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 9P
To determine
The distribution of new shopping trips for bus and auto for first and second shopping store.
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[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 - 200
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?
A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak-hour social/recreational trips if employment in the area increased by 20% and household income by 10%.
number of peak-hour vehicle-based social/recreational trips per household = 0.04 + 0.018(household size) + 0.009(annual household income [in thousands of dollars]) + 0.16(number of nonworking household members)
Round off final answers to whole number.
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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- Two routes connect a city and suburb. During the peak-hour morning commute, a total of 5000 vehicles travel from the suburb to the city. Route 1 has a 50km/hr speed limit and 5km in length, Route 2 has a 55km/hr speed limit and 4 km in length. Studies show that the total travel time on route 1 increases 2 mins for every extra 500 vehicles added. Mins of travel time on route 2 increase with the square of the no. of vehicles expressed in 000’s. Determine user equilibrium travel times.arrow_forwardDetermine 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 tpdarrow_forward12) List and define the 4 steps of the "4-step travel demand model" used in transportation planning.arrow_forward
- A ferry boat queuing lane holds 30 vehicles. If the service rate is a uniform deterministic 4 vehicles per minute and service begins when the lane reaches capacity, what is the uniform deterministic arrival rate if the queue dissipates 30 min. after vehicles begin to arrive?arrow_forwardVehicles arrive to a bridge at a rate of 24 vehicles per minute. The capacity of the bridge is typically 3000 veh/hour, but is reduced to 941 veh/hour for 12 minutes. What is the duration of the queue that forms on the bridge in minutes? Answer 15.8 minsarrow_forwardGiven that a zone has 200 households with car and 200 households without car and the average trip generation rates for each groups are respectively 4.0 and 2 trips per day. Assuming that in the future, all household will have a car, find the growth factor and future trips from that zone, assuming that the population and income remains constant.arrow_forward
- Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between arrivals is exponentially distributed). The parking facility has a policy that the average time a patron spends in a queue waiting to pay for parking isnot to exceed 5 seconds. If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, what is the smallest number of paymentprocessing booths that must be open to keep the average time spent in a queue below 5 seconds?arrow_forwardA study showed that during the peak-hour commute on two routes connecting a suburb with a large city, there are a total of 5500 vehicles that make the trip. Route 1 is 7 miles long with a 65-mi/h speed limit and route 2 is 4 miles long with a speed limit of 50 mi/h. The study also found that the travel time on route 2 increases with the square of the number of vehicles, while the route 1 travel time increases two minutes for every 500 additional vehicles added. Determine the user-equilibrium travel time in minutes.arrow_forwardThree 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.arrow_forward
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