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

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)
nameWCnmzlb_lplb_splb_crd#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttz2ffd2bfda_2ffda_2bfdr_2ffdr_2bfd
fiber7598.35.4420.110.9 101.2100.8354.77100.01 1659.15965.55866.814380.9126.2614.783.7528.45.08.9 0.000.040.010.040.10  101.2102.44102.441.241.240.02 0.02
nameWCnmzlb_lplb_splb_crd#v1#a1#v2#a2#v3#a3#v4#a4%v%an_bbt_ppt_lpt_ipttz2ffd2bfda_2ffda_2bfdr_2ffdr_2bfd
fiber06_5180518091986 3332.8332.3222.00 416831601120140130291087.013.0 00.010.000.010.02  333434110.03 0.03
fiber06_5180518081986 3433.2832.3224.75 414827599119740130281066.812.8 00.020.000.000.02  343535110.03 0.03
fiber06_5180518071986 3433.2832.3228.29 40781359211833912625986.112.1 00.020.000.000.02  343636220.06 0.06
fiber06_5180518061986 3433.2832.3233.00 38476756911373711923916.011.9 00.010.000.010.02  343838440.12 0.12
fiber06_5180518051986 4039.6032.3239.60 32665151110213410518735.511.2 00.020.000.000.02  404040000.00 0.00
fiber06_5180518041986 5049.5032.3249.50 21041733666926686282.96.7 00.010.000.000.01  505050000.00 0.00
fiber06_5180518031986 6666.0032.3266.00 8516614027620515215.912.7 00.010.000.000.01  666666000.00 0.00
fiber06_5180518021986 9999.0032.3299.00 29544994143441413.825.9 00.010.000.000.01  999999000.00 0.00
fiber06_90809080111986 1918.5618.4418.00 359174454894100511434831134233.15.7 00.030.010.010.05  192222330.16 0.16
fiber06_90809080101986 2019.8018.4419.80 33296921463295271434731104073.35.9 00.030.010.010.05  202323330.15 0.15
fiber06_9080908091986 2222.0018.4422.00 2917609742208703120393883293.05.4 00.030.000.020.05  222424220.09 0.09
fiber06_9080908081986 2524.7518.4424.75 231948993603746779248461822.03.7 00.020.000.010.03  252525000.00 0.00
fiber06_9080908071986 2928.2918.4428.29 1515315123694859421139470.61.5 00.020.000.020.04  292929000.00 0.00
fiber06_9080908061986 3333.0018.4433.00 86817751360275937998410.92.3 00.010.000.040.05  333333000.00 0.00
fiber06_9080908051986 4039.6018.4439.60 452910712143032857351.53.8 00.020.000.000.02  404040000.00 0.00
fiber06_9080908041986 5049.5018.4449.50 21041733666926686282.96.7 00.010.000.000.01  505050000.00 0.00
fiber06_9080908031986 6666.0018.4466.00 8516614027620515215.912.7 00.010.000.000.01  666666000.00 0.00
fiber06_9080908021986 9999.0018.4499.00 29544994143441413.825.9 00.010.000.000.01  999999000.00 0.00
fiber07_5180518061834 3332.6031.4330.50 14630421744624609306.29.9 00.010.000.010.02  333535220.06 0.06
fiber07_5180518051834 3736.6031.4336.60 11223017335222557256.210.9 00.010.000.000.01  373737000.00 0.00
fiber07_5180518041834 4645.7531.4345.75 6613210320618446209.115.2 00.010.000.000.01  464646000.00 0.00
fiber07_5180518031834 6161.0031.4361.00 356755107143351514.322.4 00.010.000.000.01  616161000.00 0.00
fiber07_5180518021834 9291.5031.4391.50 16282546102241025.035.7 00.010.000.000.01  929292000.00 0.00
fiber07_90809080101834 1918.3017.9318.30 613133389318934111321733.45.5 00.020.000.000.02  192020110.05 0.05
fiber07_9080908091834 2120.3317.9320.33 501108274715743910315553.05.1 00.010.000.010.02  212121000.00 0.00
fiber07_9080908081834 2322.8817.9322.88 3707925551162348810402.75.1 00.010.000.000.01  232323000.00 0.00
fiber07_9080908071834 2726.1417.9326.14 26155339582130779353.46.3 00.020.000.000.02  272727000.00 0.00
fiber07_9080908061834 3130.5017.9330.50 17636826955426668304.58.2 00.010.000.000.01  313131000.00 0.00
