An Introduction to Matrix Theory for Passenger Trains
August 31st, 2000
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Dr. Adrian Herzog, VP Research, URPA
The potential ridership on any given transportation system can be accurately modeled mathematically. We begin by modeling a single route going from location A to location B. Such a non-stop system models non-stop long distance air service and express non-stop rail service. Only two “routes” are possible in such a system, from A to B and from B back to A. One might argue that this represents only one round trip market. However, since the demographics of A and B are often quite different, each direction represents a different market to be exploited.
