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Arc Flow Formulation (w/ graph compression) Results: Bin Packing

Results for Brandão, F. (2012). Bin Packing and Related Problems: Pattern-Based Approaches. Master’s thesis
17,487 benchmark instances solved in 5 days (less than 25 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, Download Logs

NameTypeDescription#Solved#Total
Bin PackingBPP1D Bin-Packing Problems from FALKENAUER (1996).160 160
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
Cutting StockCSP1D Bin-Packing Problems from FALKENAUER (1996) [demand x 10^6].160 160
CutgenCSPCUTGEN (Gau and Wascher, 1995).1800 1800
FiberCSPInstances taken from a real application in a paper tube industry in Japan.39 39
Bin Packing CardCardInstances from FALKENAUER (1996) [with cardinality constraints].720 720
Scholl CardCard1D Bin-Packing Problems from SCHOLL/KLEIN/JUERGENS (1997) [with cardinality constraints].3748 3748
Hard28 CardCardThe 28 VERY hard BPP instances of J. Schoenfield (with m from 140 to 200) [with cardinality constraints].56 56
SCH/WAE CardCard1D Bin-Packing Problems from SCHWERIN/WAESCHER (1998) [with cardinality constraints].1000 1000
WAE/GAU CardCard1D Bin-Packing Problems from WAESCHER/GAU (1996) [with cardinality constraints].131 131
Cutting Stock CardCardInstances from FALKENAUER (1996) [demand x 10^6; with cardinality constraints].320 320
Cutgen CardCardCUTGEN (Gau and Wascher, 1995) [with cardinality constraints].7299 7299
Fiber CardCardInstances taken from a real applications in a paper tube industry in Japan [with cardinality constraints].279 279
Two-Constraint BPP2CBPTwo-Constraint Bin Packing instances of Spieksma/Caprara/Toth.320 400
total run time
graph reduction (vertices)graph reduction (arcs)
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
u120150.0120.063.2 49.048.5048.46 127.92308.53400.68853.9102.71973.8100.21968.878.385.3 0.000.030.030.100.16  49.049.849.80.70.70.01 0.01
u250150.0250.077.2 101.6101.09101.07 131.83103.24593.812027.2111.32730.8109.52727.283.187.9 0.000.040.050.200.29  101.6103.1103.11.51.50.01 0.01
u500150.0500.080.8 201.2200.64200.64 132.93334.84934.412937.9113.82944.8111.92940.984.288.2 0.000.040.060.200.30  201.2203.9203.92.72.70.01 0.01
u1000150.01000.081.0 400.6400.01400.01 133.03348.04953.012988.0114.02960.0112.02956.084.288.3 0.000.040.050.240.33  400.6405.4405.44.84.80.01 0.01
t601000.060.050.0 20.020.0020.00 547.15275.48833.521848.2123.2849.054.4690.79.913.1 0.000.040.010.030.08  20.023.223.23.23.20.16 0.16
t1201000.0120.086.2 40.040.0040.00 589.010590.517992.545397.3172.62145.195.61971.816.218.6 0.800.080.030.190.30  40.045.845.85.85.80.14 0.14
t2491000.0249.0140.1 83.083.0083.00 643.019250.032449.282862.4206.95723.6150.35600.523.429.1 0.000.160.110.771.04  83.095.095.012.012.00.14 0.14
t5011000.0501.0194.2 167.0167.00167.00 697.229873.750448.7129376.4229.311883.1202.211827.329.039.6 0.000.270.271.682.22  167.0190.1190.123.123.10.14 0.14
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
u120_0015012058 4847.2747.19 1282136309580701031809102180779.784.6 00.030.030.100.16  484949110.02 0.02
u120_0115012059 4948.0548.03 1282171317282591041866100185878.185.6 00.030.030.070.13  494949000.00 0.00
u120_0215012061 4645.2945.29 1322507354593331102116108211281.884.2 00.030.040.140.21  464747110.02 0.02
u120_0315012068 4948.6348.57 1302559374697911052218104221680.086.6 00.030.030.100.16  495050110.02 0.02
u120_0415012062 5049.0949.03 128218632178364102188699188077.386.0 00.030.030.090.15  505050000.00 0.00
u120_0515012061 4847.4947.48 1282219322184051041920100191278.186.2 00.030.030.090.15  484949110.02 0.02
u120_0615012065 4847.5847.58 1302477361694491062138104213480.086.2 00.040.040.130.21  484949110.02 0.02
u120_0715012064 4948.6648.63 12421793293851795189193188775.086.6 00.030.030.110.17  495050110.02 0.02