fiber07_9080908051834 3736.6017.9336.60 11223017335222557256.210.9 00.010.000.000.01  373737000.00 0.00
fiber07_9080908041834 4645.7517.9345.75 6613210320618446209.115.2 00.010.000.000.01  464646000.00 0.00
fiber07_9080908031834 6161.0017.9361.00 356755107143351514.322.4 00.010.000.000.01  616161000.00 0.00
fiber07_9080908021834 9291.5017.9391.50 16282546102241025.035.7 00.010.000.000.01  929292000.00 0.00
fiber08_5180518064554 8685.7683.2875.83 1673302284522570175410.216.4 00.010.000.000.01  869090440.05 0.05
fiber08_5180518054554 9191.0083.2891.00 1192341703362462134010.917.1 00.010.000.000.01  919292110.01 0.01
fiber08_5180518044554 114113.7583.28113.75 7113810520618446208.514.5 00.010.000.000.01  114114114000.00 0.00
fiber08_5180518034554 152151.6783.28151.67 366855106143351513.922.1 00.010.000.000.01  152152152000.00 0.00
fiber08_5180518024554 228227.5083.28227.50 16282546102241025.035.7 00.010.000.000.01  228228228000.00 0.00
fiber08_90809080104554 4847.8947.5145.50 86217291095219553155371234.37.1 00.010.000.010.02  485151330.06 0.06
fiber08_9080908094554 5150.5647.5150.56 671134687717584813429964.37.1 00.020.000.000.02  515151000.00 0.00
fiber08_9080908084554 5756.8847.5156.88 4889766541308348812442.54.5 00.020.000.000.02  575757000.00 0.00
fiber08_9080908074554 6565.0047.5165.00 33065745089730779352.75.3 00.010.000.000.01  656565000.00 0.00
fiber08_9080908064554 7675.8347.5175.83 21141829458426668303.87.2 00.010.000.000.01  767676000.00 0.00
fiber08_9080908054554 9191.0047.5191.00 12725018236022557255.510.0 00.010.000.000.01  919191000.00 0.00
fiber08_9080908044554 114113.7547.51113.75 7113810520618446208.514.5 00.010.000.000.01  114114114000.00 0.00
fiber08_9080908034554 152151.6747.51151.67 366855106143351513.922.1 00.010.000.000.01  152152152000.00 0.00
fiber08_9080908024554 228227.5047.51227.50 16282546102241025.035.7 00.010.000.000.01  228228228000.00 0.00
fiber09_5180518062697 5352.9649.4244.83 149429412955461833916926.239.4 00.010.000.010.02  535454110.02 0.02
fiber09_5180518052697 5453.8049.4253.80 140409401931431543113022.131.8 00.010.000.010.02  545555110.02 0.02
fiber09_5180518042697 6867.2549.4267.25 1143263417802984135211.416.0 00.010.000.000.01  686868000.00 0.00
fiber09_5180518032697 9089.6749.4289.67 7117418139422595257.014.4 00.010.000.000.01  909090000.00 0.00
fiber09_5180518022697 135134.5049.42134.50 316363127153841612.925.4 00.010.000.000.01  135135135000.00 0.00
fiber09_90809080102697 2928.3228.1926.90 43915181343332617572116469937.446.0 00.020.010.030.06  292929000.00 0.00
fiber09_9080908092697 3029.8928.1929.89 42014671311324913454712252329.035.7 00.020.010.020.05  303131110.03 0.03
fiber09_9080908082697 3433.6228.1933.62 384134812283036853236528316.921.0 00.020.000.010.03  343434000.00 0.00
fiber09_9080908072697 3938.4328.1938.43 33111491082265153167261137.99.8 00.010.000.010.02  393939000.00 0.00
fiber09_9080908062697 4544.8328.1944.83 26186584320294513214705.48.1 00.020.000.000.02  454545000.00 0.00
fiber09_9080908052697 5453.8028.1953.80 18858458813843710611545.99.2 00.010.000.000.01  545454000.00 0.00
fiber09_9080908042697 6867.2528.1967.25 12435136683529818396.511.1 00.010.000.000.01  686868000.00 0.00
fiber09_9080908032697 9089.6728.1989.67 7117418139422595257.014.4 00.010.000.000.01  909090000.00 0.00
fiber09_9080908022697 135134.5028.19134.50 316363127153841612.925.4 00.010.000.000.01  135135135000.00 0.00
fiber10_5180518063496 6968.8867.1858.17 33774360312754514021926.212.4 00.010.000.010.02  697171220.03 0.03
