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For railway transportation networks that serve traffic demands for many origin–destination pairs and consist of many railway lines that provide passengers with different choices, this paper proposes a mathematical programming model for optimizing the assignment of tickets among the sections of railway lines. The purpose of the model is to maximize the total passenger turnover or the total number of transported passengers within the capacity constraints of vehicles. A typical numerical example, solved using the linear interactive and general optimizer solver, has been designed to illustrate the proposed model. In addition, the ticket assignment schemes based on different goals are compared.

Using geographic information systems (GIS) network analysis technology, this paper studied the impact of new subway projects on the accessibility of an urban transit network. First, the status quo of public transit accessibility in Changsha City was estimated using two improved accessibility models: the cumulative opportunity measurement model and the gravity measurement model. Second, the topological structural information of the public transit network and basic public transit data were collected from mapping software. GIS technology was used to build the public transit network. According to the schedules of different subway lines projected to open in the next few years, the impedance of the GIS network was adjusted. Finally, the public transit accessibilities at different stages were calculated with the improved measurement model. Based on the accessibility calculation results at different sites, the development of public transit in Changsha was analyzed using a cluster analysis method.

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