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 27P
To determine
The user equilibrium flows and total hourly origin-destination demand after the capacity improvement.
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Three routes connect an origin-destination pair with performance functions:t₁ = 20 +0.5x1t2 = 4+ 2x2t3=3+0.2x3with t in minutes and x 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.
Two routes connect an origin-destination pair with performance functions t₁ = 5 + (x₁/2)² and t₂ = 7+ (x2/4)² (with t's in minutes and x's in thousands of vehicles per hour). It is known that at user equilibrium, 75% of the origin-destination demand takes route 1. What percentage would take route 1 if a system-optimal solution were achieved, and how much travel time would be saved?
Determine the trip distribution matrix using "Gravity Model" of transport system with
given the data:
Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd
Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpd
Chapter 8 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39P
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- After 10 years, the public transportation remain unimproved. The modal split will also remain unchanged with 70% of person-trips utilize Public Transportation during peak period. After 10 years, the person-trip demand will increase from 450 to 675. If the overall capacity of the Public Transportation during peak period can carry up to 450 person-trips, the demand / PT supply capacity ratio is _______ (answer shall be in 2 demical places)arrow_forwardTwo 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.arrow_forwardAfter 10 years, the public transportation remain unimproved. The modal split will also remain unchanged with 70% of person-trips utilize Public Transportation during peak period. After 10 years, the person-trip demand will increase from 450 to 675. If the overall capacity of the Public Transportation during peak period can carry up to 450 person-trips, the demand / PT supply capacity ratio is _______ (answer shall be in 2 demical places) Please correct answerarrow_forward
- (show your solutions) Compute for the Total Remaining Traffic * A.15,858 vehicles B.15,743 vehicles C.15,862 vehicles D.15,750 vehicles E.None of the abovearrow_forward[T] The following table provides hypothetical data regarding the level of service for a certain highway. Plot vehicles per hour per lane on the x-axis and highway speed on the y-axis. Compute the average decrease in speed (in miles per hour) per unit increase in congestion (vehicles per hour per lane) as the latter increases from 600 to 1000, from 1000 to 1500, and from 1500 to 2100. Does the decrease in miles per hour depend linearly on the increase in vehicles per hour per lane? Plot minutes per mile (60 times the reciprocal of miles per hour) as a function of vehicles per hour per lane. Is this function linear? Highway Speed Vehicles per Hour per Lane Density Range (vehicles / mi) > 60 < 600 < 10 60 - 57 600 - 1000 10 - 20 57 - 54 1000 - 1500 20 - 30 54 - 46 1500 - 1900 30 - 45 46 - 30 1900 - 2100 45 - 70 < 30 Unstable 70 - 200arrow_forwardThe demand and supply function for a bridge are the following where C is cost in cents and V is volume in veh / h . Demand V = 1500 - 10C Supply or cost function: C = 120 + 0.5V (a) What is the equilibrium volume of traffic and the associated cost? (b) 20 cents of toll is added to the cost function, what will be the new cost function and the equilibrium volume?arrow_forward
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