TP%239_f08 - CE 3102 Fall 2008 Thought Problem 9 Light...

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CE 3102 Fall 2008 Thought Problem 9 Light Traffic and the Poisson Process A traffic engineer is designing a traffic signal for an intersection between a major street and a minor street. One of the constraints that must be addressed is that on the minor street there is a driveway 100 feet from the intersection, which should not be blocked by vehicles queuing up during the minor street’s red phase. Traffic on the minor street is light, with an average flow of 240 vehicles/hour, and a queued vehicle takes up 25 feet of road. (a) The engineer is considering using a 30-second red phase for minor street. What is the probability the driveway is blocked? (b) A pedestrian is standing on the side of the minor street, and needs at least a 20 second gap in the traffic to safely cross road. What is the probability the next gap in the traffic stream permits a safe crossing?
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CE 3102 Fall 2008 Thought Problem 9 Solution Let X t denote the number of minor street vehicles arriving at the intersection during an
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TP%239_f08 - CE 3102 Fall 2008 Thought Problem 9 Light...

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