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Fig 1.

Two bus route plans for an example of school district.

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Table 1.

Parameters and decision variables for homogeneous fleet bus scheduling problem.

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Table 1 Expand

Table 2.

Parameters and decision variables for heterogeneous fleet school bus scheduling problem.

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Table 2 Expand

Table 3.

The school bus scheduling instances HOMO and HETERO.

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Table 3 Expand

Table 4.

CPLEX results for the homogeneous fleet instances.

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Table 5.

CPLEX results for the heterogeneous fleet instances.

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Table 6.

Heuristic results for the homogeneous fleet instances.

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Table 7.

Heuristic results for the heterogeneous fleet instances.

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Fig 2.

Objective difference between metaheuristic and CPLEX solutions for the heterogeneous fleet instances.

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Table 8.

The school bus routing and scheduling instances RSRB and CSCB.

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Table 9.

Results for the RSRB benchmark instances.

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Table 10.

Results for the CSCB benchmark instances.

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Table 11.

Comparison of our algorithm with existing algorithm.

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