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Fig 1.

Railway transport planning process.

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Table 1.

Summary of relevant studies.

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Fig 2.

Three levels of the network in high-speed railways.

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Table 2.

Subscript, parameters and variables used in the formulation.

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Fig 3.

An illustration for timetable with multiple train types.

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Fig 4.

Departure headway in different situation of train stops.

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Fig 5.

Arrival headway in different situation of train stops.

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Table 3.

Four types of departure headway according to the value of and .

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Table 4.

Four types of arrival headway according to the value of and .

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Fig 6.

Beijing-shanghai high-speed railway corridor.

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Table 5.

Train operating information from the original timetable.

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Table 6.

Train types according to train operating speed and terminal stations.

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Table 7.

Pure running time of trains in each section for both speed classes.

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Table 8.

Other parameters in model.

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Fig 7.

Optimized train stop plan of Beijing–Shanghai high-speed railway.

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Table 9.

Comparison of evaluation indexes for original and optimized stop plans.

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Table 10.

The average seat occupancy of each train type.

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Fig 8.

Changes in the frequency of stops at each station and the connection with passenger flow.

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Fig 9.

Time-distance diagram of optimized timetable.

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Table 11.

Comparison of evaluation indexes for original and optimized timetables.

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Table 12.

The actual and expected departure times of each train from the origin station.

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Fig 10.

Contrast between train travel time and departure time deviation.

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Table 13.

The results of the series of experiments.

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