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Fig 1.

Flowchart of ant colony optimization algorithm.

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Fig 2.

Retailers location map.

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Fig 3.

Sum of squared error of various clusters.

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Fig 4.

Result of common K-Means.

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Fig 5.

Result of ACO.

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Table 1.

K-Means distribution centres.

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Table 2.

ACO distribution centres.

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Fig 6.

Result of PSO K-Means.

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Table 3.

PSO K-Means distribution centres.

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Fig 7.

Result of MFOA K-Means.

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Table 4.

MFOA distribution centres.

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Table 5.

Comparable indicators of the four algorithms.

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Fig 8.

Comparison of the four results.

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Fig 9.

Three optimal clustering algorithms iteration result.

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