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Arc-flow Formulation (w/ graph compression) Results: Card Fiber

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 Fiber

chart
NAMEWCMNZIPZLPVFAFRVRATPRETLPNNTIPTTOT
cs_fiber7,598.35.410.9420.1101.2100.8383.23525.3594.3289.820.020.010.00.04 0.07
NAMEWCMNZIPZLPVFAFRVRATPRETLPNNTIPTTOT
fiber06_5180.C2 [log]5,180261989999.004.0014.0086.2174.070.010.0000.00 0.01
fiber06_5180.C3 [log]5,180361986666.005.0021.0094.1287.350.010.0000.00 0.01
fiber06_5180.C4 [log]5,180461985049.506.0028.0097.1493.290.010.0000.00 0.01
fiber06_5180.C5 [log]5,180561984039.6018.0073.0094.4888.790.010.0000.00 0.01
fiber06_5180.C6 [log]5,180661983433.2823.0091.0094.0188.140.010.0000.00 0.01
fiber06_5180.C7 [log]5,180761983433.2825.0098.0093.8687.950.010.0000.00 0.01
fiber06_5180.C8 [log]5,180861983433.2828.00106.0093.2487.180.010.0000.00 0.01
fiber06_5180.C9 [log]5,180961983332.8329.00108.0093.0387.000.010.0000.01 0.01
fiber06_9080.C2 [log]9,080261989999.004.0014.0086.2174.070.010.0000.00 0.01
fiber06_9080.C3 [log]9,080361986666.005.0021.0094.1287.350.010.0000.00 0.01
fiber06_9080.C4 [log]9,080461985049.506.0028.0097.1493.290.010.0000.00 0.01
fiber06_9080.C5 [log]9,080561984039.607.0035.0098.4596.150.010.0000.00 0.01
fiber06_9080.C6 [log]9,080661983333.008.0041.0099.0897.690.010.0000.00 0.01
fiber06_9080.C7 [log]9,080761982928.299.0047.0099.4198.510.010.0000.00 0.01
fiber06_9080.C8 [log]9,080861982524.7546.00182.0098.0296.280.010.0000.01 0.02
fiber06_9080.C9 [log]9,080961982222.0088.00329.0096.9894.600.010.0000.01 0.02
fiber06_9080.C10 [log]9,0801061982019.80110.00407.0096.7094.120.010.0100.01 0.03
fiber06_9080.C11 [log]9,0801161981918.56113.00423.0096.8594.320.010.0100.01 0.03
fiber07_5180.C2 [log]5,180241839291.504.0010.0075.0064.290.010.0000.00 0.01
fiber07_5180.C3 [log]5,180341836161.005.0015.0085.7177.610.010.0000.00 0.01
fiber07_5180.C4 [log]5,180441834645.756.0020.0090.9184.850.010.0000.00 0.01
fiber07_5180.C5 [log]5,180541833736.607.0025.0093.7589.130.010.0000.00 0.01
fiber07_5180.C6 [log]5,180641833332.609.0030.0093.8490.130.010.0000.00 0.01
fiber07_9080.C2 [log]9,080241839291.504.0010.0075.0064.290.010.0000.00 0.01
fiber07_9080.C3 [log]9,080341836161.005.0015.0085.7177.610.010.0000.00 0.01
fiber07_9080.C4 [log]9,080441834645.756.0020.0090.9184.850.010.0000.00 0.01
fiber07_9080.C5 [log]9,080541833736.607.0025.0093.7589.130.010.0000.00 0.01
fiber07_9080.C6 [log]9,080641833130.508.0030.0095.4591.850.010.0000.00 0.01
fiber07_9080.C7 [log]9,080741832726.149.0035.0096.5593.670.010.0000.00 0.01
fiber07_9080.C8 [log]9,080841832322.8810.0040.0097.3094.950.010.0000.00 0.01
