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 rightangle
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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 Fall '06
 hansman
 random demand

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