Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Question
Chapter 12, Problem 4P
To determine
The number of trips produced for different purposes.
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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
to no congestion on the road further downstream of the railway grade crossing.
QUESTION 5:
Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is
1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes,
respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively.
Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely
proportional to the inter-zonal travel time.
(a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model.
(b) Assume that the future trip production from zone I will increase to 1,250 and the future trip
attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict
the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain
the same.
(c) Compare the number of trips from zone 1 to each destination zone between (a) and (b).
Identify the…
The Jeffersonville Transportation Study Area has been divided into four large districts (traffic zones). The following data have been collected for those districts. Provide a trip distribution calculation using the gravity model for two Assume Kij = 1.
Chapter 12 Solutions
Traffic and Highway Engineering
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Given a table with production and attraction data,...
Ch. 12 - Given a table with production and attraction data,...Ch. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28P
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- The following cross-classification data have been developed for a European city transportation study area. House Hold (HH) Autos/HH (%) Trip Rate/Auto (%) Income Trips (%) ($) High Med Low O1+2 0 1 +2 HBW HBO NHB 10,000 0 30 70 48 48 4 2.0 6.00 28.5 38 34 28 50 | 4 72| 24 2.5 7.5 30.0 38 2 53 45 20,000 30,000 40,000 50,000 50 50 00 19 81 7.5 12.0 39.0 20 50 34 28 10 70 20 4.0 9.0 33.0 35 34 31 20 75 5 1 32 57 5.5 10.5 36.0 27 35 38 37 60,000 70 30 43 40 0010 90 8.0 13.0 41.0 16 44 Develop the family of cross-classification curves and determine the number of trips produced (by purpose) for traffic zone containing 1000 houses with an average household income of $30,000. (Use high = 55,000; medium 25,000; low = 15,000.)arrow_forwardUsing the data on the table, determine the following using transit rule.arrow_forwardA 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.arrow_forward
- A neighborhood has 180 households with the characteristics shown in the table below. A count model for peak-hour work trips is described in the second table. How many trips do you expect from this neighborhood?arrow_forwardA town in Canada has been divided into three traffic zones. An origin-destination survey was conducted earlier this yearand yielded the number of trips between each zone as shown in the table below. Travel times between zones were alsodetermined. Provide a trip distribution calculation using the gravity model for two iterations. Assume Kij= 1.arrow_forwardA small town has been divided into three traffic zones. An origin-destination survey was conducted earlier this year and yielded the number of trips between each zone as shown in the table below. Travel times between zones were also determined. Provide a trip dis- tribution calculation using the gravity model for two iterations. Assume K,= 1. The following table shows the number of productions and attractions in each zone. 3. Total Zone Productions 250 450 300 1000 Attractions 395 180 425 1000 The survey's results for the zones' travel time in minutes were as follows. Zone 1 1 4 2. 4 8. 3. 3. 3. 5 The following table shows travel time versus friction factor. Time (min) 3 4. 6. 7 8. Friction Factor 82 52 50 41 39 26 20 13arrow_forward
- The following socioeconomic data have been collected for the Jeffersonville Transportation Study (JTS). Population = 72,173 Area = 70 square miles Registered Vehicles = 26,685 Single-family housing units = 15,675 Apartment units = 7567 Retail employment = 5502 Nonretail employment = 27,324 Student attendance = 28,551 by zone of attendance Average household income = $17,500 Total traffic zones = 129 The results of the cross-classification analysis are as follows. Total trips produced for study area = 282,150 trips/day Home-to-work trips 13% (36,680) Home-to-nonwork trips 62% (174,933) Non-home trips 25% (70,537) The attraction rates for the study area have been developed using the following assumptions. 100% of home-to-work trips go to employment locations. Home-to-nonwork trips are divided into the following types. Visit…arrow_forwardA large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak hour social/recreational trips If employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household 0.04 + 0.018(household size)+ 0.009(annual household income in thousands of dollars)+ 0.16(number of nonworking household members)arrow_forward4. The number of trips generated by each household h (Yh) in Zone A is given by the following household-level regression model: Yh=2.5+1.5 X₁ + 1.2 X2+ 1.0 X3....where, X₁ =Number of Adults (per household). X2 =Number of Cars in the household. X3 =Income in Thousands ($). a. What is the minimum number of trips made by a household based on the equation? b. For a zone labeled “A”, Table 1 provides total number of households classified by household size and number of cars. It is given that the average household income in this Zone is $55K. Compute the number of trips produced from this zone. Table 1: Household Composition for Zone A Number of cars Person per household per household 1 2 3 0 100 200 150 1 300 500 210 2 150 100 60arrow_forward
- 12) List and define the 4 steps of the "4-step travel demand model" used in transportation planning.arrow_forwardA small town has been divided into three traffic zones. An origin-destination survey was conducted earlier this year and yielded the number of trips between each zone as shown in the table below. Travel times between zones were also determined. Provide a trip dis- tribution calculation using the gravity model for two iterations. Assume K; = 1. The following table shows the number of productions and attractions in each zone. Zone 1 2 3 Total Productions 250 450 300 1000 Attractions 395 180 425 1000 The survey's results for the zones' travel time in minutes were as follows. Zone 1 3 1 6 4 2 2 8 3 3 1 3 The following table shows travel time versus friction factor. Time (min) 1 2 4 7 8 Friction Factor 82 52 50 41 39 26 20 13 2.arrow_forwardA simple road network shown below has two way links. The travel time in minutes for zero volumes is also shown. Using Dijkstras algorithm, determine the following: 1. Minimum path and minimum travel time from zone B to C. Show all necessary diagrams 2. Minimum path and minimum travel time from zone A to D. Show all necessary diagramsarrow_forward
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