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a8_cee3604_2011 - Fall 2011 CEE 3604 Introduction to...

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CEE 3604: Introduction to Transportation Engineering Fall 20 11 Assignment 8: intersection Analysis and Queueing Theory Date Due: November 18, 2009 Instructor: Trani Problem 1 The intersection shown in Figure 1 is to be studied for level of service characteristics. The intersection has a cycle length of 55 seconds. After consulting with the traffic engineer in town, you are told the green time for University Avenue traffic is 35 seconds. The intersection has two phases: 1) phase 1 allows green time for the traffic on University Avenue and 2) phase 2 allows green time for traffic on Elmo Street. The traffic flows recorded in a recent survey are shown in Figure 1. Assume that the D/D/1 queueing system adequately describes each lane for each approach at the intersection . In other words, in your analysis assume that each lane is independently studied as a D/D/1 queueing system. Assume no time loss in the cycle. The saturation flows for straight approaches (i.e., when cars move in straight line through the intersection) are 1,900 vehicles per hour. The saturation flows for turning movements are 1,600 veh/hr. a) Estimate the average delay per vehicle for every approach and every lane. Show a set of sample calculations by hand if using a Matlab or Excel. b) Find the average queue length at the end of the red signal for every approach.
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