Table 6.

The output of the algorithms for solving the small-sized instances

Problem	SA-GP				GA-GP				PSO-GP				HSAMCGP
	Z1 $\times {10}^6$	Z2	Z3	CPU time (s)	Z1 $\times {10}^6$	Z2	Z3	CPU time (s)	Z1 $\times {10}^6$	Z2	Z3	CPU time (s)	Z1 $\times {10}^6$	Z2	Z3	CPU time (s)
1	22,284.9	0.893	1.701	95.3	22,253.0	0.892	1.699	175.4	22,314.23	0.894	1.703	163.5	22,018.5	0.883	1.681	145.4
2	27,248.1	0.941	1.748	99.8	27,188.7	0.939	1.745	189.8	27,302.58	0.942	1.751	176.9	26,753.2	0.926	1.725	154.8
3	31,027.7	0.807	1.658	105.6	30,939.4	0.805	1.653	195.5	31,108.66	0.809	1.661	182.2	30,291.6	0.792	1.623	163.5
4	36,256.5	0.871	1.699	109.4	36,159.5	0.869	1.695	205.1	36,345.43	0.872	1.703	191.2	35,448.3	0.856	1.664	177.1
5	41,593.2	0.943	1.669	115.7	41,424.0	0.939	1.663	218.4	41,748.36	0.946	1.675	203.5	40,182.8	0.914	1.615	189.4
6	45,812.9	0.868	1.640	120.2	45,640.3	0.865	1.633	231.2	45,971.01	0.871	1.645	215.5	44,375.1	0.843	1.589	200.2
7	50,182.2	0.917	1.736	125.6	49,943.9	0.913	1.728	245.6	50,400.62	0.920	1.743	228.9	48,196.5	0.885	1.672	211.6
8	54,810.8	0.954	1.717	129.1	54,562.1	0.950	1.709	248.7	55,038.8	0.957	1.724	231.8	52,738.2	0.921	1.655	220.7
9	60,211.3	0.829	1.788	136.4	59,900.2	0.825	1.779	257.5	60,496.54	0.833	1.796	240.0	57,618.5	0.796	1.713	229.5
10	65,030.6	0.927	1.693	142.8	64,714.6	0.923	1.685	268.1	65,320.22	0.931	1.700	249.9	62,397.4	0.892	1.628	237.1
11	71,894.1	0.998	1.670	150.3	71,495.9	0.993	1.661	278.9	72,259.23	1.003	1.678	259.9	68,575.1	0.954	1.593	248.9
12	75,222.7	0.906	1.665	156.7	74,771.6	0.901	1.655	289.4	75,636.18	0.910	1.674	269.7	71,463.7	0.863	1.584	257.4
13	80,984.0	0.913	1.687	161.9	80,540.7	0.908	1.678	299.6	81,390.43	0.917	1.695	279.2	77,289.6	0.874	1.613	268.6
14	89,048.8	0.962	1.703	167.5	88,522.5	0.957	1.693	306.5	89,531.16	0.967	1.712	285.7	84,663.2	0.918	1.622	280.5
15	95,503.5	0.954	1.684	176.8	94,876.3	0.948	1.674	325.7	96,078.48	0.960	1.694	303.6	90,276.5	0.906	1.597	292.7