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Fig 1.

Parallel machine scheduling problem model.

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Table 1.

Illustration of machine assignment vector.

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Table 1 Expand

Table 2.

Parameter settings for the five algorithms.

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Table 2 Expand

Table 3.

Comparison between SOS and SA, with SOS as the reference algorithm.

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Table 3 Expand

Table 4.

Comparison between SOS and SOS-LPT algorithms, with SOS-LPT as the reference algorithm.

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Table 4 Expand

Fig 2.

Comparison of SOS and SOS-LPT average CPU execution time.

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Fig 2 Expand

Fig 3.

Percentage deviation of each algorithm with LB as the control algorithm.

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Fig 3 Expand

Table 5.

Experimental results for 15 replicated runs of ACO, ACOII, SOS, and SOS-LPT algorithms.

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Table 5 Expand

Table 6.

Experimental results for 15 replicated runs of SADP, GADP2, SOS, and SOS-LPT algorithms.

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Table 6 Expand

Fig 4.

Percentage deviation of each algorithm with SOS-LPT as the control algorithm.

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Fig 4 Expand

Table 7.

Friedman’s rank test for the 180 instance combination of the benchmarked problem of ACO, ACOII, SOS, and SOS-LPT using their average Cmax values.

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Table 7 Expand

Table 8.

Friedman’s rank test for the 120 instance combination of the benchmarked problem of GADP, SADP, SOS, and SOS-LPT using their average Cmax values.

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Table 8 Expand