Research Article
HA-CCP: A Hybrid Algorithm for Solving Capacitated Clustering Problem
Table 6
Comparative results of different algorithms on RanReal240 and RanReal480.
| Instance name | IVNS | GVNS | SGVNS | FITS | NDVNS | HA-CCP |
| RanReal240_01 | 224831.56/224571.29 | 224580.56/224207.09 | 224968.01/224769.72 | 224941.48/224802.06 | 224949.51/224689.70 | 225003.70/224897.01 | RanReal240_02 | 204624.36/204275.49 | 204205.41/203682.12 | 204624.36/204444.31 | 204624.36/204359.38 | 204563.81/204214.81 | 204624.36/204515.06 | RanReal240_03 | 198861.68/198606.95 | 198472.78/197806.87 | 199059.56/198849.22 | 198954.91/198799.84 | 198976.88/198681.37 | 199079.37/198915.84 | RanReal240_04 | 225390.88/225069.14 | 225144.59/224463.81 | 225627.16/225389.88 | 225627.16/225364.97 | 225618.17/225185.91 | 225683.17/225346.54 | RanReal240_05 | 195540.41/195184.84 | 194911.72/194361.91 | 195516.57/195306.51 | 195564.48/195320.28 | 195539.89/195401.63 | 195540.41/195469.00 | RanReal240_06 | 216713.91/216355.53 | 216383.13/215849.06 | 216733.31/216584.23 | 216747.32/216487.02 | 216747.32/216173.65 | 216730.26/216613.93 | RanReal240_07 | 209216.90/208992.44 | 209118.64/208329.21 | 209223.34/209080.57 | 209305.70/209029.23 | 209273.70/209063.40 | 209282.88/209150.41 | RanReal240_08 | 205246.82/204842.79 | 204754.36/204137.78 | 205154.20/204951.2 | 205246.82/204961.05 | 205246.82/205099.31 | 205246.82/205110.51 | RanReal240_09 | 209142.07/208720.16 | 208702.16/208276.52 | 209007.44/208904.78 | 209159.16/208952.48 | 209186.90/208987.58 | 209057.64/208897.23 | RanReal240_10 | 192885.48/192598.79 | 192343.75/191874.34 | 193062.60/192842.05 | 192986.21/192811.13 | 192948.92/192523.02 | 193044.16/192954.72 | RanReal240_11 | 204647.20/204377.08 | 204399.04/203900.12 | 204615.71/204480.92 | 204722.75/204559.39 | 204722.75/204398.23 | 204722.75/204638.07 | RanReal240_12 | 201028.32/200763.75 | 200822.69/200150.52 | 201076.30/200938.30 | 201117.11/200797.67 | 200978.99/200737.16 | 201117.11/201006.45 | RanReal240_13 | 202331.20/202027.28 | 201977.87/201356.20 | 202321.58/202198.63 | 202335.99/202139.57 | 202345.12/202276.80 | 202345.48/202285.83 | RanReal240_14 | 228870.89/228520.04 | 228661.60/228054.32 | 228775.14/228569.78 | 228870.89/228554.78 | 228870.89/228396.82 | 228971.03/228740.72 | RanReal240_15 | 191152.17/190827.68 | 190575.48/189965.59 | 191238.53/191058.62 | 191255.87/190923.28 | 191263.28/190945.28 | 191243.76/191117.60 | RanReal240_16 | 204074.95/203668.49 | 203816.48/203270.11 | 203991.53/203649.04 | 204054.99/203710.39 | 204074.95/203918.76 | 204072.57/203961.38 | RanReal240_17 | 195206.73/194950.57 | 194840.79/194404.70 | 195423.83/195241.19 | 195561.36/195243.32 | 195509.13/195236.75 | 195393.97/195278.93 | RanReal240_18 | 194916.37/194704.23 | 194915.62/194114.09 | 195120.98/194967.73 | 195100.39/194872.13 | 195167.14/194886.16 | 195167.14/195069.80 | RanReal240_19 | 199200.03/198905.05 | 198828.82/198119.14 | 199307.33/199093.86 | 199225.98/199040.43 | 199216.46/198895.83 | 199307.33/199204.90 | RanReal240_20 | 212264.10/211871.74 | 211984.80/211458.51 | 212268.46/212037.43 | 212268.52/212049.85 | 212323.22/212130.13 | 212229.46/212111.19 | RanReal480_01 | 554337.23/553795.85 | 553224.53/552326.59 | 