Mathematical Problems in Engineering

Research Article

An Improved Harmony Search Based on Teaching-Learning Strategy for Unconstrained Optimization Problems

Table 8

The success rate, mean runtime, and FEs for function , .


Function	Algorithm

Success rate (SR)	HS	0%	0%	0%	0%	0%	0%	0%	0%	0%	0%
	SGHS	0%	0%	0%	0%	60%	0%	0%	0%	0%	0%
	NGHS	0%	0%	0%	0%	0%	0%	0%	45%	15%	0%
	HSTL	100%	100%	95%	100%	100%	100%	100%	100%	100%	100%

Mean runtime (s)	HS	19	14	21	50	31	48	15	14	17	16
	SGHS	39	34	41	73	40	72	36	35	39	37
	NGHS	18	13	20	49	30	48	14	11	16	16
	HSTL	20	10	21	48	26	46	18	4	14	19

Mean FEs	HS	500000	500000	500000	500000	500000	500000	500000	500000	500000	500000
	SGHS	500000	500000	500000	500000	397181	500000	500000	500000	500000	500000
	NGHS	500000	500000	500000	500000	500000	500000	500000	425302	497089	500000
	HSTL	475167	291492	452830	450158	386120	443818	482502	105551	332693	483873

Function	Algorithm

Success rate (SR)	HS	70%	45%	0%	0%	0%	0%	0%	0%	0%	0%
	SGHS	0%	0%	0%	0%	65%	0%	0%	0%	0%	0%
	NGHS	75%	100%	0%	0%	90%	15%	0%	0%	0%	0%
	HSTL	100%	100%	90%	100%	100%	85%	90%	100%	80%	100%

Mean runtime (s)	HS	8	13	32	32	38	34	55	38	88	527
	SGHS	35	34	55	54	39	56	78	60	114	570
	NGHS	9	3	31	31	8	32	54	36	92	525
	HSTL	5	9	36	31	18	34	51	32	81	467

Mean Fes	HS	264713	471826	500000	500000	500000	500000	500000	500000	500000	500000
	SGHS	500000	500000	500000	500000	323631	500000	500000	500000	500000	500000
	NGHS	335021	107386	500000	500000	114380	485463	500000	500000	500000	500000
	HSTL	122555	240403	494888	418223	206975	437342	488064	434498	415872	445225

Function	Algorithm

Success rate (SR)	HS	0%	0%	0%	0%	100%	0%	0%	0%	0%	0%
	SGHS	0%	0%	0%	0%	95%	0%	100%	0%	0%	0%
	NGHS	0%	0%	0%	0%	100%	0%	100%	25%	0%	0%
	HSTL	100%	50%	0%	100%	100%	100%	100%	60%	100%	100%

Mean runtime (s)	HS	289	373	359	364	35	310	453	441	436	312
	SGHS	329	416	400	406	133	351	337	476	477	351
	NGHS	293	374	360	366	22	310	13	382	437	317
	HSTL	273	375	363	271	46	311	104	363	364	273

Mean Fes	HS	500000	500000	500000	500000	54677	500000	500000	500000	500000	500000
	SGHS	500000	500000	500000	500000	181162	500000	341216	500000	500000	500000
	NGHS	500000	500000	500000	500000	33331	500000	14644	451443	500000	500000
	HSTL	459671	497514	500000	367442	85659	500000	132414	432651	415004	429027