Highway design for performance
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- HIGHWAY DESIGN FOR PERFORMANCE
- Poisson models for natural events.
- Time between events.
HIGHWAY DESIGN FOR PERFORMANCE You will be permitted to submit this HW with as many as three other CE361 students. If the HW is submitted by more than one student, the signatures of all students in the group must appear (along with printed names) at the top of the front page of the materials submitted. For every problem, identify the problem by its number and name, be clear, be concise, cite your sources, attach documentation (if appropriate), and let your methodology be known. “FTE” = Fundamentals of Transportation Engineering, the textbook for CE361. Poisson models for natural events. A member of the County Highway Department staff discovers a list of Atlantic hurricanes since 1851 at http://weather.unisys.com/hurricane/atlantic/. Having become an expert in the use of Poisson models to analyze traffic, he decides to look at the number of Atlantic storms listed for each year, 1995 to 2009, as a Poisson process. For example, there were 15 Atlantic storms in 2004, ranging from Tropical Storms to five categories of hurricanes. (5 points) For the years 1995-2009, what was the average “arrival rate” for Atlantic storms? (10 points) Given the arrival rate calculated in Part A, calculate P(n) for the range of events per year that appear in the website’s archives for 1995-2009. If you use a spreadsheet, show one P(n) calculation by hand. (5 points) What is the probability that the number of Atlantic storms in 2010 will exceed 18? (10 points) Time between events. Problem 2.48 in FTE. Level of service on rural 2-lane highway. A rural 9.2-mile segment of 2-lane SR361 connects two growing cities in Mythaca County over rolling terrain. The average daily traffic (ADT) on this segment is 8954 vehicles. In addition to the 8 county roads that cross this segment of SR361, there are 25 driveways. The lanes are 12 feet wide and the WB shoulders are 6 feet wide, but the EB shoulders are only 5.3 feet wide. Twenty percent of this segment has no-passing zones. During the peak hour of interest, the K factor is 0.111, the directional distribution is 60/40, 6.6 percent of the traffic is trucks and buses, and 0.6 percent is RVs. Early one morning, the field-measured speed was 55.0 mph, when V = 82 veh/hr, six of which were trucks, with no buses or RVs. (10 points) Determine the average travel speed (ATS). Make a copy of Figure 3.4. Fill in all entries necessary to determine the ATS value for the peak hour on the segment of SR361 described above. For any calculations or decisions/analyses that must be made, show and explain those on a separate sheet of paper. Was a second iteration necessary? (10 points) Determine the percent time spent following (PTSF). Fill in all entries in Figure 3.4 that are necessary to determine the PTSF value for the peak hour on the segment of SR361 described above. For any calculations or decisions/analyses that must be made, show and explain those on a separate sheet of paper. Was a second iteration necessary? (5 points) Determine the level of service for the peak hour on the segment of SR361 described above. Explain or show how you found the LOS. (30 points) I-96 Incident and queueing analysis. FTE Problem 3.19. 10 points for each part, A-C. (15 points) Queueing at drive-up window. FTE Problem 3.28. Download 9.3 Kb. Share with your friends:
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