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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.
clean.mos[download]
cleanm.mos[download]
cleansl.mos[download]
cleanslcm.mos[download]

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   !  B   96
862.62283012875  643.639359437865  951.12  0   !  B   97
754.520504501875  652.044901619265  384.39  0   !  B   98
!
298.007421331875  361.181976987942  190.94  0   !  C   99
2996.67502877297  2615.55227152992  1675.14  0   !  C   100
144.56047444375  124.258008315291  75.92  0   !  C   101
155.7088049375  244.953775490091  153.31  0   !  C   102
424.82581615625  335.502175642224  549.19  0   !  C   103
3681.70622081781  3035.40661832388  2580.17  0   !  C   104
714.2423811875  719.969404070147  588.81  0   !  C   105
3295.25678469562  2994.11290831657  1906.83  0   !  C   106
1809.5620621175  1243.4294497872  1107.2  0   !  C   107
402.7590749  255.689292326068  384.3  0   !  C   108
4272.9308207215  4636.54954234449  2947.02  0   !  C   109
97.9897329625  100.571689209523  83.58  0   !  C   110
324.63400817125  424.560277540273  257.2  0   !  C   111
216.508623739687  168.483154063933  153.44  0   !  C   112
298.007421331875  190.718830431216  106.9  0   !  C   113
178.649287225  144.975794210529  282.27  0   !  C   114
1157.85678680625  892.23104271315  966.6  0   !  C   115
325.46175817125  190.691535321981  211.78  0   !  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   !  D   136
24.795427203125  35.8727013774164  0  51.72   !  D   137
86.0559588125  127.935741748388  0  88.05   !  D   138
4.73559681170812  4.80533536028085  0  1.394283   !  D   139
7.7786128671875  12.2260906919044  0  35.6   !  D   140
35.0055158046875  35.9643774561712  0  51.72   !  D   141
169.037417625  87.7120803113684  0  128.26   !  D   142
107.303886015625  140.712433093206  0  91.7   !  D   143
87.1202088125  98.3910673648902  0  71.9573   !  D   144
24.795427203125  35.2676392576347  0  6.45   !  D   145
21.3920643359375  26.2637025199941  0  51.72   !  D   146
0.596846811708125  4.6861564578996  0  1.394283   !  D   147
29.787026075  47.0484344635697  0  51.72   !  D   148
5  4.78700014452989  0  1.394283   !  D   149
1.30982614595875  6.23770355022835  0  5.634785   !  D   150
100.49716028125  141.326662820863  0  80.18   !  D   151
51.7657199183231  25.7961545183446  0  51.72   !  D   152
23.43408205625  35.6893492199068  0  51.72   !  D   153
81.674828225  84.0123080152746  0  47.7996   !  D   154
24.26183205625  35.4234885915178  0  40   !  D   155
0.596846811708125  4.76866492877893  0  1.394283   !  D   156
42.4929141125  35.9643774561712  0  51.72   !  D   157
4.529804583835  12.1435822210251  0  5.634785   !  D   158
34.5905886005225  30.7204766810983  0  51.72   !  D   159
277.945029375  127.208888576686  0  169.28   !  D   160
74.33450734375  71.74934912506  0  61.855   !  D   161
2.3831522919175  8.48536296015417  0  5.574785   !  D   162
0.596846811708125  5.18120728317555  0  1.394283   !  D   163
0.596846811708125  4.93368187053758  0  1.3942865   !  D   164
38.8838931843575  35.9643774561712  0  51.72   !  D   165
17.4135443002613  19.0022696455052  0  41.18   !  D   166
37.875283525  48.3129350538737  0  51.72   !  D   167
87.1202088125  69.046046217247  0  118.71   !  D   168
550.7166744375  646.417103072463  0  570.9   !  D   169
175.39036164375  79.1962032186181  0  121.64   !  D   170
397.53945828125  258.696838437001  0  101.72   !  D   171
68.7324401875  48.7153070740633  0  84.35   !  D   172
