Introduction to Simulation - Jordan University of Science ...mzali/courses/Fall14/Arch...
Transcript of Introduction to Simulation - Jordan University of Science ...mzali/courses/Fall14/Arch...
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
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• Simplification•Abstraction
•AssumptionsReal System Model
Model Classification
Physical (prototypes)
Analytical (mathematical)
Computer (Monte Carlo Simulation)
Descriptive (performance analysis)
Prescriptive (optimization)
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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
Descriptive(Performance analysis)
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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.
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