Table 2 Comparison between the SEA and...

Table 2

Comparison between the SEA and VNS-IA

No.	N/k_q/k_y/k_a	SEA		VNS-IA		Gap1 (%)
No.	N/k_q/k_y/k_a	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	Gap1 (%)
1	10/1/3/3	5.56	2.15	5.56	7.94	0.00
2	10/1/3/4	5.01	0.98	5.01	7.13	0.00
3	10/1/3/5	3.59	0.49	3.59	8.79	0.00
4	10/1/3/6	3.61	0.14	3.61	6.56	0.00
5	10/2/6/6	5.32	0.11	5.32	4.74	0.00
6	10/2/6/7	5.53	0.10	5.53	4.75	0.00
7	10/2/6/8	3.25	0.08	3.25	3.84	0.00
8	10/2/6/9	3.17	0.02	3.17	0.00	0.00
9	15/1/3/3	–	–	10.16	12.55	–
10	15/1/3/4	–	–	7.40	11.55	–
11	15/1/3/5	–	–	5.85	11.26	–
12	15/1/3/6	5.19	7024.97	5.59	6.85	−7.16
13	15/2/6/6	–	–	8.62	4.83	–
14	15/2/6/7	9.05	34630.42	9.28	3.57	−2.48
15	15/2/6/8	7.85	5002.42	8.40	6.60	−6.55
16	15/2/6/9	7.87	640.28	8.33	5.89	−5.52
17	20/2/6/6	–	–	10.89	8.05	–
18	20/2/6/7	–	–	12.62	7.63	–
19	20/2/6/8	–	–	12.87	7.33	–
20	20/2/6/9	–	–	11.93	5.53	–

No.	N/k_q/k_y/k_a	SEA		VNS-IA		Gap1 (%)
No.	N/k_q/k_y/k_a	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	Gap1 (%)
1	10/1/3/3	5.56	2.15	5.56	7.94	0.00
2	10/1/3/4	5.01	0.98	5.01	7.13	0.00
3	10/1/3/5	3.59	0.49	3.59	8.79	0.00
4	10/1/3/6	3.61	0.14	3.61	6.56	0.00
5	10/2/6/6	5.32	0.11	5.32	4.74	0.00
6	10/2/6/7	5.53	0.10	5.53	4.75	0.00
7	10/2/6/8	3.25	0.08	3.25	3.84	0.00
8	10/2/6/9	3.17	0.02	3.17	0.00	0.00
9	15/1/3/3	–	–	10.16	12.55	–
10	15/1/3/4	–	–	7.40	11.55	–
11	15/1/3/5	–	–	5.85	11.26	–
12	15/1/3/6	5.19	7024.97	5.59	6.85	−7.16
13	15/2/6/6	–	–	8.62	4.83	–
14	15/2/6/7	9.05	34630.42	9.28	3.57	−2.48
15	15/2/6/8	7.85	5002.42	8.40	6.60	−6.55
16	15/2/6/9	7.87	640.28	8.33	5.89	−5.52
17	20/2/6/6	–	–	10.89	8.05	–
18	20/2/6/7	–	–	12.62	7.63	–
19	20/2/6/8	–	–	12.87	7.33	–
20	20/2/6/9	–	–	11.93	5.53	–

Note(s): $G a p 1 = \frac{f_{S E A} − f_{V N S − I A}}{f_{V N S − I A}} \times 100 %$ ⁠. ”—” means the number of solutions exceeds the computational space

Source(s): Own elaboration

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