fiber07_9080.C9 [log]9,080941832120.3315.0055.0097.0194.920.010.0000.00 0.01
fiber07_9080.C10 [log]9,0801041831918.3021.0073.0096.5794.520.010.0000.00 0.01
fiber08_5180.C2 [log]5,18024455228227.504.0010.0075.0064.290.010.0000.00 0.01
fiber08_5180.C3 [log]5,18034455152151.675.0015.0086.1177.940.010.0000.00 0.01
fiber08_5180.C4 [log]5,18044455114113.756.0020.0091.5585.510.010.0000.00 0.01
fiber08_5180.C5 [log]5,180544559191.0013.0040.0089.0882.910.010.0000.00 0.01
fiber08_5180.C6 [log]5,180644558685.7617.0054.0089.8283.640.010.0000.00 0.01
fiber08_9080.C2 [log]9,08024455228227.504.0010.0075.0064.290.010.0000.00 0.01
fiber08_9080.C3 [log]9,08034455152151.675.0015.0086.1177.940.010.0000.00 0.01
fiber08_9080.C4 [log]9,08044455114113.756.0020.0091.5585.510.010.0000.00 0.01
fiber08_9080.C5 [log]9,080544559191.007.0025.0094.4990.000.010.0000.00 0.01
fiber08_9080.C6 [log]9,080644557675.838.0030.0096.2192.820.010.0000.00 0.01
fiber08_9080.C7 [log]9,080744556565.009.0035.0097.2794.670.010.0000.00 0.01
fiber08_9080.C8 [log]9,080844555756.8812.0044.0097.5495.490.010.0000.00 0.01
fiber08_9080.C9 [log]9,080944555150.5629.0096.0095.6892.870.010.0000.00 0.01
fiber08_9080.C10 [log]9,0801044554847.8937.00123.0095.7192.890.010.0000.01 0.01
fiber09_5180.C2 [log]5,18027269135134.504.0016.0087.1074.600.010.0000.00 0.01
fiber09_5180.C3 [log]5,180372699089.675.0024.0092.9686.210.010.0000.00 0.01
fiber09_5180.C4 [log]5,180472696867.2513.0050.0088.6084.660.010.0000.00 0.01
fiber09_5180.C5 [log]5,180572695453.8030.00118.0078.5771.150.010.0000.01 0.01
fiber09_5180.C6 [log]5,180672695352.9637.00141.0075.1767.130.010.0000.01 0.02
fiber09_9080.C2 [log]9,08027269135134.504.0016.0087.1074.600.010.0000.00 0.01
fiber09_9080.C3 [log]9,080372699089.675.0024.0092.9686.210.010.0000.00 0.01
fiber09_9080.C4 [log]9,080472696867.258.0037.0093.5589.460.010.0000.00 0.01
fiber09_9080.C5 [log]9,080572695453.8011.0050.0094.1591.440.010.0000.00 0.01
fiber09_9080.C6 [log]9,080672694544.8314.0063.0094.6492.720.010.0000.00 0.01
fiber09_9080.C7 [log]9,080772693938.4326.00103.0092.1591.040.010.0000.00 0.01
fiber09_9080.C8 [log]9,080872693433.6262.00256.0083.8581.010.010.0000.01 0.02
fiber09_9080.C9 [log]9,080972693029.8993.00384.0077.8673.820.010.0100.01 0.03
fiber09_9080.C10 [log]9,0801072692928.32104.00432.0076.3171.540.010.0100.01 0.04
fiber10_5180.C2 [log]5,18026349175174.504.0014.0085.7173.580.010.0000.00 0.01
fiber10_5180.C3 [log]5,18036349117116.335.0021.0093.5186.620.010.0000.00 0.01
fiber10_5180.C4 [log]5,180463498887.256.0028.0096.5792.510.010.0000.00 0.01
fiber10_5180.C5 [log]5,180563497069.8015.0064.0095.0790.550.010.0000.00 0.01
