Evaluate variability of a DOcplex model#

We will evaluate variability of the instance glass4 from MIPLIB 2010 using the opti-extensions library.

Reference: Koch, Thorsten, Tobias Achterberg, Erling Andersen, Oliver Bastert, Timo Berthold, Robert E. Bixby, Emilie Danna et al. “MIPLIB 2010: Mixed integer programming library version 5.” Mathematical Programming Computation 3 (2011): 103-163.

Fetch the instance#

from pathlib import Path
from urllib.request import urlopen

Path('instances').mkdir(exist_ok=True)
name = 'glass4.mps.gz'

response = urlopen(f'https://miplib.zib.de/WebData/instances/{name}')

response_OK = True
if response.getcode() == 200:
    with open(f'instances/{name}', 'wb') as fp:
        fp.write(response.read())
else:
    response_OK = False
    print(f'Could not fetch the instance {name} from MIPLIB 2010')

Run the runseeds procedure#

from docplex.mp.model_reader import ModelReader

from opti_extensions.docplex import runseeds

if response_OK:
    model = ModelReader.read('instances/glass4.mps.gz')
    model.parameters.timelimit = 4
    runseeds(model, count=3, log_output=True)
=== Starting variability optimization #1 ===

Tried aggregator 1 time.
MIP Presolve eliminated 4 rows and 5 columns.
MIP Presolve modified 88 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.81 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Tried aggregator 1 time.
Detecting symmetries...
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.08 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Clique table members: 192.
MIP emphasis: balance optimality and feasibility.
MIP search method: dynamic search.
Parallel mode: deterministic, using up to 2 threads.
Root relaxation solution time = 0.00 sec. (0.48 ticks)

        Nodes                                         Cuts/
   Node  Left     Objective  IInf  Best Integer    Best Bound    ItCnt     Gap

*     0+    0                       3.69170e+09   8.00002e+08            78.33%
      0     0   8.00002e+08    72   3.69170e+09   8.00002e+08       36   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 72      130   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 96      218   78.33%
*     0+    0                       3.66670e+09   8.00002e+08            78.18%
*     0+    0                       2.90003e+09   8.00002e+08            72.41%
      0     2   8.00002e+08    72   2.90003e+09   8.00002e+08      218   72.41%
Elapsed time = 0.02 sec. (36.16 ticks, tree = 0.02 MB, solutions = 3)
*    90+   65                       2.55002e+09   8.00003e+08            68.63%
*   140+   99                       2.53336e+09   8.00003e+08            68.42%
*   250+  209                       2.50002e+09   8.00003e+08            68.00%
*   518+  302                       2.42002e+09   8.00003e+08            66.94%
*   518+  302                       2.40002e+09   8.00003e+08            66.67%
*   518+  296                       2.38891e+09   8.00003e+08            66.51%
*   518+  296                       2.36669e+09   8.00003e+08            66.20%
*   518+  296                       2.30002e+09   8.00003e+08            65.22%
*   518+  416                       2.28464e+09   8.00003e+08            64.98%
*   518+  296                       2.28160e+09   8.00003e+08            64.94%
*   518+  416                       2.26669e+09   8.00003e+08            64.71%
*   518+  416                       2.22225e+09   8.00003e+08            64.00%
*   518+  416                       2.21669e+09   8.00003e+08            63.91%
*   518+  296                       2.19169e+09   8.00003e+08            63.50%
*   518+  416                       2.15002e+09   8.00003e+08            62.79%
*   518+  296                       2.15002e+09   8.00003e+08            62.79%
*  1046+  752                       2.04056e+09   8.00003e+08            60.79%
   1046   754   1.30001e+09    44   2.04056e+09   8.00003e+08     4808   60.79%
*  1451+ 1185                       2.00002e+09   8.00003e+08            60.00%

