An Enhanced Grasshopper Optimization Algorithm to the Bin Packing Problem

Table 5

Results for multimodal functions.

Function	Type	EGOA	GOA	DA	ALO	PSO	OBLGOA
F8	avg	−7870.7306	−7579.2715	−7376.4956	−5681.4728	−6619.9581	−7671.5200
	std	649.2707	900.0826	882.9292	694.0512	784.2524	730.6476
	best	−9102.6546	−9467.2412	−9220.7846	−9004.5042	−8481.6966	−9154.0221
	worst	−6794.9884	−5681.3700	−5402.0041	−5417.6748	−5343.1670	−6321.3596
F9	avg	0.5506	9.7174	7.0345	9.5848	5.3064	1.1282
	std	1.1216	7.7979	4.1399	5.0157	3.1063	1.5848
	best	0.0000	0.9950	0.9952	0.9950	0.9950	6.0484E − 09
	worst	4.0747	32.8334	16.9164	19.8991	14.9244	5.9717
F10	avg	6.8570E − 08	3.1128	8.1242	6.0103	1.7712	0.0010
	std	1.8729E − 08	1.0787	3.9469	3.6325	0.7301	0.0002
	best	4.2697E − 08	1.6466	2.8930	2.3181	0.0003	0.0006
	worst	1.1399E − 07	6.2071	16.6509	14.3756	2.9579	0.0016
F11	avg	3.9540E − 13	0.7293	1.1663	0.0628	0.0367	0.0003
	std	5.6432E − 13	0.1782	0.1652	0.0302	0.0730	8.1399E − 05
	best	5.0071E − 14	0.2872	1.0366	0.0120	3.4788E − 07	0.0001
	worst	3.1125E − 12	1.0295	1.7957	0.1268	0.3924	0.0005
F12	avg	0.0596	4.7713	20.6637	11.6964	0.4780	0.0443
	std	0.0465	2.2841	8.1149	4.4639	0.6003	0.0198
	best	1.5136E − 02	0.8415	7.9487	4.8224	2.3850E − 09	0.0124
	worst	0.2322	9.1428	39.2302	22.3226	2.3453	0.0888
F13	avg	0.8174	7.6309	103.8394	22.4201	0.1950	0.4521
	std	0.3692	10.0853	336.0417	14.6435	0.6831	0.3147
	best	0.2073	0.0571	2.6543	0.0120	2.9372E − 07	0.0783
	worst	1.4061	40.2498	1865.8767	52.4418	3.6765	1.6232