Research Article

The Ordered Clustered Travelling Salesman Problem: A Hybrid Genetic Algorithm

Table 7

Results on some symmetric TSPLIB instances using HGA.

InstanceClustersBestSolAvgSolFTimeCTime

berlin52(51)7542 (0.00%)7542.000.703.63
(25, 26)1042210422.000.342.50
brazil58(57)25395 (0.00%)25395.001.094.50
(28, 29)3411034110.001.143.05
st70(69)675 (0.00%)677.151.496.15
(34, 35)916916.002.054.18
eil76(75)538 (0.00%)539.262.427.33
(37, 38)721723.121.995.11
pr76(75)108159 (0.00%)108254.552.097.46
(37, 38)120436120583.132.745.10
gr96(95)55209 (0.00%)55672.855.8912.07
(47, 48)5675756767.223.448.40
rat99(98)1211 (0.00%)1218.401.1612.91
(49, 49)13461348.255.539.10
kroA100(99)21282 (0.00%)21321.803.6713.02
(24, 25, 25, 25)4573346147.953.406.77
kroB100(99)22141 (0.00%)22193.154.9013.48
(24, 25, 25, 25)4570945813.852.527.24
kroC100(99)20749 (0.00%)20789.453.0412.62
(24, 25, 25, 25)4638846475.354.106.90
kroD100(99)21294 (0.00%)21389.114.6412.26
(24, 25, 25, 25)4568145952.203.436.07
kroE100(99)22068 (0.00%)22116.395.1814.52
(24, 25, 25, 25)4543145559.253.247.27
rd100(99)7910 (0.00%)7932.704.7513.46
(24, 25, 25, 25)1550115524.053.846.34
eil101(100)629 (0.00%)632.755.7916.07
(25, 25, 25, 25)10801080.003.808.92
lin105(104)14379 (0.00%)14416.655.6014.39
(26, 26, 26, 26)1758417618.202.138.25
pr107(106)44303 (0.00%)44405.671.7714.56
(26, 26, 27, 27)5148751538.802.147.79
gr120(119)6942 (0.00%)6986.956.1620.73
(29, 30, 30, 30)1310913129.155.2310.48
pr124(123)59030 (0.00%)59181.753.5120.77
(30, 31, 31, 31)7129571295.001.1212.38
bier127(126)118282 (0.00%)118419.609.3328.27
(30, 32, 32, 32)174112174250.706.8319.54
ch130(129)6110 (0.00%)6150.5013.1130.12
(32, 32, 32, 33)1200012022.055.6620.05
pr136(135)96772 (0.00%)97240.8014.8028.36
(33, 34, 34, 34)106605106718.408.1420.04
gr137(136)69853 (0.00%)70429.5012.0028.16
(34, 34, 34, 34)8162881715.014.2214.99
pr144(143)58537 (0.00%)58671.196.1830.83
(35, 36, 36, 36)6909369128.342.5820.22
kroA150(149)26524 (0.00%)26629.6512.3335.85
(37, 37, 37, 38)5282452988.4012.7418.80
kroB150(149)26130 (0.00%)26264.2317.2138.07
(37, 37, 37, 38)5400854237.7513.1519.16
ch150(149)6528 (0.00%)6556.3120.9238.59
(37, 37, 37, 38)1304213085.2510.2019.04
pr152(151)73682 (0.00%)74017.4511.9234.25
(37, 38, 38, 38)7994179941.001.8024.28
u159(158)42080 (0.00%)42336.1012.8538.87
(39, 39, 40, 40)4228742302.453.2920.94
si175(174)21407 (0.00%)21412.1051.1995.68
(43, 43, 44, 44)2289322910.657.6134.72
brg180(179)1950 (0.00%)2010.3514.2944.58
(44, 45, 45, 45)1943021060.206.9015.29
rat195(194)2323 (0.00%)2362.2027.1371.36
(48, 48, 49, 49)25442551.7220.8635.24
d198(197)15800 (0.13%)15858.7524.6077.79
(49, 49, 49, 50)1732017339.5029.7643.92
kroA200(199)29420 (0.18%)29618.8021.0870.41
(49, 50, 50, 50)6251462941.7523.4539.81
kroB200(199)29463 (0.09%)29807.0023.8775.01
(49, 50, 50, 50)6284263253.1118.2841.40
gr202(201)40160 (0.00%)40413.8536.9697.25
(50, 50, 50, 51)4417644248.2024.8640.43
ts225(224)126643 (0.00%)127006.8328.5193.85
(56, 56, 56, 56)171269171543.3025.7348.77
tsp225(224)3923 (0.18%)3967.3538.29105.30
(56, 56, 56, 56)51335171.1520.1154.91
pr226(225)80467 (0.12%)80953.6016.2887.69
(56, 56, 56, 57)9650896510.1028.3863.22
gr229(228)134957 (0.26%)136184.3537.33119.79
(57, 57, 57, 57)143028143632.4532.0457.31
gil262(261)2391 (0.55%)2403.1553.08151.26
(65, 65, 65, 66)48744906.4564.3393.72
pr264(263)49219 (0.17%)49814.4548.75149.99
(65, 66, 66, 66)6016160294.1522.7897.20
a280(279)2585 (0.23%)2614.05105.25187.03
(69, 70, 70, 70)27402743.7532.7594.28
pr299(298)48375 (0.38%)48857.0638.11202.84
(74, 74, 75, 75)5525355951.6545.36123.61
lin318(317)42301 (0.65%)42679.6585.68253.92
(79, 79, 79, 80)5257852811.3562.29133.35
rd400(399)15370 (0.58%)15452.20203.27546.74
(99, 100, 100, 100)3082131006.60151.40259.78
fl417(416)11930 (0.58%)12004.63227.38544.17
(104, 104, 104, 104)2045720576.24201.62346.01
gr431(430)173270 (1.08%)176047.20300.35716.64
(107, 107, 108, 108)185162186661.56291.81406.47

Average29.8670.16