Principles of Highway Engineering and Traffic Analysi (NEW!!)
Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Chapter 8, Problem 37P
To determine

The additional vehicle-hours of travel time added to the system assuming user-equilibrium conditions hold.

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8.21 Three routes connect an origin and destination with performance functions t₁ = 2 +0.5x₁,₂ = 1 + x2 and 13 = 4 + 0.2x, (with f's in minutes and x's in thousands of vehicles per hour). Determine user- equilibrium flows if the total origin-to-destination demand is (a) 5000 veh/h.
Two routes connect an origin and a destination and the flow is 15000 veh/h. Route 1 has a performance function t1=4+3*x1, and route 2 has a function of t2=b+6*x2, with the x's expressed in thousands of vehicles per hour and the t's in minutes. (a) If the user equilibrium flow on route 1 is 9780 veh/h, determine the free-flow speed on route 2(i.e. b) and equilibrium travel times. (b) If population declines reduce the number of travelers at the origin and the total origin-destination flow is reduced to 7000 veh/h, determine user equilibrium travel times and flows.
hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium condition
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