Performing restart 1

Repeating presolve.
Tried aggregator 1 time.
MIP Presolve modified 606 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.87 ticks)
Tried aggregator 1 time.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.13 ticks)
Represolve time = 0.00 sec. (3.71 ticks)
*  1452+    0                       2.00002e+09   8.00003e+08            60.00%
   1452     0   8.00003e+08   132   2.00002e+09     Cuts: 198     7907   60.00%
   1452     0   8.00003e+08   154   2.00002e+09     Cuts: 198     7995   60.00%
   1452     0   8.00003e+08   128   2.00002e+09     Cuts: 198     8080   60.00%
   1452     0   8.00004e+08   148   2.00002e+09     Cuts: 198     8189   60.00%
   1452     0   8.00004e+08   128   2.00002e+09     Cuts: 198     8301   60.00%
   1452     0   8.00004e+08   116   2.00002e+09     Cuts: 198     8393   60.00%
   1452     0   8.00004e+08   109   2.00002e+09     Cuts: 198     8452   60.00%
   1452     0   8.00005e+08   110   2.00002e+09     Cuts: 198     8558   60.00%
   1452     0   8.00005e+08   135   2.00002e+09     Cuts: 198     8619   60.00%
   1452     0   8.00005e+08   149   2.00002e+09     Cuts: 134     8669   60.00%
   1452     0   8.00005e+08   120   2.00002e+09     Cuts: 198     8790   60.00%
   1452     0   8.00005e+08   119   2.00002e+09     Cuts: 192     8914   60.00%
   1452     0   8.00005e+08    91   2.00002e+09     Cuts: 135     9014   60.00%
   1452     0   8.00005e+08   113   2.00002e+09     Cuts: 198     9127   60.00%
   1452     0   8.00005e+08    97   2.00002e+09     Cuts: 198     9205   60.00%
   1452     0   8.00005e+08   103   2.00002e+09     Cuts: 198     9283   60.00%
   1452     0   8.00005e+08    98   2.00002e+09     Cuts: 191     9417   60.00%
*  1452+    0                       1.95002e+09   8.00005e+08            58.97%
*  1452+    0                       1.80001e+09   8.00005e+08            55.56%
   1452     0  -1.00000e+75     0   1.80001e+09   8.00005e+08     9417   55.56%
   1452     2   8.00005e+08    90   1.80001e+09   8.00005e+08     9417   55.56%
   1752   179   1.40001e+09    45   1.80001e+09   8.00005e+08    10812   55.56%
   2299   669   1.20001e+09    26   1.80001e+09   8.00005e+08    15543   55.56%
   2572   919   8.00005e+08    66   1.80001e+09   8.00005e+08    18095   55.56%
   3295  1409   1.50001e+09    22   1.80001e+09   8.00005e+08    23057   55.56%
   3729  1753   1.60001e+09    53   1.80001e+09   8.01137e+08    27231   55.49%
   4949  2888   1.70001e+09    50   1.80001e+09   8.18755e+08    39291   54.51%
   5962  3802   9.00006e+08    79   1.80001e+09   8.33339e+08    50054   53.70%
   9991  7179   1.70001e+09    29   1.80001e+09   9.00005e+08    90451   50.00%
Elapsed time = 2.69 sec. (3813.13 ticks, tree = 2.71 MB, solutions = 28)
  13912 10413   9.00005e+08    97   1.80001e+09   9.00005e+08   127785   50.00%
Starting limited solution polishing.
* 16435+12580                       1.80001e+09   9.00005e+08            50.00%
* 16504+12789                       1.75001e+09   9.00005e+08            48.57%
* 16652+12151                       1.75001e+09   9.00005e+08            48.57%
* 17127+12273                       1.70001e+09   9.00005e+08            47.06%
* 17152+12273                       1.70001e+09   9.00005e+08            47.06%
* 17152+12246                       1.65001e+09   9.00005e+08            45.45%
  17152 12447   1.30001e+09    60   1.65001e+09   9.00005e+08   169966   45.45%
* 17210+12234                       1.63335e+09   9.00005e+08            44.90%
* 17213+12234                       1.63335e+09   9.00005e+08            44.90%
* 17232+12234                       1.61178e+09   9.00005e+08            44.16%
* 17232+12234                       1.60001e+09   9.00005e+08            43.75%

