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Table 1.

Meanings of model symbols.

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Fig 1.

Schematic diagram of no-fly zones.

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Fig 2.

Schematic diagram of obstacle-avoiding paths.

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Fig 3.

Schematic diagram of 3D no-fly zones.

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Fig 4.

Flight path in three-dimensional space.

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Fig 5.

Relationship between delivery time and penalty cost.

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Fig 6.

Relationship between delivery time and customer satisfaction.

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Table 2.

IKM Pseudo – code.

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Fig 7.

Schematic diagram of elements in the delivery area.

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Fig 8.

Manhattan delivery route.

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Table 3.

Pseudo-code for the UAV matching rules in the third stage.

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Fig 9.

Schematic diagram of chromosome crossover.

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Fig 10.

Schematic diagram of chromosome mutation.

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Fig 11.

Delivery route diagram of Stage 4.

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Table 4.

Basic information of customer points.

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Fig 12.

Locations of open areas and no-fly zones.

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Fig 13.

Distribution of distribution center and customer points.

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Fig 14.

Schematic diagram of cluster centers in Phase 1.

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Table 5.

Customer point clustering results.

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Fig 15.

UAV delivery routes in Phase 2.

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Fig 16.

Initial vehicle delivery routes in Phase 3.

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Fig 17.

Final delivery routes of vehicle-assisted UAVs.

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Table 6.

Vehicle delivery routes.

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Table 7.

Costs and satisfaction of vehicle-assisted UAV delivery.

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Table 8.

Comparison of results under different experimental scenarios.

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Table 9.

Shapiro-Wilk test results.

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Table 10.

t-Test analysis results.

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Fig 18.

UAV-only delivery routes.

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Fig 19.

Vehicle-only delivery routes.

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Table 11.

Comparison of delivery route results under different scenarios.

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Fig 20.

Division map of the delivery area.

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Fig 21.

Final delivery routes for the large-scale instance.

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Table 12.

Delivery plans for different vehicles.

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Table 13.

Costs and satisfaction of vehicle-UAV collaborative delivery.

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Table 14.

Cost comparison under different UAV load capacities.

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Table 15.

Cost comparison under different UAV endurance ranges.

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Table 16.

Cost comparison under different vehicle load capacities.

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