fiber10_5180518053496 7069.8067.1869.80 30467757012094111615644.99.5 00.020.000.000.02  707171110.01 0.01
fiber10_5180518043496 8887.2567.1887.25 17537432166626686283.47.5 00.010.000.000.01  888888000.00 0.00
fiber10_5180518033496 117116.3367.18116.33 7715713827920515216.513.4 00.010.000.000.01  117117117000.00 0.00
fiber10_5180518023496 175174.5067.18174.50 28534995143441414.326.4 00.010.000.000.01  175175175000.00 0.00
fiber10_9080908093496 3938.7838.3238.78 1710430833827652105343692714.06.3 00.030.000.010.04  394040110.03 0.03
fiber10_9080908083496 4443.6238.3243.62 137534192779622761179291152.13.4 00.030.000.000.03  444444000.00 0.00
fiber10_9080908073496 5049.8638.3249.86 9502281188241455214317731.83.2 00.020.000.000.02  505050000.00 0.00
fiber10_9080908063496 5958.1738.3258.17 5981385115725034211412542.03.9 00.020.000.000.02  595959000.00 0.00
fiber10_9080908053496 7069.8038.3269.80 343764646137032857352.04.6 00.010.000.000.01  707070000.00 0.00
fiber10_9080908043496 8887.2538.3287.25 17537432166626686283.47.5 00.010.000.000.01  888888000.00 0.00
fiber10_9080908033496 117116.3338.32116.33 7715713827920515216.513.4 00.010.000.000.01  117117117000.00 0.00
fiber10_9080908023496 175174.5038.32174.50 28534995143441414.326.4 00.010.000.000.01  175175175000.00 0.00
fiber11_5180518063547 6766.5765.0659.00 443934712147246156281206.312.8 00.010.000.010.02  676969220.03 0.03
fiber11_5180518053547 7170.8065.0670.80 374796643133446150281147.514.3 00.010.000.010.02  717272110.01 0.01
fiber11_5180518043547 8988.5065.0688.50 260554482998308312474.68.5 00.010.000.000.01  898989000.00 0.00
fiber11_5180518033547 118118.0065.06118.00 11523220441023605244.310.3 00.010.000.000.01  118118118000.00 0.00
fiber11_5180518023547 177177.0065.06177.00 377064124164041610.822.9 00.010.000.000.01  177177177000.00 0.00
fiber11_90809080103547 3837.3037.1235.40 22025321388886931635821235025.69.4 00.030.010.020.06  383939110.03 0.03
fiber11_9080908093547 4039.3337.1239.33 19494813363381811635631184736.19.8 00.020.010.030.06  404040000.00 0.00
fiber11_9080908083547 4544.2537.1244.25 1646416632897452116395743114.57.5 00.030.000.010.04  454545000.00 0.00
fiber11_9080908073547 5150.5737.1250.57 129332922757622066193321252.53.8 00.020.000.010.03  515151000.00 0.00
fiber11_9080908063547 5959.0037.1259.00 8912162185840964712914631.62.9 00.020.000.000.02  595959000.00 0.00
fiber11_9080908053547 7170.8037.1270.80 5401230107022903810310471.93.8 00.020.000.000.02  717171000.00 0.00
fiber11_9080908043547 8988.5037.1288.50 278593517107129776312.25.2 00.010.000.000.01  898989000.00 0.00
fiber11_9080908033547 118118.0037.12118.00 11523220441023605244.310.3 00.010.000.000.01  118118118000.00 0.00
fiber11_9080908023547 177177.0037.12177.00 377064124164041610.822.9 00.010.000.000.01  177177177000.00 0.00
fiber13a_5180518052798 5655.8054.6855.80 64214561266270454168241083.77.4 00.020.000.000.02  565858220.04 0.04
fiber13a_5180518042798 7069.7554.6869.75 370806719150434926361.64.5 00.010.000.000.01  707070000.00 0.00
fiber13a_5180518032798 9393.0054.6893.00 14430027355826695273.59.0 00.010.000.000.01  939393000.00 0.00
fiber13a_5180518022798 140139.5054.68139.50 44868116018464189.120.9 00.010.000.000.01  140140140000.00 0.00
fiber13a_9080908092798 3231.2231.1931.00 4400114649406214761836291405433.24.7 00.050.010.010.07  323333110.03 0.03
fiber13a_9080908082798 3534.8831.1934.88 3671939178991784797292461901.32.0 00.040.000.010.05  353636110.03 0.03
