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Table 12 Comparison of results on the basis of statistical performance indices for truncated 75% independent runs with better fitness

From: Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models

Methods Problem-1 Problem-2 Problem-3 Problem-4 Problem-5 Problem-6
Mean STD Mean STD Mean STD Mean STD Mean STD Mean STD
GA-1 3.6E−03 1.6E−03 1.5E−07 9.4E−08 8.5E−04 3.6E−04 5.5E−10 1.2E−09 5.3E−05 3.2E−05 5.6E−05 1.5E−04
GA-2 2.6E−03 1.7E−03 1.9E−07 1.2E−07 5.5E−03 6.1E−03 2.2E−08 7.5E−08 2.8E−05 1.6E−05 2.4E−05 4.0E−05
GA-3 5.4E−03 1.3E−03 7.3E−04 6.1E−04 1.9E−03 1.0E−03 5.7E−07 1.6E−06 1.0E−03 9.0E−04 2.0E−03 3.4E−03
GA-4 5.2E−03 1.7E−03 5.3E−06 3.3E−06 5.5E−03 5.3E−03 3.3E−07 5.6E−07 1.2E−04 6.7E−05 8.6E−04 8.1E−04
GA-5 3.3E−03 1.7E−03 1.2E−07 8.1E−08 8.2E−04 3.9E−04 9.3E−11 2.4E−10 5.4E−05 2.8E−05 4.1E−05 1.2E−04
GA-6 2.8E−03 1.8E−03 1.6E−07 9.6E−08 5.6E−03 6.4E−03 1.6E−09 6.2E−09 3.0E−05 1.6E−05 1.6E−05 2.4E−05
GA-7 5.4E−03 1.5E−03 5.0E−04 4.6E−04 1.7E−03 7.7E−04 3.1E−07 5.8E−07 6.5E−04 5.1E−04 9.5E−04 1.8E−03
GA-8 5.2E−03 1.6E−03 4.9E−06 3.1E−06 7.4E−03 6.8E−03 1.5E−06 3.0E−06 1.1E−04 6.0E−05 1.1E−03 1.2E−03
GA-9 3.5E−03 1.9E−03 7.0E−07 4.1E−07 1.0E−03 4.7E−04 1.1E−09 2.4E−09 8.1E−05 4.5E−05 5.5E−05 8.3E−05
GA-10 3.1E−03 1.9E−03 1.1E−06 5.5E−07 5.7E−03 7.2E−03 1.3E−07 3.8E−07 5.4E−05 3.1E−05 3.6E−04 1.0E−03
GA-11 5.6E−03 1.2E−03 1.4E−03 9.7E−04 2.1E−03 1.0E−03 8.1E−07 1.5E−06 1.1E−03 9.5E−04 5.9E−03 1.4E−02
GA-12 5.3E−03 1.7E−03 2.9E−05 1.8E−05 7.5E−03 6.5E−03 1.2E−06 2.0E−06 2.1E−04 1.3E−04 2.7E−03 4.1E−03
GA-SQP-1 6.9E−17 1.7E−17 1.8E−32 7.0E−33 3.1E−08 5.7E−08 3.9E−22 1.0E−22 1.2E−15 1.3E−15 9.7E−32 6.2E−32
GA-SQP-2 7.0E−17 1.8E−17 1.8E−32 6.8E−33 4.1E−08 6.7E−08 4.9E−22 2.9E−22 7.4E−16 5.9E−16 9.5E−32 6.6E−32
GA-SQP-3 7.0E−17 1.7E−17 1.6E−32 5.8E−33 6.2E−09 1.2E−08 4.0E−22 8.8E−23 2.4E−16 3.2E−16 1.1E−31 8.9E−32
GA-SQP-4 6.5E−17 1.8E−17 1.6E−32 7.2E−33 8.4E−09 1.3E−08 3.4E−22 1.3E−22 2.0E−16 2.5E−16 1.0E−31 6.5E−32
GA-SQP-5 6.6E−17 1.5E−17 2.0E−32 8.6E−33 4.1E−08 7.0E−08 4.0E−22 6.8E−23 6.7E−16 6.6E−16 1.1E−31 7.5E−32
GA-SQP-6 6.9E−17 1.7E−17 1.7E−32 8.0E−33 4.2E−08 7.0E−08 8.0E−22 1.3E−21 1.0E−15 1.1E−15 9.2E−32 5.8E−32
GA-SQP-7 6.7E−17 1.8E−17 1.4E−32 5.4E−33 1.2E−08 3.0E−08 4.0E−22 8.2E−23 2.5E−16 3.6E−16 8.0E−32 5.8E−32
GA-SQP-8 6.9E−17 1.8E−17 1.6E−32 6.0E−33 3.5E−08 6.4E−08 3.6E−22 1.2E−22 2.7E−16 4.3E−16 9.1E−32 6.6E−32
GA-SQP-9 6.9E−17 1.6E−17 1.7E−32 7.4E−33 3.4E−08 6.2E−08 3.9E−22 1.2E−22 8.4E−16 1.0E−15 7.8E−32 5.1E−32
GA-SQP-10 6.7E−17 1.7E−17 1.8E−32 7.5E−33 4.9E−08 7.2E−08 1.3E−21 2.2E−21 5.4E−16 4.4E−16 8.2E−32 5.7E−32
GA-SQP-11 6.8E−17 1.5E−17 1.4E−32 5.6E−33 8.8E−09 1.3E−08 3.9E−22 8.8E−23 4.7E−16 6.5E−16 8.5E−32 6.5E−32
GA-SQP-12 6.7E−17 1.9E−17 1.4E−32 6.0E−33 4.4E−08 6.9E−08 3.6E−22 1.4E−22 3.0E−16 4.2E−16 8.7E−32 7.1E−32