The Ordered Clustered Travelling Salesman Problem: A Hybrid Genetic Algorithm

Table 5

A comparative study between LBDCOMP and HGA for asymmetric TSPLIB instances.

Instance	Clusters	LBDCOMP		HGA
		Solution	Time	BestSol	Error (%)	AvgSol	FTime	CTime
ftv33	(16, 17)	1584	5.11	1501	−5.24	1502.16	0.12	1.01
	(9, 24)	1509	5.87	1501	−0.53	1503.24	0.13	1.25
	(3, 30)	1356	5.00	1356	0.00	1359.15	0.18	1.63
ftv35	(17, 18)	1747	11.32	1731	−0.92	1739.29	0.41	1.13
	(10, 25)	1660	3.46	1660	0.00	1663.34	0.32	1.26
	(3, 32)	1527	13.89	1527	0.00	1533.13	0.42	1.41
ftv38	(19, 19)	1681	4.13	1681	0.00	1686.06	0.96	1.35
	(11, 27)	1689	7.65	1689	0.00	1692.25	0.22	1.53
	(3, 35)	1573	17.66	1573	0.00	1586.00	0.16	2.11
ftv44	(22, 22)	1935	24.92	1935	0.00	1940.23	0.17	1.75
	(13, 31)	1830	7.90	1830	0.00	1852.12	0.47	2.01
	(4, 40)	1670	48.71	1670	0.00	1689.00	0.40	2.72
ftv47	(23, 24)	2470	10.06	2470	0.00	2526.24	0.78	1.93
	(13, 34)	2349	10.49	2257	−3.92	2281.27	1.15	2.42
	(4, 43)	1957	5.93	1957	0.00	2006.31	1.52	3.17
ftv55	(27, 28)	2299	6.00	2219	−3.48	2248.24	0.71	2.60
	(16, 39)	1937	8.15	1937	0.00	1982.12	2.07	3.06
	(5, 50)	1763	32.06	1763	0.00	1788.24	1.16	4.48
ftv64	(32, 32)	2658	28.54	2658	0.00	2686.15	2.15	3.68
	(19, 45)	2383	65.27	2383	0.00	2494.11	2.98	4.37
	(6, 58)	2006	110.93	2006	0.00	2048.21	2.24	6.38
ftv70	(35, 35)	2308	135.86	2308	0.00	2341.30	1.30	4.11
	(21, 49)	2244	102.69	2244	0.00	2267.24	2.72	4.79
	(7, 63)	2134	323.31	2134	0.00	2163.32	4.60	7.37
ftv90	(45, 45)	1756	17.71	1756	0.00	1833.78	5.28	6.93
	(27, 63)	1710	56.71	1710	0.00	1784.80	5.55	8.46
	(9, 81)	1579	68.24	1579	0.00	1653.22	5.79	14.43
ftv100	(50, 50)	2008	24.13	2008	0.00	2084.17	4.89	8.90
	(30, 70)	1903	143.51	1903	0.00	1969.66	7.59	11.88
	(10, 90)	1788	187.49	1788	0.00	1904.15	11.72	19.27
ftv110	(29, 27, 27, 27)	2410	289.19	2411	0.04	2490.80	6.08	7.48
ftv120	(30, 30, 30, 30)	2571	83.96	2571	0.00	2596.23	5.66	9.04
ftv130	(34, 32, 32, 32)	2747	331.67	2751	0.15	2817.56	5.95	11.20
ftv140	(35, 35, 35, 35)	2941	571.44	2947	0.20	3071.26	10.02	13.23
ftv150	(39, 37, 37, 37)	3119	81.42	3120	0.03	3265.26	7.94	15.79
ftv160	(40, 40, 40, 40)	3561	754.54	3580	0.53	3696.18	12.51	18.34
ftv170	(44, 42, 42, 42)	3927	297.71	3891	−0.92	3992.01	15.36	22.39
Average			105.48		−0.38		3.56	6.35