A multiple regression analysis shows the following relationship for the number of trips per household.  T = 0.82 + 1.3P + 2.1A Where       T = number of trips per household per day   P= number of persons per household                     A= number of autos per household If a particular TAZ contains 250 households with an average of 4 persons and 2 autos for each household, determine the average number of trips per day in that zone

A 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 13

Q1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low Persons/household 1 2 3 4 5 or more No. of hh Trip No. No. of hh 93 222 149 72 341 138 59 417 125 120 1010 109 13 107 37 Income Medium The forecasted number of households in the study area for a target year is shown below. Low 120 100 90 150 30 Trip No. 616 853 1025 1186 457 High No. of hh Trip No. 96 360 27 205 33 381 40 471 33 423 Income Medium 280 220 190 180 60 High 130 40 50 70 60 (a) Calculate the forecasted number of trips for each combination of the number of persons per household and the level of household income. (b) Alternatively, trip rate can be estimated using the following linear regression equation. Trip rate=0.46+ 1.96 × NPERSON + 1.66 x HINCOME Where NPERSON = no. of persons per household (= 5 for 5 or more persons in household); HINCOME = level of household income (= 0 for low…

8.18 Two routes connect an origin and a destination. Routes 1 and 2 have performance functions t₁ = 2 + x₁ and t₂ = 1 + x2, where the 's are in minutes and the x's are in thousands of vehicles per hour. The travel times on the routes are known to be in user equilibrium. If an observation for route 1 finds that the gaps between 30% of the vehicles are less than 6 seconds, estimate the volume and average travel times for the two routes. (Hint: Assume a Poisson distribution of vehicle arrivals, as discussed in Chapter 5.)

A 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.

The following 3 Travel Demand Forecasting models were created to estimate the number of peak-hour trips in the suburb of Croydon: T1 = 1.0 + 0.3(household size) + 0.01(household income in thousands of $) T2 = 1.5 + 0.2(household size) + 0.01(household income in thousands of $) T3 = 0.5 + 0.5(household size) + 0.01(household income in thousands of $) The suburb has a total of 3500 households with an average of 4 people per household, an average household income of $90,000 and survey data shows that it generates a total of 11,550 trips in the peak-hour. Which of the above models is the most accurate?   A. T1 B. T2 C. T3 D. Can't say as 2 or more models are equally accurate.

A zone has been divided into four large districts (traffic zones). The following data has been collected for those districts. Provide a trip distribution calculation (single constrained) using the gravity model. Assume Kij = 1 (Check balancing of Tij = A after the first iteration) District 1 2 3 4 Travel Time Fij Productions 3400 6150 3900 2800 1 2.0 Attractions 2800 6500 2550 4400 4 1.6 6 1.0 1 4 11 15 10 9 10 0.9 0.86 Travel time (min) 2 3 11 15 6 6 6 6 9 11 11 12 0.82 0.80 4 10 9 11 4 15 20 0.68 0.49

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.)

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.

Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and rounded