Cover cuts applied:  2
Implied bound cuts applied:  87
Flow cuts applied:  27
Mixed integer rounding cuts applied:  244
Gomory fractional cuts applied:  39

Root node processing (before b&c):
  Real time             =    0.02 sec. (36.04 ticks)
Parallel b&c, 2 threads:
  Real time             =    3.98 sec. (5822.31 ticks)
  Sync time (average)   =    0.10 sec.
  Wait time (average)   =    0.00 sec.
                          ------------
Total (root+branch&cut) =    4.00 sec. (5858.35 ticks)

=== Starting variability optimization #2 ===

Tried aggregator 1 time.
MIP Presolve eliminated 4 rows and 5 columns.
MIP Presolve modified 88 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.81 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Tried aggregator 1 time.
Detecting symmetries...
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.08 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Clique table members: 192.
MIP emphasis: balance optimality and feasibility.
MIP search method: dynamic search.
Parallel mode: deterministic, using up to 2 threads.
Root relaxation solution time = 0.00 sec. (0.48 ticks)

        Nodes                                         Cuts/
   Node  Left     Objective  IInf  Best Integer    Best Bound    ItCnt     Gap

*     0+    0                       3.69170e+09   8.00002e+08            78.33%
      0     0   8.00002e+08    72   3.69170e+09   8.00002e+08       36   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 72      130   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 97      222   78.33%
      0     2   8.00002e+08    72   3.69170e+09   8.00002e+08      222   78.33%
Elapsed time = 0.02 sec. (33.19 ticks, tree = 0.02 MB, solutions = 1)
*    10+    1                       3.32503e+09   8.00002e+08            75.94%
*    22+    1                       3.32501e+09   8.00002e+08            75.94%
*   108+   82                       2.53336e+09   8.00002e+08            68.42%
*   160+  121                       2.45336e+09   8.00003e+08            67.39%
*   190+  173                       2.40002e+09   8.00003e+08            66.67%
*   260+  213                       2.33002e+09   8.00003e+08            65.67%
*   336+  234                       2.10002e+09   8.00003e+08            61.91%
*   540+  436                       2.10002e+09   8.00003e+08            61.90%
*   540+  436                       2.10002e+09   8.00003e+08            61.90%
    873   737   1.65002e+09    36   2.10002e+09   8.00003e+08     4219   61.90%
*   942+  863                       2.07502e+09   8.00003e+08            61.45%
*  1002+  856                       2.00835e+09   8.00003e+08            60.17%
*  1132+  856                       2.00002e+09   8.00003e+08            60.00%
*  1142+  856                       1.96002e+09   8.00003e+08            59.18%

