Simulation Simulation CHAPTER 1 INTRODUCTION TO SIMULATION 2 - - PowerPoint PPT Presentation
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
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)
2
1
q q q
W W L W
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Single Stage Queuing Model 1 W L W
1 ) ( n N P
n
Computer
(Monte Carlo Simulation)
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Descriptive (Performance analysis)
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Simulation vs. Real World
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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