Table 6.

The outputs of the evaluation metric of the developed meta-heuristic algorithms.

Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS	Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS
IGD	S1	0.044	0.038	0.041	SNS	S1	3182	3455	3271
	S2	0.045	0.039	0.042		S2	3345	3678	3472
	S3	0.047	0.041	0.045		S3	3403	3681	3567
	S4	0.048	0.042	0.046		S4	3562	3702	3601
	M5	0.049	0.044	0.048		M5	3877	4012	3987
	M6	0.051	0.045	0.050		M6	3946	4309	4128
	M7	0.052	0.046	0.051		M7	4126	4791	4567
	M8	0.058	0.047	0.053		M8	4780	5023	4981
	L9	0.063	0.051	0.054		L9	5136	5699	5267
	L10	0.069	0.053	0.059		L10	5346	5823	5671
	L11	0.074	0.057	0.065		L11	5802	6126	5987
	L12	0.079	0.061	0.069		L12	6245	6802	6452
Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS	Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS
MS	S1	4256	4432	4356	MID	S1	4.65	1.35	3.78
	S2	4358	4467	4378		S2	4.92	1.76	3.82
	S3	4491	4671	4581		S3	5.32	2.04	4.12
	S4	4503	4783	4672		S4	5.81	2.67	4.28
	M5	4692	4981	4823		M5	6.45	2.93	4.56
	M6	4893	5134	4902		M6	6.81	3.14	4.89
	M7	4906	5349	5034		M7	6.97	3.54	5.13
	M8	5134	5677	5239		M8	7.04	3.82	5.29
	L9	5467	5982	5512		L9	7.16	4.53	5.89
	L10	5789	6322	5938		L10	7.45	4.78	6.25
	L11	5903	6458	6123		L11	7.68	4.95	6.39
	L12	6278	6577	6344		L12	7.96	5.12	6.89
Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS	Assessment metrics	Sample	HACO-VNS	HFSA-VNS	HFA-VNS
NPS	S1	2	4	3	HV	S1	2.67	3.51	2.98
	S2	2	4	3		S2	2.83	3.72	3.02
	S3	3	5	4		S3	2.94	4.56	3.45
	S4	4	6	5		S4	3.04	5.78	3.78
	M5	5	7	6		M5	3.42	6.23	4.56
	M6	4	6	5		M6	3.78	6.58	5.38
	M7	4	6	5		M7	3.95	7.04	6.77
	M8	5	8	7		M8	4.12	7.25	6.81
	L9	6	9	8		L9	4.67	7.87	7.34
	L10	6	8	7		L10	5.98	8.54	7.94
	L11	8	10	9		L11	6.52	8.92	8.35
	L12	9	12	11		L12	7.61	9.21	8.72