Performing restart 1

Repeating presolve.
Tried aggregator 1 time.
MIP Presolve modified 606 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.87 ticks)
Tried aggregator 1 time.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.13 ticks)
Represolve time = 0.00 sec. (3.72 ticks)
   1153     0   8.00003e+08   106   1.96002e+09     Cuts: 164     6603   59.18%
   1153     0   8.00003e+08   102   1.96002e+09     Cuts: 198     6678   59.18%
   1153     0   8.00004e+08    94   1.96002e+09     Cuts: 198     6778   59.18%
   1153     0   8.00004e+08   118   1.96002e+09     Cuts: 198     6867   59.18%
   1153     0   8.00004e+08   122   1.96002e+09     Cuts: 198     6929   59.18%
   1153     0   8.00004e+08   134   1.96002e+09     Cuts: 198     6986   59.18%
   1153     0   8.00004e+08   117   1.96002e+09     Cuts: 198     7050   59.18%
   1153     0   8.00004e+08   120   1.96002e+09     Cuts: 198     7102   59.18%
   1153     0   8.00004e+08   106   1.96002e+09     Cuts: 198     7173   59.18%
   1153     0   8.00005e+08   127   1.96002e+09     Cuts: 188     7217   59.18%
   1153     0   8.00005e+08   127   1.96002e+09     Cuts: 177     7284   59.18%
   1153     0   8.00005e+08   107   1.96002e+09      Cuts: 84     7331   59.18%
   1153     0   8.00005e+08   111   1.96002e+09     Cuts: 198     7383   59.18%
   1153     0   8.00005e+08   114   1.96002e+09     Cuts: 170     7443   59.18%
   1153     0   8.00005e+08   112   1.96002e+09     Cuts: 153     7499   59.18%
   1153     2   8.00005e+08   102   1.96002e+09   8.00005e+08     7499   59.18%
*  1345+   89                       1.93335e+09   8.00005e+08            58.62%
   1358   147   1.60001e+09    23   1.93335e+09   8.00005e+08     9118   58.62%
*  1508+  222                       1.90002e+09   8.00005e+08            57.89%
*  1553+  316                       1.86668e+09   8.00005e+08            57.14%
*  1597+  316                       1.86668e+09   8.00005e+08            57.14%
*  1753+  390                       1.83335e+09   8.00005e+08            56.36%
*  1753+  384                       1.81668e+09   8.00005e+08            55.96%
*  1753+  384                       1.81113e+09   8.00005e+08            55.83%
*  1753+  384                       1.80002e+09   8.00005e+08            55.56%
   1753   405   1.10001e+09    55   1.80002e+09   8.00005e+08    10819   55.56%
*  2053+  542                       1.76668e+09   8.00005e+08            54.72%
*  2053+  542                       1.72502e+09   8.00005e+08            53.62%
*  2078+  582                       1.70002e+09   8.00005e+08            52.94%
*  2253+  633                       1.64002e+09   8.00005e+08            51.22%
*  2253+  633                       1.60001e+09   8.00005e+08            50.00%
   2253   633   1.60001e+09     0   1.60001e+09   8.00005e+08    13399   50.00%
   2653  1006   1.00320e+09    60   1.60001e+09   8.00005e+08    18037   50.00%
   3344  1527   8.00005e+08    67   1.60001e+09   8.00005e+08    24704   50.00%
   4101  2228   1.10001e+09    46   1.60001e+09   8.00005e+08    37181   50.00%
   4960  2885   1.10001e+09    41   1.60001e+09   8.00005e+08    49543   50.00%
   7786  5038   8.00005e+08    89   1.60001e+09   8.00005e+08   100843   50.00%
Elapsed time = 2.82 sec. (3881.24 ticks, tree = 2.07 MB, solutions = 34)
  10551  6997   1.10001e+09    66   1.60001e+09   8.00005e+08   145457   50.00%
* 11935+ 8255                       1.60001e+09   8.00005e+08            50.00%

Clique cuts applied:  8
Cover cuts applied:  3
Implied bound cuts applied:  92
Flow cuts applied:  18
Mixed integer rounding cuts applied:  195
Gomory fractional cuts applied:  20

Root node processing (before b&c):
  Real time             =    0.02 sec. (33.07 ticks)
Parallel b&c, 2 threads:
  Real time             =    3.98 sec. (5625.85 ticks)
  Sync time (average)   =    0.12 sec.
  Wait time (average)   =    0.00 sec.
                          ------------
Total (root+branch&cut) =    4.00 sec. (5658.92 ticks)

=== Starting variability optimization #3 ===

Tried aggregator 1 time.
MIP Presolve eliminated 4 rows and 5 columns.
MIP Presolve modified 88 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.81 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Tried aggregator 1 time.
Detecting symmetries...
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.08 ticks)
Probing time = 0.00 sec. (0.59 ticks)
Clique table members: 192.
MIP emphasis: balance optimality and feasibility.
MIP search method: dynamic search.
Parallel mode: deterministic, using up to 2 threads.
Root relaxation solution time = 0.00 sec. (0.48 ticks)

        Nodes                                         Cuts/
   Node  Left     Objective  IInf  Best Integer    Best Bound    ItCnt     Gap

