Journal of the Operational Research Society

FIGURES AND TABLES

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Efficient heuristics for the rectilinear distance capacitated multi-facility Weber problem

N Aras, M Orbay and I K Altinel

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Figure 1 - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Figure 1.

Intersection points and the convex hull of an eight-customer problem.

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Figure 2 - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Figure 2.

An illustration for the cellular heuristic.

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Table 1 - Cluster centers for I22, I23, I24, and I25 - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 1 - Cluster centers for I22, I23, I24, and I25.

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Table 2 - Available instances from the literature - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 2 - Available instances from the literature.

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Table 3 - Randomly generated instances - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 3 - Randomly generated instances.

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Table 4 - Results of the two-phase heuristic - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 4 - Results of the two-phase heuristic.

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Table 5 - Robustness of the two-phase heuristic - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 5 - Robustness of the two-phase heuristic.

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Table 6 - Results of the p-median heuristic - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 6 - Results of the p-median heuristic.

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Table 7 - Results of the cellular heuristic for 25 cells - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 7 - Results of the cellular heuristic for 25 cells.

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Table 8 - Results of the cellular heuristic for 36 cells - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 8 - Results of the cellular heuristic for 36 cells.

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Table 9 - Comparison of the heuristics - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 9 - Comparison of the heuristics.

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Table 10 - Results of the LH when upper bounds are obtained by solving the transportation problem - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 10 - Results of the LH when upper bounds are obtained by solving the transportation problem.

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Table 11 - Results of the LH when upper bounds are obtained by the two-phase heuristic - Unfortunately we are unable to provide accessible alternative text for this. If you require assistance to access this image, please contact help@nature.com or the author

Table 11 - Results of the LH when upper bounds are obtained by the two-phase heuristic.

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