100.49716028125  105.688541374369  0  89.78   !  D   173
42.4929141125  42.6678739135785  0  62.71   !  D   174
480.28441709375  376.10013989037  0  358.55   !  D   175
4.529804583835  12.0977441816477  0  5.629385   !  D   176
0.596846811708125  4.78700014452989  0  1.354763   !  D   177
414.319772617188  138.622233077654  0  123.26   !  D   178
2.3831522919175  6.32937962898316  0  5.634785   !  D   179
188.323140539063  93.5027945132158  0  131.075   !  D   180
0.596846811708125  4.97951990991498  0  1.354743   !  D   181
81.674828225  77.5288341468788  0  51.74   !  D   182
38.8838931843575  28.4541315057216  0  51.7   !  D   183
0.596846811708125  4.99785512566594  0  1.354743   !  D   184
27.4634029375  26.2820377357451  0  51.7   !  D   185
38.8838931843575  28.5824780159783  0  51.7   !  D   186
49.2449252875  62.4716718144777  0  51.7   !  D   187
8.82502215013062  12.2994315549082  0  5.634785   !  D   188
114.34711175  73.191726524129  0  78.375   !  D   189
46.04335440625  48.8263210949006  0  51.7   !  D   190
8.82502215013062  12.1894202604025  0  5.634785   !  D   191
17.4135443002613  20.4776252169452  0  26.01   !  D   192
3.45647843787625  11.8316727631586  0  5.634785   !  D   193
8.82502215013062  12.2810963391573  0  5.634785   !  D   194
281.584892242187  198.484164911475  0  134.19   !  D   195
200.4030705625  138.048063537746  0  122.79   !  D   196
38.8838931843575  28.4908019372235  0  51.7   !  D   197
38.8838931843575  35.3226449048876  0  51.7   !  D   198
142.6382646875  80.5073664963166  0  84.25   !  D   199
0.596846811708125  4.72282688940153  0  1.354743   !  D   200
0.596846811708125  4.90617904691113  0  1.354743   !  D   201
26.0020664503919  19.5064880786566  0  35.6   !  D   202
0.596846811708125  4.81450296815633  0  1.348143   !  D   203
73.27025734375  54.8156708559965  0  68.7   !  D   204
343.5202158375  241.927921962801  0  217.7088   !  D   205
424.76636121875  402.603677233793  0  219.51   !  D   206
232.5668578125  126.663738110437  0  167.98   !  D   207
45.21560440625  42.5670302269482  0  51.72   !  D   208
1.30982614595875  6.3110444132322  0  5.634785   !  D   209
26.0020664503919  28.5091371529745  0  45.21   !  D   210
26.0020664503919  28.4541315057216  0  35.6   !  D   211
34.5905886005225  26.1353560097374  0  51.72   !  D   212
26.0020664503919  21.1010225524779  0  35.6   !  D   213
114.34711175  94.8653759586672  0  68.39   !  D   214
17.4135443002613  15.7837809144012  0  35.6   !  D   215
59.656805875  105.771049845248  0  76.24   !  D   216
1.30982614595875  6.21936833447739  0  1.353913   !  D   217
47.883580140625  84.553196879928  0  55.47   !  D   218
164.26310046875  79.676106117645  0  78.375   !  D   219
825.62564038125  899.9832808195  0  704.54   !  D   220
70.78406705  70.2844488248182  0  51.72   !  D   221
4.529804583835  12.1527498289006  0  5.633285   !  D   222
141.5740146875  87.7120803113684  0  114.678   !  D   223
77.531286368715  42.7228795608314  0  35.6   !  D   224
87.1202088125  91.4767159263468  0  55.47   !  D   225
0.596846811708125  4.88784383116017  0  1.348143   !  D   226
52.022330140625  55.5939908074363  0  51.72   !  D   227
45.21560440625  43.0620810522242  0  51.72   !  D   228
58.829055875  72.4277521078455  0  68.7   !  D   229
42.4929141125  55.5023147286815  0  51.72   !  D   230
26.0020664503919  20.7893238847115  0  35.6   !  D   231
26.0020664503919  27.9957511119476  0  1.496283   !  D   232
45.21560440625  42.3653428536877  0  35.6   !  D   233
90.2870716796875  48.9381191343258  0  235.736   !  D   234
