Simulation Simulation CHAPTER 1 INTRODUCTION TO SIMULATION 2 - - PowerPoint PPT Presentation

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Simulation Simulation CHAPTER 1 INTRODUCTION TO SIMULATION 2 - - PowerPoint PPT Presentation

Introduction to Simulation Simulation CHAPTER 1 INTRODUCTION TO SIMULATION 2 MODELING CHAPTER 1 INTRODUCTION TO SIMULATION 3 MODELING Simulation Modeling Paradigm that creates simplified representations of complex systems Generates


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Introduction to Simulation

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Simulation

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Simulation Modeling

Paradigm that creates simplified representations of complex systems Generates system histories and observes system behavior and statistics over time Goals are understanding system performance and improving system design

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System vs. Its Model

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  • Simplification
  • Abstraction
  • Assumptions

Real System Model

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Model Classification

Physical (prototypes) Analytical (mathematical) Computer

(Monte Carlo Simulation)

Descriptive (performance analysis) Prescriptive (optimization)

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Physical (Prototypes)

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Analytical (Mathematical)

   

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1

q q q

W W L W                 

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Single Stage Queuing Model 1 W L W           

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           1 ) ( n N P

n

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Computer

(Monte Carlo Simulation)

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Descriptive (Performance analysis)

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Simulation vs. Real World

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Prescriptive (Optimization)

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Simulation by Hand: The Buffon Needle Problem

Estimate π (George Louis Leclerc, c. 1733)

  • Toss needle of length lonto table

with stripes d(>l) apart

  • P (needle crosses a line) =
  • Repeat; tally = proportion of

times a line is crossed

  • Estimate π by

Check this link that illustrates the idea

  • f the Buffle Needle problem.

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Ready simulators – specific tasks Energy Plus

Study the effect of early design decisions such a orientation, shape and façade layout on the energy efficiency of their projects

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