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Fig 1.

Urban rail transit hierarchical planning process and research scope of this paper.

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Table 1.

Systematic comparison of related studies.

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Fig 2.

Train operation plan.

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Fig 3.

Train operation plan when z=0.

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Table 2.

Definition of sets and indices.

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Table 3.

Definition of parameters.

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Table 4.

Definition of variables.

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Table 5.

Number of variables and constraints in the model.

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Table 6.

Parameters in algorithms.

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Fig 4.

Distribution of line OD passenger flow during the study period.

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Table 7.

Minimum turn-back time of turn-back stations.

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Table 8.

Alternate routes’ information.

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Table 9.

Rolling stocks’ information.

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Table 10.

Other parameters.

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Fig 5.

Comparison of line planning results.

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Fig 6.

Train capacity and passenger flow demand matching.

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Fig 7.

Mean load factor of section.

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Fig 8.

MCR’s train diagram.

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Fig 9.

MOR’s train diagram.

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Table 11.

MOR’s (MCR’s) rolling stock schedule of turn-back stations.

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Table 12.

Objective function value statistics.

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Table 13.

Fleet size sensitivity analysis.

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Table 14.

Maximum allowable number of routes analysis.

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Fig 10.

Adjustment results of weight factors.

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