Skip to main content

View full-text article in PMC

. 2021 Jul 28;112:107725. doi: 10.1016/j.asoc.2021.107725

Table 9.

Pareto solutions and corresponding values of objective functions.

No	$ɛ$ -constraint			NSGA-II			SPEA-II			Relative gap % (NSGA-II)		Relative gap % (SPEA-II)
	$f_{1}$	$f_{2}$	Time (s)	$f_{1}$	$f_{2}$	Time (s)	$f_{1}$	$f_{2}$	Time (s)	$f_{1}$	$f_{2}$	$f_{1}$	$f_{2}$

1	16615.3	40.3	2	16615.3	40.3	2	16615.3	40.3	2	0	0	0	0
2	16621.1	44.8	45	16630.2	44.8	4	16640.6	44.9	6	0.05	0	0.09	0.22
3	16711.2	46.6	63	16719.8	46.8	6	16731.25	46.9	8	0.05	0.4	0.08	0.63
4	16719.0	50.1	96	16724.3	50.9	11	16731.14	51.2	14	0.03	0.7	0.07	0.58
5	16808.6	52.1	164	16842.4	52.2	14	16848.84	52.4	19	0.2	0.1	0.23	0.57
6	29462.2	68.9	617	29470.6	70.9	24	29484.24	71.0	28	0.02	2.8	0.07	2.95
7	29479.8	70.8	1814	29486.6	71.7	29	29496.24	70.9	38	0.02	1.2	0.05	0.14
8	29540.6	73.3	2674	29543.6	73.5	35	29550.25	73.7	44	0.01	0.2	0.03	0.54
9	29570.3	73.5	5629	29581.2	73.9	48	29593.41	74.1	52	0.03	0.5	0.07	0.80
10	29608.3	74.1	10725	29634.4	74.5	55	29661.87	74.8	66	0.08	0.5	0.18	0.93
Ave	23113.6	59.4	2182.9	23124.8	59.95	22.8	23135.31	60.0	27.7	0.049	0.64	0.087	0.73

No	MOIWO			MOGWO			Relative gap % (MOIWO)		Relative gap % (MOGWO)
	$f_{1}$	$f_{2}$	Time (s)	$f_{1}$	$f_{2}$	Time (s)	$f_{1}$	$f_{2}$	$f_{1}$	$f_{2}$

1	16615.3	40.3	2	16615.3	40.3	2	0	0	0	0
2	16625.6	44.8	4	16628.7	44.8	5	0.027	0	0.045	0
3	16714.5	46.7	5	16716.8	46.7	6	0.019	0.214	0.033	0.214
4	16722.0	50.5	11	16724.1	50.8	13	0.017	0.314	0.030	0.436
5	16831.1	52.2	13	16838.3	52.3	15	0.133	0.191	0.176	0.682
6	29466.7	69.4	19	29468.5	69.8	22	0.015	0.720	0.021	1.289
7	29484.3	70.9	22	29484.9	71.0	26	0.015	0.561	0.017	0.281
8	29543.2	73.4	31	29543.5	73.5	34	0.008	0.136	0.009	0.272
9	29576.9	73.7	45	29578.8	73.8	48	0.022	0.271	0.028	0.406
10	29619.5	74.3	50	29628.4	74.5	54	0.037	0.269	0.067	0.536
Ave	23119.9	59.6	20.2	23122.7	59.7	22.5	0.0293	0.267	0.0426	0.411