Research Article

HA-CCP: A Hybrid Algorithm for Solving Capacitated Clustering Problem

Table 10

Devbest, Devavg, and average time of different algorithms on RanReal960.

Instance nameIVNSGVNSSGVNSFITSNDVNSHA-CCP

RanReal960_01.300.67/0.84/918.260.62/0.89/811.540.19/0.35/856.210.48/0.57/915.530/0.14/-0.03/0.18/720.64
RanReal960_02.300.62/0.83/797.610.61/0.90/842.950.19/0.35/835.980.09/0.13/904.230/0.18/-0.05/0.16/731.68
RanReal960_03.300.61/0.79/883.410.59/0.84/860.630.19/0.32/829.850.46/0.55/836.810/0.1/-0.07/0.17/673.02
RanReal960_04.300.52/0.63/919.960.57/0.83/832.990.10/0.32/822.400.04/0.17/929.490/0.17/-0.07/0.21/780.14
RanReal960_05.300.68/0.86/804.130.76/0.97/883.850.15/0.34/840.420.49/0.52/957.250/0.13/-0.09/0.24/686.23
RanReal960_06.300.55/0.78/857.850.70/0.86/801.300.25/0.37/834.760.53/0.58/935.810.02/0.1/-0.00/0.19/777.19
RanReal960_07.300.72/0.92/875.580.68/0.94/850.220.16/0.36/816.600.55/0.56/894.980/0.12/-0.01/0.13/769.18
RanReal960_08.300.49/0.75/804.150.62/0.82/822.220.19/0.35/831.190.40/0.47/948.470/0.18/-0.15/0.27/686.39
RanReal960_09.300.65/0.81/815.060.53/0.92/863.400.16/0.33/812.810.43/0.59/884.890/0.15/-0.12/0.23/641.61
RanReal960_10.300.66/0.9/878.660.71/0.94/850.020.19/0.36/792.140.50/0.58/897.680/0.15/-0.13/0.22/775.20
RanReal960_01.400.79/1.08/877.730.95/1.17/847.870.15/0.41/832.620.68/0.78/913.510/0.19/-0.04/0.16/724.70
RanReal960_02.400.8/0.97/824.060.76/0.99/876.230.16/0.32/830.260.63/0.67/938.570.01/0.17/-0.00/0.16/689.19
RanReal960_03.400.69/0.87/905.640.80/1.08/850.330.23/0.36/816.430.53/0.56/829.180/0.15/-0.00/0.13/726.02
RanReal960_04.400.68/1.01/800.470.68/1.11/904.060.27/0.47/761.940.00/0.26/931.930.15/0.33/-0.20/0.30/737.53
RanReal960_05.400.97/1.12/826.350.84/1.12/857.740.26/0.39/803.470.68/0.74/882.950/0.19/-0.02/0.13/737.69
RanReal960_06.401.00/1.10/876.400.73/1.27/835.260.30/0.48/840.430.68/0.71/795.610/0.26/-0.04/0.23/764.48
RanReal960_07.400.92/1.08/882.220.83/1.20/884.530.27/0.48/871.150.05/0.38/891.650/0.24/-0.07/0.16/796.50
RanReal960_08.400.62/0.75/807.240.70/0.97/851.960.20/0.30/827.890.42/0.57/884.170/0.24/-0.07/0.16/711.17
RanReal960_09.400.79/0.96/818.160.73/0.96/878.540.05/0.28/847.560.43/0.50/873.440/0.11/-0.02/0.21/716.20
RanReal960_10.400.89/1.05/872.900.85/1.08/863.940.17/0.45/860.780.58/0.72/943.530/0.19/-0.04/0.14/689.14
RanReal960_01.601.02/1.32/789.021.10/1.47/901.120.25/0.46/907.890.85/0.92/901.040.01/0.3/-0.00/0.16/751.24
RanReal960_02.600.99/1.20/826.250.93/1.24/874.070.19/0.34/873.060.49/0.66/887.610.21/0.4/-0.00/0.21/687.37
RanReal960_03.601.08/1.30/808.811.08/1.37/852.820.14/0.38/873.260.61/0.77/923.810.08/0.31/-0.00/0.17/658.15
RanReal960_04.600.94/1.14/853.850.82/1.21/830.990.14/0.31/839.140.64/0.71/819.90/0.27/-0.08/0.22/723.40
RanReal960_05.601.08/1.32/831.310.99/1.40/895.340.10/0.44/868.220.75/0.82/889.580.14/0.31/-0.00/0.22/691.55
RanReal960_06.600.95/1.15/766.030.91/1.32/872.940.20/0.47/836.760.81/0.95/864.120.14/0.52/-0.00/0.16/727.95
RanReal960_07.601.20/1.51/918.061.16/1.62/909.030.47/0.66/878.590.85/0.89/875.950.16/0.45/-0.00/0.24/680.08
RanReal960_08.600.72/1.13/851.600.95/1.23/911.420.12/0.35/859.760.50/0.63/870.010.12/0.51/-0.00/0.24/761.94
RanReal960_09.600.97/1.26/770.731.07/1.39/849.730.11/0.39/868.300.52/0.74/900.640.03/0.24/-0.00/0.18/740.51
RanReal960_10.600.95/1.23/855.351.12/1.46/898.950.18/0.45/857.380.81/0.93/870.890.12/0.38/-0.00/0.17/758.65
Average0.81/1.02/843.90.81/1.12/862.20.19/0.39/840.910.52/0.62/893.110.04/0.24/-0.04/0.19/723.82

Note. In Table 10, data A/B/C denote the value of Devbest, the value of Devavg, and the algorithm’s average time to find a final solution. The symbol “-” denotes the cases when the result is not reported in the literature.