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Fig 1.

The relief logistic network.

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Table 1.

Notions for the inventory slack routing problem.

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Fig 2.

Illustration of “Slack” at demand sites.

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Fig 3.

Illustration of the routing sub-problem.

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Fig 4.

Illustration of relief allocation problem.

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Fig 5.

An illustrative example for the hierarchical routing problem.

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Fig 6.

The separation of sub-areas for individual vehicles.

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Table 2.

Delivery quantity arriving at depot in each batch.

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Table 3.

List of dispensing rates and starting inventory levels.

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Fig 7.

Sensitivity analysis of the relaxation parameter r.

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Fig 8.

Resulted vehicle routing plan by the hierarchical routing approach.

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Fig 9.

Resulted vehicle routing plan by the sweep approach.

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Table 4.

Computational results of different approaches.

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