fiber10_5180.C6 [log]5,180663496968.8821.0092.0093.7787.620.010.0000.01 0.01
fiber10_9080.C2 [log]9,08026349175174.504.0014.0085.7173.580.010.0000.00 0.01
fiber10_9080.C3 [log]9,08036349117116.335.0021.0093.5186.620.010.0000.00 0.01
fiber10_9080.C4 [log]9,080463498887.256.0028.0096.5792.510.010.0000.00 0.01
fiber10_9080.C5 [log]9,080563497069.807.0035.0097.9695.420.010.0000.00 0.01
fiber10_9080.C6 [log]9,080663495958.1712.0054.0097.9996.100.010.0000.00 0.01
fiber10_9080.C7 [log]9,080763495049.8617.0073.0098.2196.800.010.0000.00 0.01
fiber10_9080.C8 [log]9,080863494443.6229.00115.0097.8996.640.010.0000.00 0.01
fiber10_9080.C9 [log]9,080963493938.7869.00271.0095.9693.710.010.0000.01 0.02
fiber11_5180.C2 [log]5,18027354177177.004.0016.0089.1977.140.010.0000.00 0.01
fiber11_5180.C3 [log]5,18037354118118.005.0024.0095.6589.660.010.0000.00 0.01
fiber11_5180.C4 [log]5,180473548988.5012.0047.0095.3891.520.010.0000.00 0.01
fiber11_5180.C5 [log]5,180573547170.8028.00114.0092.5185.680.010.0000.01 0.01
fiber11_5180.C6 [log]5,180673546766.5728.00120.0093.6887.150.010.0000.01 0.01
fiber11_9080.C2 [log]9,08027354177177.004.0016.0089.1977.140.010.0000.00 0.01
fiber11_9080.C3 [log]9,08037354118118.005.0024.0095.6589.660.010.0000.00 0.01
fiber11_9080.C4 [log]9,080473548988.506.0031.0097.8494.770.010.0000.00 0.01
fiber11_9080.C5 [log]9,080573547170.8010.0047.0098.1596.180.010.0000.00 0.01
fiber11_9080.C6 [log]9,080673545959.0014.0063.0098.4397.090.010.0000.00 0.01
fiber11_9080.C7 [log]9,080773545150.5732.00125.0097.5396.200.010.0000.01 0.01
fiber11_9080.C8 [log]9,080873544544.2574.00311.0095.5092.530.010.0000.01 0.02
fiber11_9080.C9 [log]9,080973544039.33118.00473.0093.9590.170.010.0100.03 0.05
fiber11_9080.C10 [log]9,0801073543837.30123.00502.0094.4190.570.010.0100.02 0.04
fiber13a_5180.C2 [log]5,18028279140139.504.0018.0090.9179.070.010.0000.00 0.01
fiber13a_5180.C3 [log]5,180382799393.005.0027.0096.5391.000.010.0000.00 0.01
fiber13a_5180.C4 [log]5,180482797069.756.0036.0098.3895.530.010.0000.00 0.01
fiber13a_5180.C5 [log]5,180582795655.8024.00108.0096.2692.580.010.0000.00 0.01
fiber13a_9080.C2 [log]9,08028279140139.504.0018.0090.9179.070.010.0000.00 0.01
fiber13a_9080.C3 [log]9,080382799393.005.0027.0096.5391.000.010.0000.00 0.01
fiber13a_9080.C4 [log]9,080482797069.756.0036.0098.3895.530.010.0000.00 0.01
fiber13a_9080.C5 [log]9,080582795655.8010.0054.0098.7397.000.010.0000.00 0.01
fiber13a_9080.C6 [log]9,080682794746.5014.0072.0099.0597.930.010.0000.00 0.01
fiber13a_9080.C7 [log]9,080782794039.8622.00103.0099.1098.300.010.0000.00 0.01
fiber13a_9080.C8 [log]9,080882793534.8845.00186.0098.7798.020.010.0000.01 0.02
