introduction to simulation - jordan university of science ...mzali/courses/fall14/arch...
TRANSCRIPT
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
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING 4
System vs. Its Model
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING 8
• Simplification•Abstraction
•AssumptionsReal System Model
Model Classification
Physical (prototypes)
Analytical (mathematical)
Computer (Monte Carlo Simulation)
Descriptive (performance analysis)
Prescriptive (optimization)
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING 10
Analytical (Mathematical)
2
1q
q q
W W
L W
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING
12
Single Stage Queuing Model
1W
L W
1
)( nNPn
Descriptive(Performance analysis)
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING 14
Simulation
vs.
Real World
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.
CHAPTER 1 INTRODUCTION TO SIMULATION MODELING
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