# ps2 - 1.203J 6.281J 13.665J 15.073J 16.76J ESD.216J...

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1.203J / 6.281J / 13.665J / 15.073J / 16.76J / ESD.216J Logistical and Transportation Planning Methods Problem Set #2 Issued: September 25, 2006 Due: October 4, 2006 Problem 1 Mendel arrives at a random time to ride the Lemon Line, on which the intervals between trains are equally likely to be 4, 5 or 6 minutes. a)± What is the probability that he waits between 4 and 5 minutes for the next train? b)± Would the answer to the previous question increase or decrease if the Lemon Line became less variable and all intervals between trains were exactly 5 minutes? Intuitively, why does the answer move in that direction? Problem 2 In an urban region with the triangular shape shown in Figure 1, demand for a certain service is distributed uniformly throughout the region. Travel is according to the right-angle metric, with directions of travel parallel to two of the sides of the triangle. Distances are given in miles. Each point of the urban region is described by its coordinates along the x and the y axis. For example, A is (1,0).

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ps2 - 1.203J 6.281J 13.665J 15.073J 16.76J ESD.216J...

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