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Taming ComplexityUsing Modelling and Simulation Sagar Sen Institut Nationale de Recherche en Informatique et Automatique (INRIA) Sophia-Antipolis, France
Getting lost in Phang-Nga Bay
Outline What does complexity mean to you? Why simulate complex behaviour? Simulating models of the real-world Modelling and simulation : The Process Conclusion
1. What does complexity mean to you?
Complexity Around Us Night Sky to the Naked Eye
Complexity Around Us Unravel the infinite universe
Complexity Around Us Ocean currents Our Planet Gauss (Earth’s field strength30 microteslas)
Complexity Around Us Emile Durkheim Society
Complexity Around Us Descartes Ulrich Neisser CognitivePsychology
Complexity Around Us Life
Complexity Around Us Man-madeStuff
Complexity Around Us Molecular Chemistry/Physics/Biology Molecules
Complexity Around Us Atoms
Complexity Around Us Elementary Particles (fermions, bosons,..)
Infinite Complexity Bottom and Top No well-founded theory of fundamental particles No well-founded theory of the universe
The Devil is in the details Satan is keeping us busy exploring  
There are many mansions in the mind of a scientist Nikola Tesla (Inventor)
Experiments Laws of Science  Instruments design Model of the Electric Motor
To Understand And Tame Complexity is Human
Which path? or Voodoo Mad Science
Modelling and Simulation Effective and Harmless (more or less)
Outline What does complexity mean to you? Why simulate complex behaviour? Simulating models of the real-world Modelling and simulation : The Process Conclusion
2. Why simulate or imitate complex behaviour?
Why Simulate? Analysis <=> Design
Why Simulate? Controlled Environment
Why Simulate? Real experiment not ethical
Why Simulate? Evaluate Alternatives 27
Why Simulate? “Do it right the first time!”
Why Simulate? To Predict
Why Simulate? To Optimize a Performance Metric or Fitness
Outline What does complexity mean to you? Why simulate complex behaviour? Simulating models of the real-world Modelling and simulation : The Process Conclusion
3. Simulating models of the real-world
Models
Model Everything! Courtesy: NASA Space Age Swimming
Models in a Modelling Language Modelling Language M English Language Words in English All models m in M
Poetry in English English Language Baa, baa, black sheep,Have youanywool?Yes sir, yes sir,Threebags full.One for my master,One for my dame,And one for the little boyWholives down the lane. Words in English
Simulation of Models Modelling Language M Model variables evolving based on  Navier-Stokes Equations All models m in M
Outline What does complexity mean to you? Why simulate complex behaviour? Simulating models of the real-world Modelling and simulation : The Process Conclusion
4. Modelling and Simulation: The Process
1. Choose a problem that intrigues you Improving Traffic Networks
2. Model in an Appropriate Modelling Language
3. Transform to a Mathematical Formalism Differential  Equations Petri Nets State Machines Causal Block  Diagrams
4. Solve the Mathematical Formulation to Simulate A formulation basically contains variables v1,v2,… and constraints that describe how they change in time Bangalore 2050
Modelling and Simulation Everywhere Vehicle Design Medicine Sports Chemistry Finance Neuroscience Astrophysics Prefix = Computational
Outline What does complexity mean to you? Why simulate complex behaviour? Simulating models of the real-world Modelling and simulation : The Process Conclusion
5. Conclusion
 Conclusion Complexity is everywhere in the real-world Models are abstractions of reality Simulation is the evolution of a model while conforming to a set of laws Many facets of M&S! Model and simulate everything!
Acknowledgements Prof. Hans Vangheluwe,  McGill University and University of Antwerp (Belgium) Dr. Sr. Elizabeth, Principal Prof. Neeta Georphin, HOD, Dept. of Computer Science
Thank You! Then March, 1984 , now January 2010

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Taming Complexity Using Modelling and Simulation