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Cut-and-branch and branch-and-cut Description Solving a MIP by cut-and-branch or branch-and-cut: using the default functionality 'addcuts' for local cuts (clean.mos/cleanm.mos), or alternatively using 'storecuts' and 'loadcuts' to obtain global cuts (cleansl.mos/cleanslcm.mos) Further explanation of this example: Xpress Whitepaper 'Embedding Optimization Algorithms', Section 'Office cleaning: callbacks for branch-and-cut', and 'Mosel User Guide', Section 11.1 Cut generation
Source Files By clicking on a file name, a preview is opened at the bottom of this page.
Data Files cldata.dat ! Data for `clean.mos` ! [NUM LOW UPP] AREADATA: [ [34 1 2] ! A [64 1 2] ! B [23 1 2] ! C [441 1 2] ] ! D ! A B C D ADJACENT: [0 1 1 1 ! A 1 0 1 0 ! B 1 1 0 0 ! C 1 0 0 0] ! D ! PRICE_1 PRICE_2 PRICE_3 PRICE_4 Area Ref. Site No. PRICE: [2109.8823142775 2133.85304108938 1665.58 0 ! A 1 413.46750159375 364.088862941188 358.19 0 ! A 2 525.0187293775 408.80021125563 457.46 0 ! A 3 354.0996806575 254.442741786503 168.5 0 ! A 4 8381.75194424423 5975.65083285674 6346.59 0 ! A 5 187.25299105 138.453965094881 157.67 0 ! A 6 96.9447614125 133.583020662735 183.3 0 ! A 7 289.97234089375 309.501581038561 341.97 0 ! A 8 265.449857375 219.411039733914 192.18 0 ! A 9 666.321597875 321.529628748334 400 0 ! A 10 647.0948900775 536.952802908974 570.42 0 ! A 11 441.6935177275 432.417973547884 445.62 0 ! A 12 2045.310810425 2330.50051117656 1564.66 0 ! A 13 1092.748784905 881.965977985482 508.14 0 ! A 14 126.4514107 77.5805449196914 108.77 0 ! A 15 80.6137254375 71.568677697054 108.77 0 ! A 16 329.9002048725 224.354936713942 176.18 0 ! A 17 1879.517200675 1666.64314013756 1902.48 0 ! A 18 2583.0965482025 2684.1188268965 1877.23 0 ! A 19 833.93255295 506.812422039196 537.04 0 ! A 20 678.70992251875 506.601803797638 323.07 0 ! A 21 127.3455515875 86.2730514775583 82.1 0 ! A 22 417.65742779 1289.21699497764 1326.98 0 ! A 23 1419.1616126775 1358.73259517707 948.19 0 ! A 24 887.02440482125 443.469560382063 596.23 0 ! A 25 518.381742325 352.573073620838 251.28 0 ! A 26 963.5771689275 661.588821218077 633.43 0 ! A 27 259.97838747 138.169949587326 151.38 0 ! A 28 574.94085445 501.644788841744 770.33 0 ! A 29 1450.46459312594 1464.97470876897 1315.71 0 ! A 30 374.875263875 302.060920517383 353.01 0 ! A 31 515.58152494 268.402064960897 179.08 0 ! A 32 126.4514107 136.889533536213 122.67 0 ! A 33 65.41333035 41.1022115604942 51.66 0 ! A 34 ! 559.098542925 534.682680529019 567.22 0 ! B 35 63.251704275 46.1448378075359 65.28 0 ! B 36 373.56528694125 421.686495295343 181.94 0 ! B 37 250.899557955 182.48373408986 150.36 0 ! B 38 214.734632258125 85.422560079607 97.67 0 ! B 39 4300 4127.93196325883 3302.66 0 ! B 40 1750.3157420375 1771.74301527159 1274.72 0 ! B 41 92.5716814125 39.5783128754923 58.56 0 ! B 42 1316.57993152813 1074.01538588616 1179.15 0 ! B 43 505.87437725375 427.676093526008 532.85 0 ! B 44 185.80920870975 189.415038324872 177.73 0 ! B 45 633.330042575 538.894441633976 636.72 0 ! B 46 747.8297239 658.114275199523 493.96 0 ! B 47 204.720593963438 160.995641058591 162.55 0 ! B 48 250.899557955 390.993357684902 284.07 0 ! B 49 1543.0945384625 2084.53329766426 909.09 0 ! B 50 2702.90713090875 