fiber13a_9080908072798 4039.8631.1939.86 2451604351751149174209231070.91.8 00.030.000.000.03  404040000.00 0.00
fiber13a_9080908062798 4746.5031.1946.50 14673483302966075716014731.02.1 00.020.000.000.02  474747000.00 0.00
fiber13a_9080908052798 5655.8031.1955.80 7901798158433864512410541.33.0 00.020.000.000.02  565656000.00 0.00
fiber13a_9080908042798 7069.7531.1969.75 370806719150434926361.64.5 00.010.000.000.01  707070000.00 0.00
fiber13a_9080908032798 9393.0031.1993.00 14430027355826695273.59.0 00.010.000.000.01  939393000.00 0.00
fiber13a_9080908022798 140139.5031.19139.50 44868116018464189.120.9 00.010.000.000.01  140140140000.00 0.00
fiber13b_5180518061559 2827.5327.2125.83 79928792963720776244471855.96.4 00.020.000.010.03  283030220.07 0.07
fiber13b_5180518051559 3131.0027.2131.00 5821851197046275515921913.64.9 00.020.000.000.02  313131000.00 0.00
fiber13b_5180518041559 3938.7527.2138.75 3399229642172381046401.84.3 00.020.000.000.02  393939000.00 0.00
fiber13b_5180518031559 5251.6727.2151.67 15536036177229785303.28.3 00.010.000.000.01  525252000.00 0.00
fiber13b_5180518021559 7877.5027.2177.50 5110310020120524207.819.4 00.010.000.000.01  787878000.00 0.00
fiber13b_90809080101559 1615.5915.5215.50 25101110910549271872197521375425.54.9 00.060.010.010.08  161717110.06 0.06
fiber13b_9080908091559 1817.2215.5217.22 21099008878522360171534913474.33.9 00.050.000.010.06  181818000.00 0.00
fiber13b_9080908081559 2019.3815.5219.38 16626785673516931139415702664.23.9 00.030.000.010.04  202020000.00 0.00
fiber13b_9080908071559 2322.1415.5222.14 12504826490212130107313501954.04.0 00.020.000.010.03  232323000.00 0.00
fiber13b_9080908061559 2625.8315.5225.83 89231813319803577221301263.44.0 00.030.000.000.03  262626000.00 0.00
fiber13b_9080908051559 3131.0015.5231.00 5881867198346575415216762.74.1 00.020.000.000.02  313131000.00 0.00
fiber13b_9080908041559 3938.7515.5238.75 3399229642172381046401.84.3 00.020.000.000.02  393939000.00 0.00
fiber13b_9080908031559 5251.6715.5251.67 15536036177229785303.28.3 00.010.000.000.01  525252000.00 0.00
fiber13b_9080908021559 7877.5015.5277.50 5110310020120524207.819.4 00.010.000.000.01  787878000.00 0.00
fiber14_51805180522310 4746.8846.4744.60 140935993531784368230341622.44.5 00.020.000.010.03  474949220.04 0.04
fiber14_51805180422310 5655.7546.4755.75 709163415753366411137451.02.8 00.020.000.000.02  565656000.00 0.00
fiber14_51805180322310 7574.3346.4774.33 249528498102632875332.06.2 00.010.000.000.01  757575000.00 0.00
fiber14_51805180222310 112111.5046.47111.50 6512812124022584226.217.2 00.010.000.000.01  112112112000.00 0.00
fiber14_90809080922310 2726.5126.5124.78 10567359923408283022353136224811522.33.2 00.170.020.040.23  272929220.07 0.07
fiber14_90809080822310 2827.8826.5127.88 8199266912620862709145492803621.01.4 00.120.010.010.14  283131330.11 0.11
fiber14_90809080722310 3231.8626.5131.86 548716470163433818286249271310.50.8 00.080.000.000.08  323434220.06 0.06
fiber14_90809080622310 3837.1726.5137.17 319888378778199977019816900.51.0 00.050.000.000.05  383838000.00 0.00
fiber14_90809080522310 4544.6026.5144.60 1643414840829026521457550.41.3 00.030.000.000.03  454545000.00 0.00
fiber14_90809080422310 5655.7526.5155.75 715164615863388421166440.82.7 00.020.000.000.02  565656000.00 0.00
fiber14_90809080322310 7574.3326.5174.33 249528498102632875332.06.2 00.010.000.000.01  757575000.00 0.00
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