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Simulation and Analysis of a Golf Course
Sarah Daugherty MSIM 852 December 3, 2007
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Simulated System Dynamics
9 hole course Tee times: exp(11) minutes Since golfers can begin to play a hole before the golfers in front of them finish it, each hole divided into parts: Tee Fairway (Par 3 = 0; Par 4 = 1; Par 5 = 2) Green USGA averages for pace of play Par 4 = 15 minutes for group of 3 to 4 golfers
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Implementation Arena Lessons learned: Next time:
Golf course modeling is complicated since players can start before others are finished on the same hole. Next time: Gather actual waiting times for each hole and fit to a distribution.
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Results 40 Replications Average course waiting time: 11.08 minutes
Average number of players per day: 44
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Analysis: Confidence Interval
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Analysis: Initial Transient
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Analysis: Batch Means Confidence intervals are getting larger
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Analysis: Autoregressive
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Analysis: Control Variates
Y = exp(0.412) Y does not explain X because: We expect:
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Analysis: ANOVA Introduced new system with tee times exp(9) minutes.
F crit is not very big Implies treatments are similar, not different
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Analysis: Paired Samples
Confidence interval shrinks for Difference
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Questions/Discussion
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