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Table 1.

A summary of some improved variants of the slime mold algorithm, including their names, improvement ideas, and the source of the algorithms.

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Table 1 Expand

Fig 1.

Slime mold search optimal solution and the CVRP solution path.

The nodes in the graph represent the possible optimal solutions in the slime mould search process; the nodes in the b graph represent the client nodes in the CVRP problem.

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Fig 2.

Flowchart of SMA-CSA.

The annealing mechanism is in the red dotted box.

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Table 2.

Single-modal benchmark functions.

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Table 2 Expand

Table 3.

Multimodal benchmark function.

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Table 4.

Algorithms-specific parameter settings.

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Table 5.

Comparison results on benchmark functions with traditional algorithms.

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Fig 3.

The convergence behavior of the comparative methods using CEC2013 problems.

F1-F7 are single-modal benchmark functions; F8-F13 are multimodal benchmark functions; and F14-F23 are composite benchmark functions.

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Fig 3 Expand

Table 6.

Comparison of benchmark function results between traditional algorithms with 60 dimensions.

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Table 7.

Comparison of benchmark function results between improved algorithms.

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Table 8.

Comparison results on Wilcoxon rank sum test with algorithms.

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Table 9.

Comparison results on Friedman’s ranking test with traditional algorithms.

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Table 10.

Comparison results on Friedman’s ranking test with traditional algorithms with 60 dimensions.

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Table 11.

Comparison results on Friedman’s ranking test with advanced algorithms.

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Fig 4.

Fitness values obtained by SMA, SMA+SA, SMA+CM and SMA-CSA.

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Fig 5.

Flowchart of SMA-CSA for CVRP.

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Fig 5 Expand

Fig 6.

Swap example diagram.

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Fig 7.

2-opt example diagram.

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Fig 8.

3-opt example diagram.

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Table 12.

Algorithms-specific parameter settings.

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Table 13.

Comparison results on Christofides’s benchmark datasets of CVRP with advanced algorithms.

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Table 14.

Comparison results on Golden’s benchmark datasets of CVRP with advanced algorithms.

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Fig 9.

Comparison of results between SMA and SMA-CSA in C5 and GWKC4 examples.

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Fig 9 Expand

Fig 10.

Results when one of the local search or mutation strategies is unused on C5 and GWKC4.

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