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Arc-flow Formulation (w/ graph compression) Results: 0-1 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

0-1 Fiber

chart
NAMEWMNZIPZLPVFAFTPRETLPNNTIPTTOT
cs_fiber7,080.010.8418.8211.9211.92104.33357.540.020.010.00.01 0.03
NAMEWMNZIPZLPVFAFTPRETLPNNTIPTTOT
fiber06_5180 [log]5,18061989191.0010.0024.000.010.0000.00 0.01
fiber06_9080 [log]9,08061989191.008.0017.000.010.0000.00 0.01
fiber07_5180 [log]5,1804183105105.006.0011.000.010.0000.00 0.01
fiber07_9080 [log]9,0804183105105.006.0011.000.010.0000.00 0.01
fiber08_5180 [log]5,1804455378378.006.0011.000.010.0000.00 0.01
fiber08_9080 [log]9,0804455378378.006.0011.000.010.0000.00 0.01
fiber09_5180 [log]5,1807269140140.0014.0040.000.010.0000.00 0.01
fiber09_9080 [log]9,0807269140140.009.0020.000.010.0000.00 0.01
fiber10_5180 [log]5,1806349264264.0011.0027.000.010.0000.00 0.01
fiber10_9080 [log]9,0806349264264.008.0017.000.010.0000.00 0.01
fiber11_5180 [log]5,1807354244244.0015.0043.000.010.0000.00 0.01
fiber11_9080 [log]9,0807354244244.009.0020.000.010.0000.00 0.01
fiber13a_5180 [log]5,1808279158158.0022.0065.000.010.0000.00 0.01
fiber13a_9080 [log]9,0808279158158.0010.0023.000.010.0000.00 0.01
fiber13b_5180 [log]5,1809155111111.0022.0062.000.010.0000.00 0.01
fiber13b_9080 [log]9,0809155111111.0011.0026.000.010.0000.00 0.01
fiber14_5180 [log]5,180102237777.0036.00114.000.010.0000.00 0.01
fiber14_9080 [log]9,080102237777.0019.0051.000.010.0000.00 0.01
fiber15_5180 [log]5,1807330193193.0015.0041.000.010.0000.00 0.01
fiber15_9080 [log]9,0807330193193.009.0020.000.010.0000.00 0.01
fiber16_5180 [log]5,18013419136136.0089.00310.000.010.0000.01 0.02
fiber16_9080 [log]9,08013419136136.0080.00249.000.010.0000.01 0.02
fiber17_5180 [log]5,18012528206206.0048.00160.000.010.0000.01 0.02
fiber17_9080 [log]9,08012528206206.0042.00125.000.010.0000.00 0.01
fiber18_5180 [log]5,18012494269269.0065.00221.000.010.0000.01 0.02
fiber18_9080 [log]9,08012494269269.0052.00158.000.010.0000.00 0.01
fiber19_5180 [log]5,18012667414414.0052.00178.000.010.0000.01 0.02
fiber19_9080 [log]9,08012667414414.0049.00148.000.010.0000.00 0.01
fiber20_5180 [log]5,180171773535.00160.00605.000.020.0100.02 0.05
fiber20_9080 [log]9,080171773535.00466.001,540.000.040.0200.06 0.12
fiber23_5180 [log]5,18015719333333.0094.00361.000.010.0000.01 0.03
fiber23_9080 [log]9,08015719333333.00218.00742.000.020.0100.02 0.05
fiber26_5180 [log]5,180151,121555555.00103.00391.000.010.0000.02 0.03
fiber26_9080 [log]9,080151,121555555.00207.00682.000.020.0100.01 0.04
fiber28a_5180 [log]5,18017500187187.00206.00790.000.020.0100.02 0.06
fiber28a_9080 [log]9,08017500187187.00411.001,357.000.040.0200.03 0.09
fiber28b_5180 [log]5,18019731287287.00165.00663.000.020.0100.02 0.05
fiber29_5180 [log]5,180203819393.00287.001,140.000.030.0200.04 0.09
fiber29_9080 [log]9,080203819393.001,023.003,470.000.100.0900.18 0.37
Arc-flow Vector Packing Solver
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