9 Each morning during rush hour, 10,000 people want to travel from New Jersey to New York
Question:
9 Each morning during rush hour, 10,000 people want to travel from New Jersey to New York City. If a person takes the subway, the trip lasts 40 minutes. If x thousand people per morning drive to New York, it takes 20 5x minutes to make the trip. This problem illustrates a basic fact of life: If people are left to their own devices, they will cause more congestion than need actually occur!
a Show that if people are left to their own devices, an average of 4,000 people will travel by road from New Jersey to New York. Here you should assume that people will divide up between the subways and roads in a way that makes the average travel time by road average travel time by subway. When this “equilibrium” occurs, nobody has an incentive to switch from road to subway or subway to road.
b Show that the average travel time per person is minimized if 2,000 people travel by road.
Step by Step Answer:
Operations Research Applications And Algorithms
ISBN: 9780534380588
4th Edition
Authors: Wayne L. Winston