3. Three routes connect an origin-destination pair with performance functions: tị =20 +0.571 t₂ = 4 + 2x2 t3 = 3 +0.2x² with t in minutes and in thousand vehicles per hour. (a) Determine the User Equilibrium flow on each route if q = 4000veh/h. (b) What is the minimum q (origin-destination demand) to ensure that all the three routes are used under user equilibrium? (c) Suppose that Route 1 is closed for repair. Find the system optimal flow on routes 2 and 3 and compute the total travel times.

3. Three routes connect an origin-destination pair with performance functions: tị =20 +0.571 t₂ = 4 + 2x2 t3 = 3 +0.2x² with t in minutes and in thousand vehicles per hour. (a) Determine the User Equilibrium flow on each route if q = 4000veh/h. (b) What is the minimum q (origin-destination demand) to ensure that all the three routes are used under user equilibrium? (c) Suppose that Route 1 is closed for repair. Find the system optimal flow on routes 2 and 3 and compute the total travel times.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter12: Forecasting Travel Demand

Section: Chapter Questions

Problem 23P

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