u120_0815012067 5049.9149.85 1302547375597971082213104220580.086.6 00.030.030.100.16  505151110.02 0.02
u120_0915012064 4645.8045.80 1302502363495101092160105215280.886.0 00.030.040.220.29  464747110.02 0.02
u120_1015012064 5251.2851.20 12721943279849898188996188575.685.9 00.030.030.070.13  525252000.00 0.00
u120_1115012060 4948.3948.31 12720413006779996167795167574.882.1 00.030.030.070.13  495050110.02 0.02
u120_1215012063 4847.8747.87 1282480365395301052160104215881.287.0 00.030.040.140.21  484949110.02 0.02
u120_1315012062 4948.0148.01 1282256331186221031931101192778.985.4 00.030.030.100.16  494949000.00 0.00
u120_1415012061 5049.1749.15 12521273168821398177697177477.683.4 00.030.030.080.14  505050000.00 0.00
u120_1515012063 4847.3847.35 1292293333987131051957102195179.185.1 00.030.030.090.15  484949110.02 0.02
u120_1615012064 5251.3351.25 12421153200826792179091178873.484.5 00.030.030.060.12  525252000.00 0.00
u120_1715012064 5251.5051.35 12421113246835599177292175874.283.3 00.030.020.070.12  525353110.02 0.02
u120_1815012066 4948.3848.37 1272413362093991022064100206078.785.4 00.030.030.090.15  495050110.02 0.02
u120_1915012068 4948.8648.81 13126573896101871102243107223781.784.2 00.040.040.090.17  495050110.02 0.02
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
u250_0015025071 9998.5598.55 13026483903101941082305106230181.586.9 00.030.040.180.25  99100100110.01 0.01
u250_0115025078 10099.0399.03 13332194732124171132830112282884.287.9 00.040.060.180.28  100101101110.01 0.01
u250_0215025076 102101.42101.42 13130514547118831102729108272582.489.3 00.030.040.140.21  102104104220.02 0.02
u250_0315025079 10099.4399.43 13232084740124241122821110281783.387.8 00.040.050.200.29  100101101110.01 0.01
u250_0415025076 101100.61100.61 13230074428115991132653110264783.388.0 00.030.050.220.30  101102102110.01 0.01
u250_0515025078 101100.83100.83 13231194621120971112753110275183.388.2 00.040.060.380.48  101104104330.03 0.03
u250_0615025078 102101.03101.03 13332424763125021142855112285184.287.9 00.040.050.210.30  102103103110.01 0.01
u250_0715025077 103102.89102.79 13130464526118361102684108268082.488.0 00.040.040.180.26  103105105220.02 0.02
u250_0815025078 105104.92104.91 13131114673121951092721109272183.287.5 00.040.040.130.21  105107107220.02 0.02
u250_0915025080 101100.20100.20 13232244814125881112795110279383.386.6 00.040.050.120.21  101102102110.01 0.01
u250_1015025077 105104.39104.37 13130604557119121102689108268582.487.7 00.040.040.110.19  105106106110.01 0.01
u250_1115025080 101100.71100.71 13232354819126091122858109285282.688.2 00.040.060.180.28  101103103220.02 0.02
u250_1215025076 105104.98104.93 12929094373113971062582104257880.688.6 00.040.040.490.57  105107107220.02 0.02
u250_1315025075 103102.04101.96 13230214429116151122641110263783.387.3 00.040.040.110.19  103104104110.01 0.01
u250_1415025079 10099.1799.17 13332214743124411142833112282984.287.8 00.040.050.170.26  100101101110.01 0.01
u250_1515025078 105104.86104.81 13130844594120101102756108275282.489.2 00.040.040.150.23  105107107220.02 0.02
u250_1615025076 9796.5196.51 13331464599120781142758112275484.287.5 00.040.050.200.29  979999220.02 0.02
u250_1715025076 10099.1799.17 13230934565119591112712109270882.687.6 00.040.060.270.37  100101101110.01 0.01
u250_1815025076 10099.7099.70 13330794499118111132689111268583.587.2 00.040.050.210.30  100102102220.02 0.02
u250_1915025081 102101.36101.36 13333414951129771132952112295084.288.3 00.040.060.160.26  102103103110.01 0.01
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
u500_0015050081 198197.58197.58 13333484953129881142960112295684.288.3 00.040.060.180.28  198201201330.02 0.02
u500_0115050081 201200.85200.85 13333484953129881142960112295684.288.3 00.050.060.210.32  201204204330.01 0.01
