There are five possible routes from Shoridan to Mythaca with the following linkperformance functions:t1 = 18 + 4.5x1t2 = 21 + 7.0x2t3 = 26 + 4.9x3t4 = 29 + 3.4x4t5 = 34 + 0.3x5where ti is in minutes and xi is in 1,000 vehicles per hour.a) It is expected that 8,300 vehicles will be making the Shoridan- Mythaca trip in the maximumflow hour, determine the equilibrium flow on the five routes? Will all five routes be used?b) A transportation planner in Mythaca has tried to convert the expected flow and the linkperformance functions above into route floes. His solution includes x1 = 3.50, x2 = 2.82, and x3 =1.58. Do these values seem correct to you?

There are five possible routes from Shoridan to Mythaca with the following linkperformance functions:t1 = 18 + 4.5x1t2 = 21 + 7.0x2t3 = 26 + 4.9x3t4 = 29 + 3.4x4t5 = 34 + 0.3x5where ti is in minutes and xi is in 1,000 vehicles per hour.a) It is expected that 8,300 vehicles will be making the Shoridan- Mythaca trip in the maximumflow hour, determine the equilibrium flow on the five routes? Will all five routes be used?b) A transportation planner in Mythaca has tried to convert the expected flow and the linkperformance functions above into route floes. His solution includes x1 = 3.50, x2 = 2.82, and x3 =1.58. Do these values seem correct to you?

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 4P

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land-use zone consists of 2000 single-family homes, 520 apartment units, and 3 hotels with 600 rooms each. Calculate the daily vehicular traffic generated by this zone, using the following equations: ts = 5+ 7.35US, ta = 7+ 6.25Ua = 2 + 12.00n t₁ = where the subscripts s, a, and h refer to homes, apartments, and hotels, respectively, and t and U refer to trips and housing units, respectively. Why is there a significant difference in trip production among the units?
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An origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and another with a function t₂ = 1 + 2x₂ (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle-minutes), and route flows.
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