bearbetas

och analyseras för inspirerande av handlande i verkliga situationerna.

För att nå fram till våra målsättningar, introducerar vi en följare med hjälp av den så

kallade ’social force’ modelen. Leadaren i simuleringen representerar en brandman

i en verklig situation som påverkas av tre olika typer av civila, nämligen barn, vuxna

och äldre dvs följarna. Genom att konstruera en karta över platsen där brand sker,

fastställer vi hinder och faran över karta. Med all realisering i hand formulerar vi optimerings

problemet där framförallt faran och avståndet till utgången ska minimeras för

alla agenter. Problemet kommer att bli svårlöst analytiskt. För att komma fram till

en lösning kommer vi därför att studera locala minimum och numeriska lösningar till

problemet.

Place, publisher, year, edition, pages
2014. , 35 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-147922OAI: oai:DiVA.org:kth-147922DiVA: diva2:733275
Supervisors
Available from: 2014-07-08 Created: 2014-07-08 Last updated: 2014-07-08Bibliographically approved

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Xiao Chen & Fredrik Isaksson kandidatexamensarbete(2049 kB)171 downloads
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