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Introduction to Simulation

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Introduction to Simulation

Simulation

CHAPTER 1 INTRODUCTION TO SIMULATION MODELING

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Simulation ModelingParadigm 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

CHAPTER 1 INTRODUCTION TO SIMULATION MODELING 8

• Simplification•Abstraction

•AssumptionsReal 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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1q

q q

W W

L W

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Single Stage Queuing Model

1W

L W

1

)( nNPn

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 ProblemEstimate 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.

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Ready simulators – specific tasksEnergy 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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