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

Raja, Muhammad Asif Zahoor; Kiani, Adiqa Kausar; Shehzad, Azam; Zameer, Aneela

doi:10.1186/s40064-016-3750-8

SpringerPlus

Table 2 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 1

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

Method	Proposed solutions				ɛ
Method	t ₁	t ₂	t ₃	t ₄	ɛ
GA-1	−0.999404287	0.999479968	−0.027480501	−1.999042387	1.8262E−08
GA-2	0.979068695	−0.981748424	0.163179035	1.966420060	2.1943E−05
GA-3	0.868284707	0.877541519	0.392426227	−1.784981013	7.0007E−04
GA-4	−0.987183026	−0.987817444	0.124553341	−1.978604103	8.6898E−06
GA-5	−0.990822818	−0.991856983	−0.106387112	1.985169394	4.1780E−06
GA-6	0.999913716	−0.999917219	−0.010038843	1.999856079	3.8862E−10
GA-7	0.966617064	0.970313641	0.198841379	1.946148641	5.2871E−05
GA-8	−0.950190958	0.965065042	−0.277206136	1.925861774	2.0243E−04
GA-9	0.973598309	−0.976106840	0.178440757	1.956961516	3.3514E−05
GA-10	0.999854603	0.999934568	0.017078799	−1.999804148	5.4235E−09
GA-11	−0.812150872	0.832453398	0.475826424	1.699196146	1.2769E−03
GA-12	0.980516502	−0.984157549	−0.162937302	−1.969458167	2.1478E−05
GA-SQP-1	0.999999973	−0.999999974	0.000178418	−1.999999955	3.8017E−17
GA-SQP-2	−0.999999973	−0.999999974	0.000178410	−1.999999955	3.8011E−17
GA-SQP-3	0.999999973	0.999999974	0.000178411	1.999999955	3.8012E−17
GA-SQP-4	−0.999999973	0.999999974	0.000178416	1.999999955	3.8015E−17
GA-SQP-5	−0.999999973	0.999999974	−0.000178417	1.999999955	3.8016E−17
GA-SQP-6	0.999999973	−0.999999974	−0.000178410	1.999999955	3.8011E−17
GA-SQP-7	−0.999999973	0.999999974	−0.000178410	1.999999955	3.8011E−17
GA-SQP-8	0.999999975	−0.999999977	−6.283010586	1.999999959	3.3944E−17
GA-SQP-9	0.999999973	0.999999974	0.000178410	1.999999955	3.8012E−17
GA-SQP-10	−0.999999973	−0.999999974	−0.000178408	1.999999955	3.8010E−17
GA-SQP-11	−0.999999973	0.999999974	0.000178430	1.999999955	3.8025E−17
GA-SQP-12	0.999999973	0.999999974	−0.000178417	−1.999999955	3.8016E−17

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