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 7 Comparison of trained parameters along with their fitness for GA and GA-SQP algorithms in case of problem 4

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	t ₅	t ₆	ɛ
GA-1	0.46763361	−0.33451289	0.88392240	−0.94239114	−0.00000019	0.00000009	3.2086E−15
GA-2	0.99936492	−0.62752141	−0.03562736	0.77859916	−0.00000002	0.00000126	2.2147E−13
GA-3	0.24762472	0.95525282	0.96885624	−0.29579072	−0.00000035	0.00000019	5.1515E−14
GA-4	−0.05955973	−0.91317817	−0.99822579	0.40756671	0.00000306	−0.00000217	6.6386E−12
GA-5	−0.91497150	−0.59493980	−0.40351842	−0.80377028	0.00000008	−0.00000018	2.9425E−15
GA-6	0.00637146	0.92806866	0.99997967	−0.37240907	0.00000066	0.00000061	1.4258E−13
GA-7	0.70302906	−0.48804791	−0.71116111	0.87281683	0.00000002	−0.00000003	1.9908E−16
GA-8	−0.39538307	0.98389132	0.91850661	−0.17866286	0.00004137	−0.00000002	5.2853E−10
GA-9	−0.88160354	0.49496188	−0.47199049	−0.86891466	0.00000031	−0.00000009	1.7079E−14
GA-10	0.60385584	−0.97776199	0.79709341	−0.20971714	0.00000222	0.00000171	7.0492E−13
GA-11	−0.81473843	0.27084100	0.57982768	0.96262427	−0.00000213	0.00000511	3.8003E−12
GA-12	0.70613629	−0.93203731	−0.70808850	−0.36240691	0.00008539	−0.00002124	1.1376E−09
GA-SQP-1	0.28971734	0.00668370	0.95711225	0.99997766	0.00000000	0.00000000	8.4176E−24
GA-SQP-2	0.64464707	−0.70847890	−0.76448032	0.70573200	0.00000000	0.00000000	1.4960E−23
GA-SQP-3	0.21239967	0.58108779	−0.97718288	0.81384088	0.00000000	0.00000000	5.3650E−24
GA-SQP-4	−0.99315627	0.58140420	0.11679307	−0.81361487	0.00000000	0.00000000	1.0099E−23
GA-SQP-5	0.91699104	0.89690900	0.39890780	0.44221515	0.00000000	0.00000000	1.8177E−22
GA-SQP-6	−0.22521963	0.57489425	0.97430802	0.81822772	0.00000000	0.00000000	4.3799E−23
GA-SQP-7	−0.97134152	0.04316905	−0.23768813	0.99906778	0.00000000	0.00000000	3.1433E−23
GA-SQP-8	−0.57465370	−0.99701922	−0.81839668	−0.07715361	0.00000000	0.00000000	5.2944E−23
GA-SQP-9	0.81550584	−0.34778348	0.57874884	0.93757488	0.00000000	0.00000000	3.1435E−23
GA-SQP-10	−0.97410591	0.98078519	−0.22609217	0.19509079	0.00000000	0.00000000	1.5465E−23
GA-SQP-11	−0.60502940	−0.52408103	−0.79620313	0.85166840	0.00000000	0.00000000	1.0865E−22
GA-SQP-12	0.96895420	−0.90489448	−0.24724029	−0.42563598	0.00000000	0.00000000	1.4094E−23

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