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Fig 1.

Shared manufacturing services composition flowchart.

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Fig 1 Expand

Fig 2.

Relationship between indicators for shared manufacturing services.

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Fig 2 Expand

Table 1.

Evaluation indicators and descriptions of indicators.

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Table 1 Expand

Fig 3.

Service composition and chromosome mapping relationship diagram.

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Fig 3 Expand

Fig 4.

Improved NSGA-II algorithm flowchart.

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Fig 4 Expand

Table 2.

GD and IGD values of the improved NSGA-II algorithm.

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Table 2 Expand

Table 3.

GD and IGD values of the traditional NSGA-II algorithm.

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Table 3 Expand

Fig 5.

The number of iterations required to converge to the optimal solution under different crossover probabilities.

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Fig 5 Expand

Fig 6.

The number of iterations required to converge to the optimal solution under different crossover probabilities.

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Fig 6 Expand

Table 4.

Candidate manufacturing resource service set.

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Table 4 Expand

Table 5.

Candidate manufacturing service upper-level objective function parameters.

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Table 5 Expand

Table 6.

Candidate manufacturing service lower-level objective function parameters.

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Table 6 Expand

Table 7.

Model parameter values.

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Table 7 Expand

Fig 7.

Upper objective function pareto solution set.

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Fig 7 Expand

Table 8.

All candidate service combination schemes.

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Table 8 Expand

Table 9.

Candidate service composition.

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Table 9 Expand

Fig 8.

Comparison of cost convergence curves.

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Fig 8 Expand

Fig 9.

Comparison of time convergence curves.

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Fig 10.

Comparison of convergence curves for quality compliance rate.

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Fig 11.

Using NSGA-II to obtain the optimal solution for iterations of 50, 100, 150, and 200.

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Fig 11 Expand

Fig 12.

Using improve NSGA-II to obtain the optimal solution for iterations of 50, 100, 150, and 200.

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Fig 12 Expand