8.19 Three routes connect an origin and a destination with performance functions t₁ = 8+ 0.5x1, t2 = 1 + 2x2, and t3 = 3 + 0.75x3, with the x's expressed in thousands of vehicles per hour and the 's expressed in minutes. If the peak-hour traffic demand is 3400 vehicles, determine user-equilibrium traffic flows.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter2: Transportation Systems And Organizations
Section: Chapter Questions
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8.19 Three routes connect an origin and a destination
with performance functions t₁ = 8+ 0.5x1, t2 = 1 +
2x2, and t3 = 3 + 0.75x3, with the x's expressed in
thousands of vehicles per hour and the 's expressed
in minutes. If the peak-hour traffic demand is 3400
vehicles, determine user-equilibrium traffic flows.
Transcribed Image Text:8.19 Three routes connect an origin and a destination with performance functions t₁ = 8+ 0.5x1, t2 = 1 + 2x2, and t3 = 3 + 0.75x3, with the x's expressed in thousands of vehicles per hour and the 's expressed in minutes. If the peak-hour traffic demand is 3400 vehicles, determine user-equilibrium traffic flows.
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