A Data-Guided Lexisearch Algorithm for the Asymmetric Traveling Salesman Problem

Table 6

Results by different algorithms on thirteen asymmetric TSPLIB instances.

Instance	OptSol	PSA				LSA				DGLSA
		BestSol	Error(%)	FirstTime	TotTime	BestSol	Error(%)	FirstTime	TotTime	BestSol	Error(%)	FirstTime	TotTime
br17	39	39	0.00	0.22	46.27	39	0.00	9.20	80.56	39	0.00	9.20	80.56
ftv33	1286	1286	0.00	1040.23	1091.33	1286	0.00	46.25	161.84	1286	0.00	46.25	161.84
ftv35	1473	1473	0.00	385.98	787.73	1473	0.00	62.95	1625.80	1473	0.00	65.73	379.42
ftv38	1530	1530	0.00	7835.70	8991.98	1530	0.00	295.30	2894.69	1530	0.00	444.97	1868.85
p43	5620	5670	0.89	1.41	14400.00	5636	0.28	108.61	14400.00	5634	0.25	780.66	14400.00
ftv44	1613	1780	10.35	14329.52	14400.00	1613	0.00	7601.94	11334.98	1613	0.00	7601.94	11334.98
ftv47	1776	1780	0.23	3427.92	14400.00	1780	0.23	8401.03	14400.00	1853	4.34	9717.16	14400.00
ry48p	14420	15841	9.85	3057.05	14400.00	16381	13.60	6066.56	14400.00	16381	13.60	6066.56	14400.00
ft53	6905	8946	29.56	6850.77	14400.00	7728	11.92	4417.14	14400.00	8116	17.54	256.25	14400.00
ftv55	1608	1804	12.19	13902.94	14400.00	1735	7.90	25.78	14400.00	1711	6.41	2151.92	14400.00
ftv64	1839	2097	14.03	6966.64	14400.00	2178	18.43	11220.49	14400.00	2052	11.58	1556.53	14400.00
ft70	38673	42783	10.63	4764.20	14400.00	40640	5.09	12431.34	14400.00	40529	4.80	2.53	14400.00
ftv70	1950	2190	12.31	8039.19	14400.00	2309	18.41	331.31	14400.00	2108	8.10	9865.09	14400.00
Average			7.70	5430.91	10809.02		5.84	3924.45	10099.84		5.12	2966.52	9925.05