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Fig 1.

The railway service network.

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Fig 2.

Beijing-Guangzhou railway line.

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Fig 3.

Service network for testing the model.

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Table 1.

Information on the shipments.

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Table 2.

Information on the train services.

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Table 3.

The average transfer time of Wuhan North Station and Hengyang North Station from 2005 to 2014.

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Table 4.

Transfer time between arc m and arc n.

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Table 4 Expand

Table 5.

Results of the car-to-train assignment.

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Table 6.

Workloads of the express train arcs.

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Fig 4.

Assignment results of a part of the arcs.

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