u500_0215050080 202201.44201.44 13332744832126721142886112288284.288.0 00.050.050.220.32  202205205330.01 0.01
u500_0315050081 204203.81203.81 13333474952129851142959112295584.288.3 00.040.060.270.37  204207207330.01 0.01
u500_0415050080 206205.11205.11 13232344821126121112805110280383.386.7 00.040.050.210.30  206209209330.01 0.01
u500_0515050081 206205.09205.09 13333474953129871142959112295584.288.3 00.040.060.200.30  206207207110.00 0.00
u500_0615050081 207206.91206.89 13333464953129861142959112295584.288.3 00.050.050.170.27  207210210330.01 0.01
u500_0715050080 204203.98203.98 13332964859127481142908112290484.288.1 00.040.060.230.33  204207207330.01 0.01
u500_0815050081 196195.68195.68 13333484953129881142960112295684.288.3 00.050.050.210.31  196199199330.02 0.02
u500_0915050081 202201.06201.06 13333484953129881142960112295684.288.3 00.040.060.170.27  202204204220.01 0.01
u500_1015050081 200199.07199.07 13333474952129851142959112295584.288.3 00.050.060.160.27  200202202220.01 0.01
u500_1115050081 200199.43199.43 13333474953129871142959112295584.288.3 00.040.050.150.24  200203203330.01 0.01
u500_1215050081 199198.62198.62 13333484953129881142960112295684.288.3 00.050.050.160.26  199202202330.02 0.02
u500_1315050081 196195.59195.59 13333454952129831142957112295384.288.3 00.040.050.240.33  196198198220.01 0.01
u500_1415050081 204203.03203.03 13333484953129881142960112295684.288.3 00.050.060.150.26  204206206220.01 0.01
u500_1515050080 201200.13200.13 13333374933129371142949112294584.288.3 00.040.060.220.32  201204204330.01 0.01
u500_1615050081 202201.01201.01 13333464952129841142958112295484.288.3 00.040.060.180.28  202205205330.01 0.01
u500_1715050081 198197.43197.43 13333484953129881142960112295684.288.3 00.040.060.200.30  198201201330.02 0.02
u500_1815050081 202201.29201.29 13333484953129881142960112295684.288.3 00.050.060.280.39  202205205330.01 0.01
u500_1915050081 196195.63195.63 13333474953129871142959112295584.288.3 00.040.060.230.33  196199199330.02 0.02
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
u1000_00150100081 399398.43398.43 13333484953129881142960112295684.288.3 00.040.050.260.35  399403403440.01 0.01
u1000_01150100081 406405.25405.25 13333484953129881142960112295684.288.3 00.040.050.210.30  406411411550.01 0.01
u1000_02150100081 411410.20410.20 13333484953129881142960112295684.288.3 00.040.050.200.29  411416416550.01 0.01
u1000_03150100081 411410.87410.87 13333484953129881142960112295684.288.3 00.040.060.300.40  411416416550.01 0.01
u1000_04150100081 397396.74396.74 13333484953129881142960112295684.288.3 00.050.060.260.37  397402402550.01 0.01
u1000_05150100081 399398.49398.49 13333484953129881142960112295684.288.3 00.040.050.290.38  399404404550.01 0.01
u1000_06150100081 395394.21394.21 13333484953129881142960112295684.288.3 00.040.050.230.32  395399399440.01 0.01
u1000_07150100081 404403.16403.16 13333484953129881142960112295684.288.3 00.050.050.270.37  404408408440.01 0.01
u1000_08150100081 399398.43398.43 13333484953129881142960112295684.288.3 00.040.050.170.26  399404404550.01 0.01
u1000_09150100081 397396.93396.93 13333484953129881142960112295684.288.3 00.040.050.260.35  397404404770.02 0.02
u1000_10150100081 400399.34399.34 13333484953129881142960112295684.288.3 00.040.050.280.37  400404404440.01 0.01
u1000_11150100081 401400.52400.52 13333484953129881142960112295684.288.3 00.040.050.290.38  401405405440.01 0.01
u1000_12150100081 393392.24392.24 13333484953129881142960112295684.288.3 00.040.050.200.29  393398398550.01 0.01
u1000_13150100081 396395.27395.27 13333484953129881142960112295684.288.3 00.040.050.240.33  396401401550.01 0.01
u1000_14150100081 394393.89393.89 13333484953129881142960112295684.288.3 00.040.050.210.30  394400400660.02 0.02
u1000_15150100081 402401.81401.81 13333484953129881142960112295684.288.3 00.040.050.170.26  402408408660.01 0.01
