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

Introduction to Simulation

Simulation CHAPTER 1 INTRODUCTION TO SIMULATION 2 MODELING

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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 4 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

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System vs. Its Model • Simplification • Abstraction Model Real System • Assumptions 8 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

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Model Classification Physical (prototypes) Descriptive (performance analysis) Analytical (mathematical) Computer Prescriptive (optimization) (Monte Carlo Simulation) 10 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

Physical (Prototypes) 11 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

Analytical (Mathematical)    1    Single Stage Queuing Model W W   q       2    L W   q q        1   W           L W P ( N n )    n       1 CHAPTER 1 INTRODUCTION TO SIMULATION 12 MODELING

Computer (Monte Carlo Simulation) 13 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

Descriptive (Performance analysis) Simulation vs. Real World 14 CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

Prescriptive (Optimization) CHAPTER 1 INTRODUCTION TO SIMULATION 15 MODELING

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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 of the Buffle Needle problem. CHAPTER 1 INTRODUCTION TO SIMULATION 18 MODELING

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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 CHAPTER 1 INTRODUCTION TO SIMULATION 22 MODELING