*     0+    0                       3.69170e+09   8.00002e+08            78.33%
      0     0   8.00002e+08    72   3.69170e+09   8.00002e+08       36   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 72      130   78.33%
      0     0   8.00002e+08    72   3.69170e+09      Cuts: 88      216   78.33%
      0     2   8.00002e+08    72   3.69170e+09   8.00002e+08      216   78.33%
Elapsed time = 0.02 sec. (31.38 ticks, tree = 0.02 MB, solutions = 1)
*    10+   10                       3.17503e+09   8.00002e+08            74.80%
*   396+  310                       3.06670e+09   8.00002e+08            73.91%
*   601+  501                       3.05002e+09   8.00002e+08            73.77%
*   601+  463                       2.97503e+09   8.00002e+08            73.11%
*   601+  463                       2.90003e+09   8.00002e+08            72.41%
*   601+  463                       2.80003e+09   8.00002e+08            71.43%
*   601+  463                       2.80003e+09   8.00002e+08            71.43%
*   601+  463                       2.75003e+09   8.00002e+08            70.91%
*   601+  463                       2.65003e+09   8.00002e+08            69.81%
*   601+  463                       2.60002e+09   8.00002e+08            69.23%
*   601+  463                       2.60002e+09   8.00002e+08            69.23%
*   688+  514                       2.60002e+09   8.00002e+08            69.23%
*   727+  584                       2.50002e+09   8.00003e+08            68.00%
*   886+  643                       2.50002e+09   8.00003e+08            68.00%
*   910+  705                       2.48336e+09   8.00003e+08            67.79%
*   911+  705                       2.36669e+09   8.00003e+08            66.20%
*   911+  705                       2.30002e+09   8.00003e+08            65.22%
*   911+  705                       2.30002e+09   8.00003e+08            65.22%
    911   707   8.00005e+08    75   2.30002e+09   8.00003e+08     4635   65.22%
*   912+  708                       2.26669e+09   8.00003e+08            64.71%
*   912+  708                       2.25002e+09   8.00003e+08            64.44%
*   912+  708                       2.21252e+09   8.00003e+08            63.84%
*   912+  708                       2.20002e+09   8.00003e+08            63.64%
*   912+  708                       2.13335e+09   8.00003e+08            62.50%
*   992+  786                       2.12002e+09   8.00003e+08            62.26%
*  1093+  876                       2.05002e+09   8.00003e+08            60.98%

