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Arc-flow Formulation (w/ graph compression) Results: Card 1D-bar

Results for Bin Packing and Related Problems: General Arc-flow Formulation with Graph Compression)
23,153 benchmark instances solved in 9 days (less than 35 seconds per instance, on average)
Computer: 2 x Quad-Core Intel Xeon at 2.66GHz, Mac OS X 10.8.0, 16 GBytes of memory
Solver: Gurobi 5.0.0, Threads = 1 (single thread), Presolve = 1 (conservative),
Method = 2 (interior point methods), MIPFocus = 1 (feasible solutions),
Heuristics = 1, MIPGap = 0, MIPGapAbs = 1-10^5

Donwload Results   Download Instances

Arc-flow VPSolver

NameTypeDescription#Solved#Total
BPP FLKBPP1D Bin-Packing Problems from FALKENAUER (1996).160 160
CSP FLKCSP1D Bin-Packing Problems from FALKENAUER (1996) [demand x 10^6].160 160
FiberCSPInstances taken from a real application in a paper tube industry in Japan.39 39
CutgenCSPCUTGEN (Gau and Wascher, 1995).1800 1800
1D-barCSP 1D-bar relaxations of the two-dimensional bin packing test dataset of Lodi et al. (1999).500 500
SchollBPP1D Bin-Packing Problems from SCHOLL/KLEIN/JUERGENS (1997).1210 1210
Hard28BPPThe 28 VERY hard BPP instances of J. Schoenfield (with m from 140 to 200).28 28
SCH/WAEBPP1D Bin-Packing Problems from SCHWERIN/WAESCHER (1998).200 200
WAE/GAUBPP1D Bin-Packing Problems from WAESCHER/GAU (1996).17 17
2CBP2CBPTwo-Constraint Bin Packing instances of Spieksma/Caprara/Toth.330 400
20CBPVBP20-dimensional vector packing instances based on the 2CBP dataset of Spieksma/Caprara/Toth.33 40
0-1 CSP FLK0-1 CSP1D Bin-Packing Problems from FALKENAUER (1996) [demand x 10^6; with binary patterns].160 160
0-1 Fiber0-1 CSPInstances taken from a real application in a paper tube industry in Japan [with binary patterns].39 39
0-1 Cutgen0-1 CSPCUTGEN (Gau and Wascher, 1995) [with binary patterns].1800 1800
0-1 1D-bar0-1 CSP 1D-bar relaxations of the two-dimensional bin packing test dataset of Lodi et al. (1999) [with binary patterns].500 500
BPPCBPPCBPP w/ Conflicts Problems from Muritiba et al. (2010).800 800
BPPC_CS0-1 CSP FPCSP w/ binary patterns and forbidden patterns based on the BPPC dataset of Muritiba et al. (2010).800 800
Card BPP FLKBPP Card1D Bin-Packing Problems from FALKENAUER (1996) [with cardinality constraints].320 320
Card CSP FLKCSP Card1D Bin-Packing Problems from FALKENAUER (1996) [demand x 10^6; with cardinality constraints].320 320
Card FiberCSP CardInstances taken from a real application in a paper tube industry in Japan [with cardinality constraints].279 279
Card CutgenCSP CardCUTGEN (Gau and Wascher, 1995) [with cardinality constraints].7299 7299
Card 1D-barCSP Card 1D-bar relaxations of the two-dimensional bin packing test dataset of Lodi et al. (1999) [with cardinality constraints].1415 1415
Card SchollBPP Card1D Bin-Packing Problems from SCHOLL/KLEIN/JUERGENS (1997) [with cardinality constraints].3748 3748
Card Hard28BPP CardThe 28 VERY hard BPP instances of J. Schoenfield (with m from 140 to 200) [with cardinality constraints].56 56
Card SCH/WAEBPP Card1D Bin-Packing Problems from SCHWERIN/WAESCHER (1998) [with cardinality constraints].1000 1000
Card WAE/GAUBPP Card1D Bin-Packing Problems from WAESCHER/GAU (1996) [with cardinality constraints].131 131
Graph ColoringColoringSome graph coloring instances from OR-Library4 4
TimetablingTimetabling"hard timetabling" instances from OR-Library5 5

