Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 + 2x2, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user- equilibrium traffic flows on each route. [Ans: x₂ = 0.68]

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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4. Three routes connect and origin and a destination with performance functions
t₁ = 8 + x₁, t₂ = 1 + 2x₂, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour
and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user-
equilibrium traffic flows on each route. [Ans: x₂ = 0.68]
Transcribed Image Text:4. Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 + 2x₂, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user- equilibrium traffic flows on each route. [Ans: x₂ = 0.68]
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