fiber13a_9080.C9 [log]9,080982793231.22143.00553.0096.7595.180.010.0100.04 0.06
fiber13b_5180.C2 [log]5,180291557877.504.0020.0092.1680.580.010.0000.00 0.01
fiber13b_5180.C3 [log]5,180391555251.675.0030.0096.7791.670.010.0000.00 0.01
fiber13b_5180.C4 [log]5,180491553938.756.0040.0098.2395.660.010.0000.00 0.01
fiber13b_5180.C5 [log]5,180591553131.0021.0091.0096.3995.080.010.0000.00 0.01
fiber13b_5180.C6 [log]5,180691552827.5347.00183.0094.1293.640.010.0000.01 0.02
fiber13b_9080.C2 [log]9,080291557877.504.0020.0092.1680.580.010.0000.00 0.01
fiber13b_9080.C3 [log]9,080391555251.675.0030.0096.7791.670.010.0000.00 0.01
fiber13b_9080.C4 [log]9,080491553938.756.0040.0098.2395.660.010.0000.00 0.01
fiber13b_9080.C5 [log]9,080591553131.0016.0076.0097.2895.930.010.0000.00 0.01
fiber13b_9080.C6 [log]9,080691552625.8330.00124.0096.6496.100.010.0000.00 0.01
fiber13b_9080.C7 [log]9,080791552322.1449.00187.0096.0896.130.010.0000.01 0.02
fiber13b_9080.C8 [log]9,080891552019.3868.00250.0095.9196.320.020.0000.01 0.02
fiber13b_9080.C9 [log]9,080991551817.2291.00324.0095.6996.400.020.0000.01 0.03
fiber13b_9080.C10 [log]9,0801091551615.59137.00508.0094.5495.430.030.0100.01 0.05
fiber14_5180.C2 [log]5,180210223112111.504.0022.0093.8582.810.010.0000.00 0.01
fiber14_5180.C3 [log]5,1803102237574.335.0033.0097.9993.750.010.0000.00 0.01
fiber14_5180.C4 [log]5,1804102235655.757.0045.0099.0197.250.010.0000.00 0.01
fiber14_5180.C5 [log]5,1805102234746.8834.00162.0097.5995.500.010.0000.01 0.02
fiber14_9080.C2 [log]9,080210223112111.504.0022.0093.8582.810.010.0000.00 0.01
fiber14_9080.C3 [log]9,0803102237574.335.0033.0097.9993.750.010.0000.00 0.01
fiber14_9080.C4 [log]9,0804102235655.756.0044.0099.1697.330.010.0000.00 0.01
fiber14_9080.C5 [log]9,0805102234544.607.0055.0099.5798.670.010.0000.00 0.01
fiber14_9080.C6 [log]9,0806102233837.1716.0090.0099.5098.980.010.0000.00 0.02
fiber14_9080.C7 [log]9,0807102233231.8627.00131.0099.5199.200.020.0000.00 0.03
fiber14_9080.C8 [log]9,0808102232827.8880.00362.0099.0298.640.030.0100.01 0.05
fiber14_9080.C9 [log]9,0809102232726.51248.001,152.0097.6596.800.050.0200.04 0.11
fiber15_5180.C2 [log]5,18027330165165.004.0016.0088.8976.810.010.0000.00 0.01
fiber15_5180.C3 [log]5,18037330110110.005.0024.0095.3789.190.010.0000.00 0.01
fiber15_5180.C4 [log]5,180473308382.506.0032.0097.5994.150.010.0000.00 0.01
fiber15_5180.C5 [log]5,180573306666.0027.00114.0093.2287.460.010.0000.00 0.01
fiber15_5180.C6 [log]5,180673305756.8032.00138.0093.5687.530.010.0000.01 0.01
fiber15_9080.C2 [log]9,08027330165165.004.0016.0088.8976.810.010.0000.00 0.01
fiber15_9080.C3 [log]9,08037330110110.005.0024.0095.3789.190.010.0000.00 0.01
