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Unformatted text preview: Distribution Actual Data e OU Fitting Distribution Pearson III Distribution f Figure 8: Comparison of Actual Inter-arrival Times, OU Fitting Distribution, and Negative Exponential Distribution (a (Logarithmic Scale), b), Normal Distribution (c (Logarithmic Scale), d), Pearson Type III Distribution (e (Logarithmic Scale), f) for 581 vehicles/hour/driving lane 46 120.00% 80.00% 120.00% 100.00% N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph Cumulative Percentage Cumulative Percentage 100.00% 60.00% 40.00% 20.00% 80.00% N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph 60.00% 40.00% 20.00% 0.00% 0.00% 0.01 0.1 1 10 0 100 10 20 30 Actual Data OU Fitting Distribution Actual Data Negative Exponential Distribution Cumulative Percentage Cumulative Percentage 40.00% 20.00% Negative Exponential Distribution 60.00% N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph 40.00% 20.00% 0.00% 0.1 Actual Data 1 10 100 0 5 10 15 20 25 30 Interarrival Time (sec) OU Fitting Distribution Normal Distribution Actual Data OU Fitting Distribution c Normal Distribution d 120.00% 120.00% 100.00% Cumulative Percentage Cumulative Percentage 90 80.00% Interarrival Time (sec) N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph 40.00% 20.00% 0.00% 0.01 80 100.00% N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph 60.00% 60.00% 70 120.00% 100.00% 80.00% 60 b 120.00% 0.00% 0.01 50 OU Fitting Distribution a 80.00% 40 Interarrival Time (sec) Interarrival Time (sec) 100.00% 80.00% 60.00% N = 174 Average = 5.202 sec Standard Deviation = 3.876 sec No. of Vehicles = 698 vph 40.00% 20.00% 0.00% 0.1 1 10 100 0 5 10 Interarrival Time (sec) Actual Data OU Fitting Distribution Pearson III Distribution 15 20 25 30 35 40 45 Interarrival Time (sec) Actual Data e OU Fitting Distribution Pearson III Distribution f Figure 9: Comparison of Actual Inter-arrival Times, OU Fitting Distribution, and Negative Exponential Distribution (a (Logarithmic Scale), b), Normal Distribution (c (Logarithmic Scale), d), Pearson Type III Distribution (e (Logarithmic Scale), f) for 698 vehicles/hour/driving lane 47 100.00% 80.00% Cumulative Percentage 120.00% 100.00% Cumulative Percentage 120.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph 60.00% 40.00% 20.00% 80.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph 60.00% 40.00% 20.00% 0.00% 0.00% 0.01 0.1 1 10 100 0 1000 50 100 150 Actual Data OU Fitting Distribution 200 Actual Data Negative Exponential Distribution OU Fitting Distribution a 80.00% Cumulative Percentage Cumulative Percentage 400 450 Negative Exponential Distribution 100.00% 60.00% 40.00% 80.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph 60.00% 40.00% 20.00% 20.00% 0.00% 0 .00% 0.01 0.1 1 10 100 0 1000 20 40 60 Actual Data OU Fitting Distribution 80 100 120 140 160 180 Interarrival Time (sec) Interarrival Time (sec) Actual Data Normal Distribution OU Fitting Distribution c Normal Distribution d 120.00% 120.00% 100.00% 100.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph Cumulative Percentage Cumulative Percentage 350 120.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph 100.00% 60.00% 40.00% 20.00% 80.00% 60.00% N = 37 Average = 24.45 sec Standard Deviation = 27.65 sec No. of Vehicles = 152 vph 40.00% 20.00% 0.00% 0.01 300 b 120.00% 80.00% 250 Interarrival Time (sec) Interarrival Time (sec) 0.00% 0.1 1 10 100 1000 0 20 40 Interarrival Time (sec) Actual Data OU Fitting Distribution Pearson Type III Distribution 60 80 100 120 140 160 Interarrival Time (sec) Actual Data e OU Fitting Distribution Pearson Type III Distribution f Figure 10: Comparison of Actual Inter-arrival Times, OU Fitting Distribution, and Negative Exponential Distribution (a (Logarithmic Scale), b), Normal Distribution (c (Logarithmic Scale), d), Pearson Type III Distribution (e (Logarithmic Scale), f) for 152 vehicles/hour/passing lane 48 120.00% 120.00% N = 102 Average = 8.758 sec Standard Deviation = 12.58 sec No. of Vehicles = 419 vph 100.00% Cumulative Percentage Cumulative Percentage 100.00% 80.00% 60.00% 40.00% 80.00% N = 102 Average = 8.758 sec Standard Deviation = 12.58 sec No. of Vehicles = 419 vph 60.00% 40.00% 20.00% 20.00% 0 .00% 0 .00% 0.01 0.1 1 10 100 0 1000 20 40 60 80 100 120 140 160 Interarrival Time (sec) Interarrival Time (sec) Actual Data Actual Data OU Fitting Distribution OU Fitting Distribution a b 120.00% 120.00% 100.00% N = 419 Average = 7.204 sec Standard Deviation = 9.402 sec No. of Vehicles = 419 vph 80.00% Cumulative Percentage Cumulative Percentage 100.00% 60.00% 40.00% 80.00% N = 419 Average = 7.204 sec Standard Deviation = 9.402 sec No. of Vehicles = 419 vph 60.00% 40.00% 20.00% 20.00% 0 .00% 0.00% 0.01 0....
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This document was uploaded on 02/26/2014 for the course E 515 at University of Louisiana at Lafayette.

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