Performing restart 1

Repeating presolve.
Tried aggregator 1 time.
MIP Presolve modified 606 coefficients.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (0.87 ticks)
Tried aggregator 1 time.
Reduced MIP has 392 rows, 317 columns, and 1799 nonzeros.
Reduced MIP has 298 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.00 sec. (1.13 ticks)
Represolve time = 0.00 sec. (3.78 ticks)
*  1094+    0                       2.05002e+09   8.00003e+08            60.98%
   1094     0   8.00003e+08   123   2.05002e+09     Cuts: 198     6254   60.98%
   1094     0   8.00003e+08   139   2.05002e+09     Cuts: 198     6326   60.98%
   1094     0   8.00004e+08   112   2.05002e+09     Cuts: 198     6411   60.98%
   1094     0   8.00004e+08   146   2.05002e+09     Cuts: 198     6480   60.98%
   1094     0   8.00004e+08   128   2.05002e+09     Cuts: 189     6566   60.98%
   1094     0   8.00004e+08   130   2.05002e+09     Cuts: 198     6628   60.98%
   1094     0   8.00004e+08   126   2.05002e+09     Cuts: 198     6677   60.98%
   1094     0   8.00004e+08   128   2.05002e+09     Cuts: 174     6735   60.98%
   1094     0   8.00005e+08   133   2.05002e+09     Cuts: 132     6785   60.98%
   1094     0   8.00005e+08   131   2.05002e+09     Cuts: 144     6850   60.98%
   1094     0   8.00005e+08   120   2.05002e+09     Cuts: 194     6916   60.98%
   1094     0   8.00005e+08   116   2.05002e+09     Cuts: 198     6990   60.98%
   1094     0   8.00005e+08   111   2.05002e+09     Cuts: 136     7056   60.98%
   1094     0   8.00005e+08    97   2.05002e+09     Cuts: 144     7122   60.98%
   1094     0   8.00005e+08   105   2.05002e+09     Cuts: 198     7177   60.98%
   1094     0   8.00005e+08   102   2.05002e+09      Cuts: 85     7221   60.98%
*  1094+    0                       1.86668e+09   8.00005e+08            57.14%
   1094     2   8.00005e+08    91   1.86668e+09   8.00005e+08     7221   57.14%
   1294   100   8.00005e+08    80   1.86668e+09   8.00005e+08     7978   57.14%
*  1594+  338                       1.82002e+09   8.00005e+08            56.04%
*  1594+  338                       1.81668e+09   8.00005e+08            55.96%
   1784   460   8.00005e+08    81   1.81668e+09   8.00005e+08     9916   55.96%
*  1794+  524                       1.80668e+09   8.00005e+08            55.72%
   2196   816   1.50001e+09    26   1.80668e+09   8.00005e+08    11792   55.72%
*  2794+ 1273                       1.80478e+09   8.00005e+08            55.67%
   2794  1274   1.80002e+09    22   1.80478e+09   8.00005e+08    14865   55.67%
*  3124+ 1621                       1.80002e+09   8.00005e+08            55.56%
   3798  2102   1.75001e+09    22   1.80002e+09   8.00005e+08    19486   55.56%
*  4835+ 3025                       1.80002e+09   8.00005e+08            55.56%
   5119  3331   1.30001e+09    74   1.80002e+09   8.00005e+08    27308   55.56%
*  6098  3838      integral     0   1.80001e+09   8.00005e+08    30985   55.56%
   6396  4400   1.70001e+09    52   1.80001e+09   8.00005e+08    34582   55.56%
*  7871  5504      integral     0   1.78668e+09   8.00005e+08    43798   55.22%
*  7875  5136      integral     0   1.77002e+09   8.00005e+08    43805   54.80%
*  8098+ 5184                       1.75002e+09   8.00005e+08            54.29%
*  8098+ 5179                       1.70001e+09   8.00005e+08            52.94%
*  9132+ 6029                       1.60002e+09   8.00005e+08            50.00%
*  9136  4791      integral     0   1.60002e+09   8.00005e+08    55948   50.00%
Elapsed time = 2.61 sec. (3556.16 ticks, tree = 1.80 MB, solutions = 50)
  11730  6853        cutoff         1.60002e+09   8.00006e+08    95884   50.00%
  14422  9121   1.50001e+09    48   1.60002e+09   8.00006e+08   137833   50.00%

GUB cover cuts applied:  1
Clique cuts applied:  5
Implied bound cuts applied:  82
Flow cuts applied:  20
Mixed integer rounding cuts applied:  177
Gomory fractional cuts applied:  24

Root node processing (before b&c):
  Real time             =    0.02 sec. (31.30 ticks)
Parallel b&c, 2 threads:
  Real time             =    3.98 sec. (5648.30 ticks)
  Sync time (average)   =    0.09 sec.
  Wait time (average)   =    0.00 sec.
                          ------------
Total (root+branch&cut) =    4.00 sec. (5679.60 ticks)

====== runseeds statistics of 3 runs


    exit  sol    objective     gap  iteration      node   runtime   dettime
run code stat        value     (%)      count     count   seconds     ticks
  1    0  107  1.60001e+09   43.75     176012     17352      4.00   5858.36
  2    0  107  1.60001e+09   50.00     185100     12654      4.00   5658.94
  3    0  107  1.60002e+09   50.00     145754     14759      4.00   5679.62

Exit codes:
      0 : No error

Optimization status codes:
                 objective     gap  iteration      node   runtime   dettime
                     value     (%)      count     count   seconds     ticks
    107 : time limit exceeded (3 times)
     average:  1.60001e+09   47.92     168955     14922      4.00   5732.31
     minimum:  1.60001e+09   43.75     145754     12654      4.00   5658.94
     maximum:  1.60002e+09   50.00     185100     17352      4.00   5858.36
     std dev:      1033.38    3.61      20600      2353      0.00    109.66

Total running time of the script: (0 minutes 12.587 seconds)

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