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Engineering, 19.02.2020 21:02 pineapplefun

The intersection of Coliseum Avenue and Wakefield Street near Mythaca State University has a signal with a 60-second cycle length. At the start of each cycle, ;a protected left turn phase" is provided for EB traffic on Coliseum that is turning left onto NB Wakefield. This left turn (LT) phase is long enough to allow only 7 vehicles to turn left. Two conditions prevent an easy solution at the intersection: (1) Traffic near the university fluctuates during each hour, depending on the times at which classes begin or end. Between 15 and 25 minutes past each hour on MWF, an average of 9.7 drivers per minute try to enter the LT lane. During the rest of the hour, 5.7 drivers per minute want to turn left. (2) Other approach volumes are too large to permit additional time to be given to the left turns made from the EB approach. What is the probability that the 7-vehicle capacity of the LT lane will be exceeded during any cycle within the 10-minute peak each hour? What is the probability that the 7-vehicle capacity of the LT lane will be exceeded during any cycle during the rest of the hour (the "off-peak" period)?

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The intersection of Coliseum Avenue and Wakefield Street near Mythaca State University has a signal...
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