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

Table 10

Results by the lexisearch algorithms for some symmetric TSPLIB instances.

Instance	OptSol	PSA				LSA
		BestSol	Error(%)	FirstTime	TotTime	BestSol	Error(%)	FirstTime	TotTime
burma14	3323	3323	0.00	0.00	0.03	3323	0.00	0.00	0.01
ulysses16	6859	6859	0.00	0.16	1.59	6859	0.00	0.23	0.84
gr17	2085	2085	0.00	1.36	3.50	2085	0.00	0.36	0.81
gr21	2707	2707	0.00	1.41	2.16	2707	0.00	0.01	0.05
ulysses22	7013	7013	0.00	155.00	952.61	7013	0.00	96.86	271.04
gr24	1272	1272	0.00	4.47	34.55	1272	0.00	33.59	54.31
fri26	937	937	0.00	301.41	552.73	937	0.00	33.14	96.97
bayg29	1610	1610	0.00	101.20	168.97	1610	0.00	107.33	158.93
bays29	2020	2020	0.00	584.89	773.35	2020	0.00	0.23	245.23
dantzig42	699	734	5.01	4472.33	14400.00	699	0.00	11973.78	14400.00
swiss42	1273	1377	8.17	1523.67	14400.00	1360	6.83	10762.53	14400.00
att48	10628	12224	15.02	1063.81	14400.00	10850	2.09	10.42	14400.00
gr48	5046	5067	0.42	4127.78	14400.00	5525	9.49	11863.67	14400.00
hk48	11461	13222	15.37	9659.94	14400.00	12506	9.12	8969.51	14400.00
eil51	426	486	14.08	5500.09	14400.00	430	0.94	4812.47	14400.00
berlin52	7542	9177	21.68	9249.66	14400.00	8240	9.25	2256.58	14400.00
brazil58	25395	29433	15.90	1090.66	14400.00	29935	17.88	136.36	14400.00
st70	675	827	22.52	496.98	14400.00	748	10.81	5906.02	14400.00
eil76	538	698	29.74	7067.08	14400.00	633	17.66	1893.67	14400.00
pr76	108159	131056	21.17	2915.11	14400.00	118909	9.94	30.97	14400.00
Average			8.45	2415.85	8044.47		4.70	2944.39	7961.41