Card 1D-bar

chart
NAMEWCMNZIPZLPVFAFRVRATPRETLPNNTIPTTOT
CLASS.110.02.458.0316.7180.3179.988.82121.2462.5553.220.010.000.00.00 0.01
CLASS.230.04.159.6326.195.695.2522.80466.9477.4172.660.030.010.00.03 0.06
CLASS.340.02.458.71,051.4509.6509.3120.53212.0176.2076.320.010.000.00.01 0.02
CLASS.4100.04.158.81,052.9304.8304.4664.591,101.5683.3082.350.060.030.20.10 0.19
CLASS.5100.02.557.32,870.61,536.61,536.3128.32242.0884.7282.640.020.000.00.01 0.03
CLASS.6300.04.359.12,974.5826.9826.51162.532,793.7386.9486.660.180.110.00.65 0.95
CLASS.7100.02.256.92,070.61,500.61,500.3912.8593.7387.7972.850.010.000.00.00 0.01
CLASS.8100.03.058.54,162.41,639.01,638.5843.43515.2483.0282.410.030.010.00.04 0.08
CLASS.9100.02.060.03,961.23,331.63,331.4612.0889.9287.8973.900.010.000.00.00 0.01
CLASS.10100.02.759.52,156.5990.7990.3833.53384.3184.8784.230.020.010.00.02 0.05
NAMEWCMNZIPZLPVFAFRVRATPRETLPNNTIPTTOT
C_1_1.C2 [log]102201086969.007.0036.0065.0047.830.010.0000.00 0.01
C_1_2.C2 [log]10220944848.006.0038.0068.4259.140.010.0000.00 0.01
C_1_2.C3 [log]10320944443.3310.0061.0062.9660.390.010.0000.00 0.01
C_1_3.C2 [log]102201137474.007.0037.0063.1651.320.010.0000.00 0.01
C_1_3.C3 [log]103201137271.7510.0058.0061.5442.570.010.0000.00 0.01
C_1_4.C2 [log]102201095554.507.0038.0063.1658.240.010.0000.00 0.01
C_1_4.C3 [log]103201094747.0010.0061.0062.9657.040.010.0000.00 0.01
C_1_5.C2 [log]102201186666.006.0040.0068.4257.890.010.0000.00 0.01
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C_1_5.C4 [log]104201185453.4012.0094.0064.7152.280.010.0000.01 0.02
C_1_6.C2 [log]102201457878.007.0038.0065.0052.500.010.0000.00 0.01
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C_1_7.C2 [log]102201036059.507.0040.0065.0054.550.010.0000.00 0.01
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C_1_8.C2 [log]10220935857.507.0039.0063.1651.250.010.0000.00 0.01
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C_1_9.C2 [log]102201106867.508.0039.0061.9047.300.010.0000.00 0.01
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C_1_16.C2 [log]10240204121120.507.0065.0063.1653.900.010.0000.00 0.01
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C_1_21.C2 [log]10260328220219.508.0097.0061.9055.090.010.0000.00 0.01
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C_1_23.C2 [log]10260321194194.008.0099.0061.9046.770.010.0000.00 0.01
C_1_24.C2 [log]10260329209209.007.0093.0063.1651.810.010.0000.00 0.01
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C_1_29.C2 [log]10260316184183.508.00100.0061.9054.950.010.0000.00 0.01
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C_1_32.C2 [log]10280390254253.508.00126.0061.9048.150.010.0000.00 0.01
C_1_33.C2 [log]10280404265264.508.00125.0061.9054.710.010.0000.01 0.02
C_1_34.C2 [log]10280425261260.508.00122.0061.9054.650.010.0000.00 0.01
C_1_35.C2 [log]10280436245244.508.00131.0061.9055.290.010.0000.01 0.01
C_1_36.C2 [log]10280475263263.008.00128.0061.9056.310.010.0000.00 0.01
C_1_37.C2 [log]10280453289288.508.00123.0061.9049.590.010.0000.00 0.01
C_1_38.C2 [log]10280437282281.508.00127.0061.9051.530.010.0000.00 0.02
C_1_39.C2 [log]10280460289288.508.00125.0061.9053.360.010.0000.00 0.01
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C_1_45.C2 [log]102100547316315.508.00153.0061.9056.780.010.0000.00 0.01
