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CE361 Introduction to Transportation Engineering |Posted: Fri. 14 September 2007 | |

|Homework 4 |Due: Mon. 24 September 2007 |

TRANSPORTATION PLANNING AND DEMAND MODELING

Dear Consultant:

To demonstrate your basic travel demand modeling capabilities, please complete the exercises below completely and clearly. You may work in a group of CE361 students not to exceed four in size. If the HW is submitted by more than one student, the signatures (and printed names) of those students must appear at the top of the front page of the materials submitted.

1. Site-based Trip Generation. The site of interest is the BP/Circle K on the northeast corner of Northwestern and Stadium Avenues. The ITE Trip Generation references you will need are posted here.

A. (5 pts) How large is the building on the site. How did you determine this?

B. (5 pts) How many Fueling Positions are there at the site? How did you determine this?

C. (5 pts) For any four consecutive 15-minute periods between 4 and 6 PM on a weekday, count the number of vehicles entering and exiting the site and report the results in a table with the format shown below. For Parts D, E and F below, do not use the data from this table to influence your answer. Take this HW with you, in case anyone asks why you are taking notes about a gasoline station.

|Day and Date: |Observer(s): |

|15 minutes beginning: |(time) |(time) |(time) |(time) |Total |

|# vehicles entering | | | | | |

|# vehicles exiting | | | | | |

D. (5 pts) Using the Land Use 853 Convenience Market with Gasoline Pumps pages provided from the ITE Trip Generation report, compute T, the expected trips during the PM peak hour of Adjacent Street Traffic. Show your calculations.

E. (5 pts) Using the Land Use 945 Gasoline/Service Station with Convenience Market pages provided from the ITE Trip Generation report, compute T, the expected trips during the PM peak hour of Adjacent Street Traffic. Show your calculations.

F. (5 pts) Which Land Use – 853 or 945 – best describes the BP/Circle K site? Why? Which value of T would you adopt? Why?

2. (10 points) Household-based Trip Generation (Cross-Classification). Zone 9 in Mythaca is largely residential. Your client has provided the zone’s expected household composition in the horizon year to you in Table 2 below. Use the household trip rates in FTE Table 4.2 to estimate the number of home-based trips per day that will be produced by Zone 9.

|Table 2 |

|Vehicles per |Persons per Household |

|HH | |

| |1 |2 |3 |4 |5+ |

|0 |109 |101 |95 |90 |12 |

|1 |151 |260 |165 |138 |82 |

|2 |14 |28 |198 |243 |166 |

|3+ |1 |8 |36 |149 |206 |

3. Zone-based Trip Generation (Regression). MRPC staff members have collected data from ten

|industrial zones. The “T/day” column in Table 3 contains the number of vehicles observed entering or |Table 3 |

|exiting industrial sites in each TAZ on an average workday. The “empls” column contains the number of | |

|employees in each zone. |T/day |

|(5 points) What linear equation of the form T = a + bX best fits the data in Table 3? |empls |

|(5 points) Does the value of b make sense to you? Explain why (not). | |

|(5 points) If a[pic]0 in the best-fit equation, does that make sense to you? Explain why a [pic] 0 is |333 |

|(not) a reasonable value. |51 |

| | |

| |426 |

| |122 |

| | |

| |432 |

| |133 |

| | |

| |510 |

| |143 |

| | |

| |670 |

| |251 |

| | |

| |694 |

| |292 |

| | |

| |735 |

| |313 |

| | |

| |833 |

| |314 |

| | |

| |878 |

| |322 |

| | |

| |975 |

| |338 |

| | |

4. (15 points) Trip Distribution by the Gravity Model. Using acceptable Trip Generation procedures, the recent Middleville Area Transportation Study (MATS) has produced the horizon-year (H-yr) production and attraction totals for each zone, as shown in Table 4a below. MATS has also determined that Fij = 1000 tij-2.5. The H-year tij values are given in Table 4b. (∞ = infinity) Using the new Fij equation and the format of FTE Table 4.9, calculate the predicted values of T31, T32, and T34.

|Table 4a. MATS H-year Productions and Attractions | |Table 4b. H-year Interzonal Travel Times (minutes) |

Zone |1 |2 |3 |4 | |Tij |1 |2 |3 |4 | |Pi |216 |1462 |978 |685 | |1 |∞ |15 |11 |25 | |Aj |1381 |307 |611 |942 | |2 |15 |∞ |7 |14 | | | | | | | |3 |11 |7 |∞ |15 | | | | | | | |4 |25 |14 |15 |∞ | |

5. MNL Mode Choice Model. A group of teachers in the Mythaca School District have agreed to stop commuting by motor vehicle. Instead, each of these teachers will choose each morning between walking and bicycling to school, depending on the weather. The utility functions for the two non-motorized modes for these teachers are:

Ubike = 0.0 - 0.65 tbike - c3 Wbike and Uwalk = +4.9 - 0.65 twalk

where W is a weather-related variable and t is travel time in minutes. W=0 in good weather; W=1 in bad weather.

A. (8 points) When the weather is good, what is the probability that a "non-motorized" teacher with a choice between a 15-minute walk and a 6-minute bike ride will choose the bicycle mode?

B. (7 points) At what value of the weather coefficient c3 will the teacher in Part A be equally likely to choose walk and bicycle in bad weather?

6. Trip Assignment. An expressway connecting Zones 3 and 1 has an LPF t(X) = 8.0 + 5.7 V(X), where V(X) is in 1000s of vehicles per hour in a given direction. The old arterial streets between Zones 3 and 1 are still available, with an LPF of t(A) = 9.9 + 13.5 V(A).

A. (8 points) If all drivers from Zone 3 to Zone 1 want to minimize their individual travel times, at what flow rate V(X) will drivers begin to divert back to the arterial route?

B. (7 points) If T(3,1) = 2663 vph during the peak hour, find the equilibrium travel time from Zone 3 to Zone 1 and calculate V(X) and V(A) for the peak hour.

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