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Fig 1.

The flowchart of ETBBPSO.

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Fig 1 Expand

Table 1.

Experimental functions, the CEC 2014 benchmark functions, the search range for each function is (-100,100), the dimension is 100.

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Table 1 Expand

Table 2.

Experimental results, CE of PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO for f1f15.

Mean is the mean valut from 31 independent runs, STD is the standard deviation of the 31 runs, Rank is the rank of 6 algorithms.

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Table 2 Expand

Table 3.

Experimental Results, CE of PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO for f16f30.

Mean is the mean valut from 31 independent runs, STD is the standard deviation of the 31 runs, Rank is the rank of 6 algorithms. Alvrage rank point is at the bottom of the table.

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Table 3 Expand

Table 4.

Parameters of the CEC2020 test.

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Table 4 Expand

Fig 2.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f1, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 2 Expand

Fig 3.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f2, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 3 Expand

Fig 4.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f3, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 4 Expand

Fig 5.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f4, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 5 Expand

Fig 6.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f5, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 6 Expand

Fig 7.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f6, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 7 Expand

Fig 8.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f7, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 8 Expand

Fig 9.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f8, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 9 Expand

Fig 10.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f9, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 10 Expand

Fig 11.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f10, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 11 Expand

Fig 12.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f11, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 12 Expand

Fig 13.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f12, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 13 Expand

Fig 14.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f13, (a) iteration 0-6000, (b) iteration 6000-10000, the unit is 100 iteration.

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Fig 14 Expand

Fig 15.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f14, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 15 Expand

Fig 16.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f15, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 16 Expand

Fig 17.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f16, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 17 Expand

Fig 18.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f17, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 18 Expand

Fig 19.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO,f18, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 19 Expand

Fig 20.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f19, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 20 Expand

Fig 21.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f20, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 21 Expand

Fig 22.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f21, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 22 Expand

Fig 23.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f22, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 23 Expand

Fig 24.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f23, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 24 Expand

Fig 25.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f24, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 25 Expand

Fig 26.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f25, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 26 Expand

Fig 27.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f26, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 27 Expand

Fig 28.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f27, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 28 Expand

Fig 29.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f28, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 29 Expand

Fig 30.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f29, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 30 Expand

Fig 31.

Comparison of convergence speed between PSO, PBBPSO, DA-BBPSO, DLS-BBPSO, FBBPSO and ETBBPSO, f30, (a) iteration 0-6000, (b) iteration 6000-10000 the unit is 100 iteration.

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Fig 31 Expand

Table 5.

Experimental Results with CEC2020, CEs of BBPSO and ETBBPSO.

Mean is the mean valut from 31 independent runs, STD is the standard deviation of the 31 runs.

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Table 5 Expand