2026.21662085725 2594.54 0 ! B 51 220.113581960625 143.072693296873 125.65 0 ! B 52 250.899557955 212.897772361278 154.9 0 ! B 53 307.67176451625 219.914263856554 156.72 0 ! B 54 220.113581960625 143.382231349467 161.53 0 ! B 55 379.0889755625 255.940791317327 338.53 0 ! B 56 225.81232853125 142.545834817067 279.18 0 ! B 57 440.22716392125 322.372545174589 378.1 0 ! B 58 2936.36550824437 2159.78179688619 2561.33 0 ! B 59 186.011214619 186.5645808636 92.09 0 ! B 60 657.011421444687 380.739610453513 410.59 0 ! B 61 107.23166998125 71.6120519612006 192.61 0 ! B 62 250.899557955 227.02228150542 157.82 0 ! B 63 33.9317271375 15.842656380399 21.49 0 ! B 64 63.251704275 46.4660290574032 62.29 0 ! B 65 438.7931798375 345.35063011755 542.08 0 ! B 66 307.67176451625 220.161894298629 255.55 0 ! B 67 137.61589711875 97.2628333710992 137.65 0 ! B 68 337.871340967875 242.92557871466 162.16 0 ! B 69 125.4100558065 77.7216744501224 132.16 0 ! B 70 307.67176451625 227.098027287702 175.12 0 ! B 71 467.465639915625 366.219222898744 285.26 0 ! B 72 703.567166125625 591.529335545789 555.95 0 ! B 73 319.3847712875 262.717447913513 436.19 0 ! B 74 368.0709174195 263.489583548476 165.8 0 ! B 75 122.6903058065 85.5371129997621 177.94 0 ! B 76 769.07855787875 643.416006490112 897.68 0 ! B 77 281.685533949375 175.891586450513 150.36 0 ! B 78 352.5780038595 334.420442360763 375.75 0 ! B 79 368.0709174195 234.781769649661 160.35 0 ! B 80 107.23166998125 85.1273457486632 116.91 0 ! B 81 1573.3316292125 1176.52382041012 1350.32 0 ! B 82 744.76539889125 641.486674016419 648.98 0 ! B 83 1242.4248580125 1292.48378370796 1097.25 0 ! B 84 155.609632258125 122.268532357721 124.6 0 ! B 85 155.609632258125 110.336732912639 139.46 0 ! B 86 1685.17559008375 788.2948073547 1293.59 0 ! B 87 92.5716814125 70.5916688748877 62.29 0 ! B 88 122.95590855 110.088822842581 58.6 0 ! B 89 397.9180481975 324.807338912906 674.29 0 ! B 90 617.9057926625 586.235815554411 515.75 0 ! B 91 1084.8767677875 778.380248959017 954.46 0 ! B 92 250.899557955 212.921078755826 155.52 0 ! B 93 319.3847712875 321.027191153905 639.77 0 ! B 94 204.720593963438 122.71232495391 140.98 0 ! B 95 230 227.190281766122 407.44 0 ! 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C 116 191.958965925 149.939225302089 140.29 0 ! C 117 260.676856537 260.671988783307 531.93 0 ! C 118 324.63400817125 297.585295548896 162.96 0 ! C 119 164.504629085625 81.2608819448173 119.63 0 ! C 120 79.375228365625 123.58262661159 55.89 0 ! C 121 ! 5.99005285475125 6.21936833447739 0 5.634785 ! D 122 100.49716028125 151.918541751095 0 103.63 ! D 123 32.963498084375 42.5842621225306 0 51.72 ! D 124 4.4947279430825 4.6861564578996 0 1.394283 ! D 125 45.21560440625 62.7100296192402 0 70.18 ! D 126 114.11061175 72.7889508767315 0 121.98 ! D 127 141.5740146875 80.6359119156988 0 122 ! D 128 29.787026075 36.3472026056425 0 51.72 ! D 129 26.15677235 41.3723684550266 0 51.72 ! D 130 4.64117471858312 4.88784383116017 0 1.393053 ! D 131 165.32735046875 93.1600067281966 0 147.19 ! D 132 68.7324401875 95.1241652677634 0 72.41 ! D 133 21.5522943002612 20.7343182374586 0 51.72 ! D 134 114.11061175 73.5259446145228 0 76.24 ! D 135 55.9044699183231 21.0643521209759 0 51.72 ! 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