Automatically Produced Algorithms for the Generalized Minimum Spanning Tree Problem

Table 3

Numerical results using group 1 instances.

Clustering type	Center		μ = 3		μ = 5		μ = 7		μ = 10		Overall
Heuristics	Gap (%)	Time (sec)	Gap (%)	Time (sec)	Gap (%)	Time (sec)	Gap (%)	Time (sec)	Gap (%)	Time (sec)	Avg. gap (%)	Avg. time (sec)
CPLEX_1	53.04	170.4870	214.98	204.4361	92.54	182.3282	45.56	154.2179	0.55	168.2015	79.10	168.2015
CPLEX_2	10.33	1039.8365	130.72	1349.2061	19.56	1255.2257	0.48	896.5061	0.27	1017.3680	30.74	1017.3680
STLB	37.13	—	22.22	—	32.95	—	42.34	—	44.39	—	35.94	—
Kruskal	8.27	—	5.05	—	10.65	—	15.87	—	15.90	—	11.00	—
Prim	13.10	—	7.94	—	12.41	—	17.18	—	18.56	—	13.83	—
Sollin	7.99	—	5.22	—	10.70	—	15.64	—	15.67	—	10.89	—
IKH	4.80	—	3.42	—	6.48	—	8.98	—	8.43	—	6.34	0.2700
IPH	6.81	—	5.06	—	6.45	—	7.43	—	6.76	—	6.52	0.0200
ISH	4.82	—	3.60	—	6.59	—	8.67	—	8.07	—	6.27	17.6000
C1	27.52	0.0001	16.21	0.0004	28.70	0.0003	41.39	0.0000	48.62	0.0002	32.30	0.0002
RC2	8.40	0.0003	5.28	0.0003	10.86	0.0003	15.28	0.0003	15.41	0.0000	10.92	0.0002
RC3	11.48	0.0005	7.22	0.0003	13.45	0.0001	17.30	0.0001	17.94	0.0004	13.39	0.0003
RC4	16.07	0.0002	10.05	0.0013	15.24	0.0003	20.21	0.0003	20.47	0.0001	16.41	0.0004
RC5	11.87	0.0120	7.80	0.0600	11.37	0.0171	14.91	0.0077	15.91	0.0048	12.36	0.0197
GMSTP1	6.04	0.0134	3.52	0.0618	5.89	0.0208	8.01	0.2384	8.66	0.0041	6.42	0.0208
GMSTP2	5.34	0.0128	3.28	0.0985	4.90	0.0209	6.38	0.4674	7.86	0.0106	5.55	0.0293
GMSTP3	4.71	0.0185	3.39	0.0847	5.01	0.0182	6.72	0.0093	7.47	0.0096	5.42	0.0274