555430.60/554994.68 | 555489.92/554376.54 | 556639.68/555566.55 | 556126.86/555338.06 | RanReal480_02 | 510066.41/509058.46 | 508711.62/507540.62 | 510718.79/510304.78 | 511280.50/509757.15 | 511666.95/510495.78 | 511566.55/510924.27 | RanReal480_03 | 496334.51/495409.98 | 495140.23/493706.92 | 497725.86/496785.80 | 497295.19/496059.50 | 497846.57/495871.46 | 498028.54/497109.59 | RanReal480_04 | 521669.00/520051.55 | 520653.34/519051.60 | 522572.81/521952.28 | 522305.16/521062.13 | 522748.49/520295.34 | 522790.22/521999.31 | RanReal480_05 | 483670.19/482390.51 | 481803.95/480508.80 | 483819.77/482603.84 | 484084.66/482867.74 | 484742.51/482831.18 | 485138.44/484092.59 | RanReal480_06 | 533589.61/532462.25 | 532702.72/531627.12 | 534515.67/533916.00 | 533991.27/533036.36 | 535503.61/533138.78 | 534961.79/534114.47 | RanReal480_07 | 545343.81/544060.83 | 544445.60/542318.56 | 545812.49/545302.82 | 545470.73/544651.12 | 546951.97/545548.47 | 546503.90/545582.87 | RanReal480_08 | 531974.48/531023.25 | 531287.92/529525.39 | 532736.12/532109.62 | 532417.42/531667.91 | 533098.56/531631.32 | 532891.23/532161.08 | RanReal480_09 | 555604.38/554820.43 | 555163.27/553394.39 | 556865.18/556081.91 | 556868.85/555634.40 | 557283.90/555998.60 | 557120.25/556265.26 | RanReal480_10 | 519066.57/518412.32 | 517431.34/516228.20 | 520014.70/518024.16 | 520257.54/518071.71 | 520481.15/518812.29 | 520492.06/519891.18 | RanReal480_11 | 523463.33/522201.99 | 522626.50/521218.97 | 524124.60/523508.02 | 523991.29/522816.94 | 524059.91/522416.53 | 524669.99/523760.48 | RanReal480_12 | 501462.57/500055.30 | 499914.17/498596.97 | 502570.10/501632.20 | 501915.56/500776.79 | 502656.68/501171.81 | 503359.96/502069.60 | RanReal480_13 | 534294.24/533478.80 | 533672.27/532322.68 | 535411.94/534651.24 | 535025.51/533823.79 | 535633.80/533605.55 | 535251.73/534707.51 | RanReal480_14 | 513186.65/512501.71 | 512764.33/511212.78 | 514537.52/513935.11 | 514107.62/513053.25 | 514696.90/512600.42 | 515476.42/514801.49 | RanReal480_15 | 516657.20/515416.17 | 515607.47/514465.20 | 518029.18/517189.00 | 517205.02/516018.38 | 518605.32/516455.65 | 518370.90/517283.29 | RanReal480_16 | 549230.25/548274.66 | 549033.57/547075.83 | 549840.64/549253.54 | 549552.63/548462.13 | 550482.48/549108.44 | 550317.71/549881.85 | RanReal480_17 | 537223.44/536149.06 | 536402.45/534770.20 | 537993.79/537568.15 | 537924.55/536745.39 | 538331.26/536829.04 | 538745.70/537826.26 | RanReal480_18 | 525490.09/524515.11 | 524631.54/522908.72 | 526349.49/525453.50 | 525822.76/524712.42 | 526466.23/523932.37 | 526314.82/525702.47 | RanReal480_19 | 522280.40/521442.89 | 521672.59/519720.44 | 522757.15/522218.13 | 522316.22/521267.22 | 523219.84/522114.62 | 522958.23/522365.10 | RanReal480_20 | 518436.63/516935.15 | 516488.64/515450.41 | 518847.01/518202.52 | 518349.10/517430.77 | 519492.21/518475.86 | 519277.92/518518.27 | #Best | 3/0 | 0/0 | 2/1 | 8/0 | 19/3 | 19/36 | Value | 3.46E − 07/2.54E – 10 | 2.54E − 10/2.54E − 10 | 2.47E − 05/1.25E − 08 | 2.46E − 04/1.25E − 08 | 0.87/7.62E − 08 | |
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Note. In Table 6, data A/B denote the best objective value and the average objective value of the instance found by the algorithm. |