fiber15_9080.C4 [log]9,080473308382.506.0032.0097.5994.150.010.0000.00 0.01
fiber15_9080.C5 [log]9,080573306666.0013.0058.0097.2294.700.010.0000.00 0.01
fiber15_9080.C6 [log]9,080673305555.0020.0084.0097.3795.530.010.0000.00 0.01
fiber15_9080.C7 [log]9,080773304847.1432.00125.0097.1695.690.010.0000.00 0.01
fiber15_9080.C8 [log]9,080873304241.2557.00212.0096.2494.720.010.0000.01 0.02
fiber15_9080.C9 [log]9,080973303736.67139.00553.0092.5188.440.010.0100.01 0.04
fiber15_9080.C10 [log]9,0801073303333.00144.00604.0093.2988.740.010.0100.02 0.04
fiber15_9080.C11 [log]9,0801173303231.81150.00649.0093.7188.890.010.0100.03 0.05
fiber16_5180.C2 [log]5,180213419210209.504.0028.0095.8885.930.010.0000.00 0.01
fiber16_5180.C3 [log]5,180313419140139.675.0042.0098.7995.490.010.0000.00 0.01
fiber16_5180.C4 [log]5,180413419105104.758.0060.0099.3698.080.010.0000.00 0.01
fiber16_5180.C5 [log]5,1805134198483.8058.00331.0097.6295.070.010.0000.01 0.03
fiber16_5180.C6 [log]5,1806134198281.88115.00695.0096.5192.350.020.0100.02 0.05
fiber16_9080.C2 [log]9,080213419210209.504.0028.0095.8885.930.010.0000.00 0.01
fiber16_9080.C3 [log]9,080313419140139.675.0042.0098.7995.490.010.0000.00 0.01
fiber16_9080.C4 [log]9,080413419105104.756.0056.0099.5298.210.010.0000.00 0.01
fiber16_9080.C5 [log]9,0805134198483.807.0070.0099.7699.140.020.0000.00 0.02
fiber16_9080.C6 [log]9,0806134197069.8312.0096.0099.7899.450.030.0000.00 0.04
fiber16_9080.C7 [log]9,0807134196059.8623.00136.0099.7499.570.060.0000.01 0.06
fiber16_9080.C8 [log]9,0808134195352.38139.00738.0098.9198.520.080.0100.03 0.13
fiber16_9080.C9 [log]9,0809134194746.62503.002,666.0096.8595.780.110.0800.19 0.38
fiber17_5180.C2 [log]5,180212528264264.004.0026.0095.0684.620.010.0000.00 0.01
fiber17_5180.C3 [log]5,180312528176176.005.0039.0098.3894.570.010.0000.00 0.01
fiber17_5180.C4 [log]5,180412528132132.006.0052.0099.2997.590.010.0000.00 0.01
fiber17_5180.C5 [log]5,180512528106105.6037.00178.0097.8296.190.010.0000.01 0.02
fiber17_5180.C6 [log]5,1806125288888.0086.00467.0096.2392.360.010.0100.01 0.03
fiber17_5180.C7 [log]5,1807125288382.8090.00499.0096.5092.610.010.0100.03 0.05
fiber17_9080.C2 [log]9,080212528264264.004.0026.0095.0684.620.010.0000.00 0.01
fiber17_9080.C3 [log]9,080312528176176.005.0039.0098.3894.570.010.0000.00 0.01
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fiber29_9080.C9 [log]9,0809203814342.33614.005,734.0079.9969.500.160.1700.45 0.78
fiber29_9080.C10 [log]9,08010203813938.10681.006,809.0080.3666.670.180.2400.86 1.28
fiber29_9080.C11 [log]9,08011203813534.94679.007,044.0082.2167.660.190.3800.99 1.56
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