100.49716028125  67.4328917358062  0  70   !  D   235
70.78406705  91.4308778869694  0  35.6   !  D   236
2.3831522919175  8.05448539000659  0  5.634785   !  D   237
1.30982614595875  6.21936833447739  0  5.634785   !  D   238
1.30982614595875  6.21020072660191  0  5.634785   !  D   239
1.30982614595875  6.12769225572259  0  5.634785   !  D   240
38.8838931843575  35.3134772970121  0  35.6   !  D   241
34.5905886005225  26.2453673042431  0  35.6   !  D   242
0.596846811708125  4.86034100753373  0  1.394283   !  D   243
51.7657199183231  35.8727013774164  0  35.6   !  D   244
38.8838931843575  28.4632991135971  0  35.6   !  D   245
52.022330140625  62.3891633435984  0  51.72   !  D   246
52.022330140625  55.7498401413194  0  51.72   !  D   247
0.596846811708125  4.84200579178277  0  1.393196   !  D   248
0.596846811708125  4.80533536028085  0  1.393196   !  D   249
1.30982614595875  6.16436268722451  0  5.634785   !  D   250
132.498380375  152.147731947982  0  68.7   !  D   251
196.2643205625  149.71861237924  0  68.7   !  D   252
132.498380375  66.5097640812316  0  68.7   !  D   253
2.3831522919175  6.03601617696778  0  1.354743   !  D   254
34.5905886005225  25.823657341971  0  35.6   !  D   255
37.047533525  48.9271647815309  0  35.6   !  D   256
1.30982614595875  6.01768096121682  0  1.354743   !  D   257
114.34711175  87.7892075629977  0  73.1675   !  D   258
37.047533525  48.7254774082703  0  35.6   !  D   259
51.7657199183231  35.3134772970121  0  35.6   !  D   260
80.847078225  83.828955857765  0  44.575   !  D   261
0.596846811708125  4.77783253665441  0  1.3930565   !  D   262
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34.5905886005225  25.7221670246323  0  51.72   !  D   531
13.1183267339656  27.637567078876  0  5.634785   !  D   532
43.3206641125  46.882315489508  0  51.72   !  D   533
4.529804583835  12.0764044344693  0  5.70209   !  D   534
17.4135443002613  20.6421474855529  0  35.6   !  D   535
38.8838931843575  28.6276691397213  0  35.6   !  D   536
72.44250734375  72.6746496648899  0  78.235   !  D   537
209.87777203125  95.0157680925339  0  86.05   !  D   538
141.5740146875  140.717529121664  0  86.051   !  D   539
21.7068488840962  42.9118718999513  0  5.634785   !  D   540
0.949479334250625  5.46520130269015  0  1.3942865   !  D   541
118.9647423375  57.0002156700374  0  52.72   !  D   542
286.551392242188  210.416571832532  0  214.7   !  D   543
164.26310046875  86.3287985974209  0  35.6   !  D   544
38.8838931843575  35.5784627961025  0  99.02   !  D   545
164.26310046875  81.5410418854526  0  35.6   !  D   546
42.4929141125  42.6025973458796  0  5.634785   !  D   547
1.30982614595875  5.92577931767577  0  5.634785   !  D   548
60  54.8636560550147  0  35.6   !  D   549
51.06005215  62.3882348453068  0  51.72   !  D   550
68.9427642185844  46.6464741974213  0  35.81   !  D   551
8.82502215013062  12.0607310725423  0  5.634785   !  D   552
141.5740146875  140.992557471899  0  66.7   !  D   553
84.614800234375  66.1129653790514  0  105.38   !  D   554
198.296729140625  94.37  0  171.01   !  D   555
4645.72427  4599.727  0  4181.57   !  D   556
1.497786873  1.4829573  0  1.348143   !  D   557
6.260246135  6.1982635  0  5.634785   !  D   558
158.28417  156.717  0  142.47   !  D   559
6.260246135  6.1982635  0  5.634785   !  D   560
41.07685440625  48.265994066631  0  48.265994066631   !  D   561
17.4135443002613  13.3258614836225  0  13.3258614836225 ]  !  D   562

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