Table 3 Comparison of the results of the...

Table 3

Comparison of the results of the VNS and IA with VNS-IA

No.	N/k_q/k_y/k_a	VNS		IA		VNS-IA		Gap2 (%)	Gap3 (%)
No.	N/k_q/k_y/k_a	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	Gap2 (%)	Gap3 (%)
21	100/2/6/7	99.2	7.3	142.5	10.6	86.0	27.4	15.3	65.6
22	100/2/6/8	85.8	7.9	157.4	10.3	81.6	24.6	5.1	92.9
23	100/2/6/9	112.2	8.0	154.2	10.0	91.2	20.6	23.1	69.2
24	100/2/6/10	86.7	7.8	158.8	9.5	86.0	26.6	0.8	84.6
25	200/2/6/7	483.1	73.0	814.9	43.3	473.1	110.9	2.1	72.3
26	200/2/6/8	515.7	65.3	959.1	42.0	510.6	101.4	0.9	84.2
27	200/2/6/9	508.0	78.3	1015.9	43.3	500.4	102.0	1.5	99.1
28	200/2/6/10	548.3	67.9	844.2	42.5	469.6	104.7	16.8	79.8
29	200/3/9/11	588.8	71.5	979.9	41.1	496.5	93.6	18.6	97.3
30	200/3/9/12	572.6	75.6	1041.5	42.2	530.5	93.9	7.9	96.3
31	200/3/9/13	482.7	78.3	908.0	41.0	480.4	95.2	0.5	85.0
32	200/3/9/14	532.4	76.4	910.1	39.4	472.9	98.7	12.6	92.5
33	200/3/9/15	597.9	73.7	949.2	37.4	509.7	100.5	17.3	86.2
34	200/4/12/16	251.8	41.7	396.9	29.3	248.9	72.1	1.1	59.4
35	200/4/12/17	253.2	40.0	394.7	25.9	249.8	71.6	1.3	58.0
36	200/4/12/18	237.7	39.5	394.1	26.0	226.2	77.6	5.1	74.3
37	200/4/12/19	246.5	43.9	388.8	27.2	229.5	71.5	7.4	69.4
38	200/4/12/20	234.8	44.2	398.4	26.1	228.5	65.5	2.8	74.4
39	300/4/12/16	696.4	165.3	1052.4	59.8	662.5	190.1	5.1	61.5
40	300/4/12/17	717.8	174.2	1078.7	64.9	618.0	176.7	16.2	74.6
41	300/4/12/18	776.0	171.8	1066.6	63.6	722.8	179.2	7.4	47.6
42	300/4/12/19	685.8	172.3	1049.8	61.0	588.9	174.1	16.5	78.3
43	300/4/12/20	623.4	193.6	1027.4	61.2	602.8	182.2	3.4	69.2

No.	N/k_q/k_y/k_a	VNS		IA		VNS-IA		Gap2 (%)	Gap3 (%)
No.	N/k_q/k_y/k_a	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	f₂/yuan	Runtime/s	Gap2 (%)	Gap3 (%)
21	100/2/6/7	99.2	7.3	142.5	10.6	86.0	27.4	15.3	65.6
22	100/2/6/8	85.8	7.9	157.4	10.3	81.6	24.6	5.1	92.9
23	100/2/6/9	112.2	8.0	154.2	10.0	91.2	20.6	23.1	69.2
24	100/2/6/10	86.7	7.8	158.8	9.5	86.0	26.6	0.8	84.6
25	200/2/6/7	483.1	73.0	814.9	43.3	473.1	110.9	2.1	72.3
26	200/2/6/8	515.7	65.3	959.1	42.0	510.6	101.4	0.9	84.2
27	200/2/6/9	508.0	78.3	1015.9	43.3	500.4	102.0	1.5	99.1
28	200/2/6/10	548.3	67.9	844.2	42.5	469.6	104.7	16.8	79.8
29	200/3/9/11	588.8	71.5	979.9	41.1	496.5	93.6	18.6	97.3
30	200/3/9/12	572.6	75.6	1041.5	42.2	530.5	93.9	7.9	96.3
31	200/3/9/13	482.7	78.3	908.0	41.0	480.4	95.2	0.5	85.0
32	200/3/9/14	532.4	76.4	910.1	39.4	472.9	98.7	12.6	92.5
33	200/3/9/15	597.9	73.7	949.2	37.4	509.7	100.5	17.3	86.2
34	200/4/12/16	251.8	41.7	396.9	29.3	248.9	72.1	1.1	59.4
35	200/4/12/17	253.2	40.0	394.7	25.9	249.8	71.6	1.3	58.0
36	200/4/12/18	237.7	39.5	394.1	26.0	226.2	77.6	5.1	74.3
37	200/4/12/19	246.5	43.9	388.8	27.2	229.5	71.5	7.4	69.4
38	200/4/12/20	234.8	44.2	398.4	26.1	228.5	65.5	2.8	74.4
39	300/4/12/16	696.4	165.3	1052.4	59.8	662.5	190.1	5.1	61.5
40	300/4/12/17	717.8	174.2	1078.7	64.9	618.0	176.7	16.2	74.6
41	300/4/12/18	776.0	171.8	1066.6	63.6	722.8	179.2	7.4	47.6
42	300/4/12/19	685.8	172.3	1049.8	61.0	588.9	174.1	16.5	78.3
43	300/4/12/20	623.4	193.6	1027.4	61.2	602.8	182.2	3.4	69.2

Note(s): $G a p 2 = \frac{f_{V N S} − f_{V N S − I A}}{f_{V N S − I A}} \times 100 % G a p 3 = \frac{f_{I A} − f_{V N S − I A}}{f_{V N S − I A}} \times 100 %$

Source(s): Own elaboration

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