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C_1_46.C2 [log]102100568355354.508.00154.0061.9051.570.010.0000.01 0.02
C_1_47.C2 [log]102100471278277.508.00161.0061.9056.720.010.0000.00 0.02
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C_1_50.C2 [log]102100585353352.508.00155.0061.9055.970.010.0000.01 0.02
NAMEWCMNZIPZLPVFAFRVRATPRETLPNNTIPTTOT
C_2_51.C2 [log]302201085454.004.0042.0086.2167.190.010.0000.00 0.01
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C_2_52.C7 [log]30720941514.4350.00388.0068.3570.980.020.0100.02 0.05
C_2_53.C2 [log]302201135756.504.0042.0086.2170.830.010.0000.00 0.01
C_2_53.C3 [log]303201133837.675.0062.0091.0782.030.010.0000.00 0.01
C_2_53.C4 [log]304201132928.2517.00135.0079.2774.950.010.0000.01 0.02
C_2_53.C5 [log]305201132322.6027.00219.0074.7768.400.010.0000.02 0.03
C_2_53.C6 [log]306201132221.6746.00347.0064.8957.370.010.0100.01 0.03
C_2_54.C2 [log]302201095554.504.0042.0085.1969.570.010.0000.00 0.01
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C_2_54.C4 [log]304201092827.2512.00104.0084.8182.870.010.0000.01 0.01
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C_2_54.C6 [log]306201091918.1735.00292.0073.0871.260.010.0000.01 0.02
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C_2_57.C2 [log]302201035251.504.0042.0086.2170.420.010.0000.00 0.01
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C_2_58.C3 [log]30320933131.005.0063.0091.2383.240.010.0000.00 0.01
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C_2_59.C5 [log]305201102222.0037.00314.0066.6756.810.020.0000.01 0.03
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C_2_62.C3 [log]303402177372.336.00125.0089.6683.110.020.0000.01 0.02
C_2_62.C4 [log]304402175554.2518.00254.0078.8278.780.020.0000.01 0.03
C_2_62.C5 [log]305402174443.4034.00470.0069.3769.810.030.0100.02 0.06
C_2_62.C6 [log]306402173736.1747.00664.0065.4464.190.030.0100.03 0.07
C_2_62.C7 [log]307402173635.6755.00814.0065.6261.390.040.0100.05 0.10
C_2_63.C2 [log]30240254127127.004.0082.0087.1072.110.010.0000.00 0.01
C_2_63.C3 [log]303402548584.677.00129.0088.1482.380.010.0000.01 0.02
C_2_63.C4 [log]304402546463.5020.00249.0076.7478.970.020.0000.01 0.03
C_2_63.C5 [log]305402545150.8035.00503.0068.7566.970.020.0100.02 0.05
C_2_63.C6 [log]306402544746.3348.00722.0064.9659.640.030.0100.03 0.07
C_2_64.C2 [log]30240206103103.004.0082.0087.1071.130.010.0000.00 0.01
C_2_64.C3 [log]303402066968.675.00123.0091.5382.480.010.0000.01 0.02
C_2_64.C4 [log]304402065251.5018.00235.0078.8279.150.010.0000.01 0.03
C_2_64.C5 [log]305402064241.5734.00474.0068.8167.150.030.0100.05 0.08
C_2_65.C2 [log]30240252126126.004.0082.0087.1071.720.010.0000.00 0.01
C_2_65.C3 [log]303402528484.008.00132.0086.4481.670.010.0000.00 0.02
C_2_65.C4 [log]304402526363.0024.00264.0072.0977.360.020.0000.01 0.03
C_2_65.C5 [log]305402525150.4037.00434.0066.9671.710.030.0100.02 0.05
C_2_65.C6 [log]306402524645.8750.00645.0063.2464.870.040.0100.09 0.13
C_2_66.C2 [log]30240204102102.004.0082.0086.2170.820.010.0000.00 0.01
C_2_66.C3 [log]303402046868.006.00126.0089.2982.050.020.0000.01 0.02
C_2_66.C4 [log]304402045151.0018.00262.0078.0576.650.020.0000.02 0.04
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Arc-flow Vector Packing Solver
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