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Fig 1.

Later arrival time lead to a bigger replenishment quantity.

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Fig 1 Expand

Fig 2.

Illustration of the dual sourcing inventory routing problem.

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Fig 2 Expand

Fig 3.

Interactions between the master-problem and sub-problems.

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Fig 3 Expand

Fig 4.

An illustration of the ALNS algorithm.

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Fig 4 Expand

Table 1.

Logistic cost gaps between dual-sourcing and single replenishment modes.

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Table 1 Expand

Table 2.

Logistic cost gaps between routing with/without considering inventory cost.

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Table 2 Expand

Table 3.

Logistic cost and replenishment quantity gaps between budget and box uncertainty sets.

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Table 3 Expand

Fig 5.

Routing decisions.

(a) Routing decisions on A-n32. (b) Routing decisions on B-n78.

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Fig 5 Expand

Table 4.

Logistic cost on instance A-n32 with different removal rate and reaction factor.

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Table 4 Expand

Table 5.

Logistic cost on instance B-n78 with different removal rate and reaction factor.

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Table 5 Expand

Fig 6.

Weight of removal/insertion operators in 3000 iterations on instance A-n32.

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Fig 6 Expand

Table 6.

Performance of operators (%IBest/%Usage).

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Table 6 Expand

Table 7.

Performance of ALNS without * operator (Gaps).

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Table 7 Expand

Table 8.

Comparing ALNS with GA.

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Table 8 Expand