Abstract
In the railway system, passengers are transported intermittently from one station to another by trains which are operated on a time schedule. The passengers flow is considered as a dynamic one, because both the train schedule and the traffic demands vary as a function of time. From the user's point of view, it is necessary to estimate the passengers flow to evaluate the train schedule quantitatively.
This paper considers the estimation problem of the dynamic passengers flow for such a system. First, a network model which represents the dynamic passengers flow is proposed. Then, it is shown that by the model a dynamic flow can be treated as a static flow without any approximation. Finally, a method for solutions is proposed with an assumption that each passenger chooses a route so as to minimize his travelling time and number of changes.