u1000_16150100081 404403.03403.03 13333484953129881142960112295684.288.3 00.040.050.150.24  404407407330.01 0.01
u1000_17150100081 404403.80403.80 13333484953129881142960112295684.288.3 00.040.060.240.34  404409409550.01 0.01
u1000_18150100081 399398.19398.19 13333484953129881142960112295684.288.3 00.040.050.270.36  399403403440.01 0.01
u1000_19150100081 400399.33399.33 13333484953129881142960112295684.288.3 00.040.050.240.33  400406406660.01 0.01
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
t60_0010006050 2020.0020.00 54753438937221231258345567010.112.5 00.040.010.060.11  202323330.15 0.15
t60_0110006056 2020.0020.00 555636610785268261499895777210.312.1 00.050.010.060.12  202323330.15 0.15
t60_0210006048 2020.0020.00 549523287962172695729546239.811.9 00.040.010.020.07  202323330.15 0.15
t60_0310006049 2020.0020.00 54049518227203251108155669810.414.1 00.040.010.030.08  202323330.15 0.15
t60_0410006048 2020.0020.00 5404713780919251115827506819.314.4 00.040.010.020.07  202424440.20 0.20
t60_0510006050 2020.0020.00 5465206872321560122853536929.713.3 00.040.010.030.08  202323330.15 0.15
t60_0610006051 2020.0020.00 54751658595212611038485573010.114.1 00.040.010.040.09  202323330.15 0.15
t60_0710006050 2020.0020.00 54752278742216171318765571010.113.6 00.040.010.030.08  202323330.15 0.15
t60_0810006049 2020.0020.00 5454946822020296117806526579.513.3 00.040.010.020.07  202323330.15 0.15
t60_0910006049 2020.0020.00 54648718051198811208185567510.113.9 00.040.010.020.07  202323330.15 0.15
t60_1010006053 2020.0020.00 55355049214228261339555777510.314.1 00.040.010.080.13  202323330.15 0.15
t60_1110006046 2020.0020.00 5404403722617775118776526319.614.3 00.040.010.020.07  202424440.20 0.20
t60_1210006053 2020.0020.00 55557159594237931369295774710.313.1 00.050.010.030.09  202323330.15 0.15
t60_1310006051 2020.0020.00 5515671961423797133914547309.812.9 00.040.010.030.08  202323330.15 0.15
t60_1410006050 2020.0020.00 55255489352231481288385667110.112.1 00.040.010.030.08  202323330.15 0.15
t60_1510006051 2020.0020.00 551600010198252941338655668510.211.4 00.050.010.030.09  202323330.15 0.15
t60_1610006046 2020.0020.00 5394763793819561116770476158.712.9 00.040.010.020.07  202424440.20 0.20
t60_1710006048 2020.0020.00 53750938535210891228075465710.112.9 00.040.010.020.07  202424440.20 0.20
t60_1810006050 2020.0020.00 55051008506210121268855672910.214.3 00.040.010.030.08  202323330.15 0.15
t60_1910006051 2020.0020.00 55356929608238021328475666610.111.7 00.040.010.030.08  202323330.15 0.15
nameWnmzlb_lplb_sp#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttzffdbfda_ffda_bfdr_ffdr_bfd
t120_00100012086 4040.0040.00 589107651832146229199214696191716.317.8 00.080.030.160.27  404545550.12 0.12
t120_01100012085 4040.0040.00 58897491642741427149211493197815.820.3 00.070.030.160.26  404545550.12 0.12
t120_02100012091 4040.0040.00 5941168519910503171602262101211717.018.1 00.090.030.230.35  404545550.12 0.12
t120_03100012086 4040.0040.00 589107821829946202165205897189816.517.6 00.080.030.070.18  404646660.15 0.15
t120_04100012092 4040.0040.00 5951202320567519671602363101221817.018.4 00.090.030.260.38  404646660.15 0.15
t120_05100012088 4040.0040.00 591111951906748147168217298200916.617.9 00.090.030.100.22  404646660.15 0.15
t120_06100012086 4040.0040.00 589102901738643884195217993195515.819.0 00.080.030.170.28  404545550.12 0.12
t120_07100012087 4040.0040.00 590104151766344561148218395206116.119.8 00.090.030.270.39  404646660.15 0.15
t120_08100012086 4040.0040.00 589103211748444111187219297200316.519.4 00.080.030.410.52  404646660.15 0.15
t120_09100012085 4040.0040.00 58899691681342419153204593190215.819.1 00.080.030.080.19  404545550.12 0.12
t120_10100012083 4040.0040.00 586101841729643604191202992180915.717.8 00.080.020.080.18  404646660.15 0.15
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