Gurobi 12.0.1 yields suboptimal results for a previously optimal model
I recently upgraded to Gurobi 12.0.1 from 11.0.2. After the upgrade, previously optimal solutions became suboptimal. I am using exactly the same model and the same gurobi settings. This behavior can be reproduced across models. Note that the primal and dual objectives jump quite drastically in time step 250 (see logs below).
Do you have an idea what the reason might be?
Please find the (partial) logs below:
Suboptimal solution (Gurobi 12.0.1):
Reading time = 138.24 seconds
obj: 65973773 rows, 67323640 columns, 167793518 nonzeros
Set parameter Method to value 2
Set parameter NodeMethod to value 2
Set parameter BarHomogeneous to value 1
Set parameter DualReductions to value 0
Set parameter Threads to value 128
Set parameter Crossover to value 0
Set parameter ScaleFlag to value 2
Set parameter BarOrder to value 0
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")
CPU model: AMD EPYC 7742 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 128 physical cores, 128 logical processors, using up to 128 threads
Non-default parameters:
Method 2
ScaleFlag 2
BarHomogeneous 1
BarOrder 0
Crossover 0
NodeMethod 2
DualReductions 0
Threads 128
Optimize a model with 65973773 rows, 67323640 columns and 167793518 nonzeros
Model fingerprint: 0xeb7c31e0
Coefficient statistics:
Matrix range [2e-05, 6e+03]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [1e-03, 1e+04]
Presolve removed 0 rows and 0 columns (presolve time = 7s)...
Presolve removed 30206719 rows and 29417900 columns (presolve time = 11s)...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 16s)...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 20s)...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 25s)...
Presolve removed 34577928 rows and 33543799 columns (presolve time = 31s)...
Presolve removed 34584129 rows and 33550000 columns (presolve time = 39s)...
Presolve removed 38634129 rows and 37600000 columns (presolve time = 40s)...
Presolve removed 45114129 rows and 44080000 columns (presolve time = 45s)...
Presolve removed 52044129 rows and 51010000 columns (presolve time = 50s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 61s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 70s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 76s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 82s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 86s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 94s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 95s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 100s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 105s)...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 112s)...
Presolve removed 53139821 rows and 52105692 columns
Presolve time: 115.47s
Presolved: 12833952 rows, 15217948 columns, 47200527 nonzeros
Elapsed ordering time = 19s
Elapsed ordering time = 20s
Ordering time: 25.11s
Barrier statistics:
Dense cols : 1238
AA' NZ : 4.052e+07
Factor NZ : 6.534e+08 (roughly 17.0 GB of memory)
Factor Ops : 6.894e+11 (roughly 3 seconds per iteration)
Threads : 128
Objective Residual
Iter Primal Dual Primal Dual Compl Time
0 1.43129141e+09 -7.64151052e+09 7.82e+07 1.37e+01 6.37e+04 179s
1 1.29230719e+09 -8.34415963e+09 6.99e+07 5.04e+02 3.79e+04 192s
2 1.18220578e+09 -8.16663493e+09 6.23e+07 1.53e+02 2.03e+04 207s
3 9.54968682e+08 -7.90782084e+09 4.50e+07 8.08e+01 1.22e+04 226s
4 2.85621933e+08 -2.10409138e+09 9.31e+06 2.56e+02 9.55e+02 245s
5 2.12095782e+08 -1.29380574e+09 6.07e+06 1.80e+02 4.66e+02 258s
6 1.34165588e+08 -9.12258821e+08 3.22e+06 1.35e+02 2.27e+02 272s
7 1.01948715e+08 -6.58338486e+08 2.37e+06 3.25e+02 1.45e+02 292s
8 6.97202009e+07 -4.70943334e+08 1.50e+06 7.59e+02 8.54e+01 316s
9 4.74932841e+07 -2.60909234e+08 9.70e+05 2.05e+03 4.33e+01 343s
10 3.47725850e+07 -1.58705207e+08 7.03e+05 2.04e+03 2.49e+01 376s
11 2.53207929e+07 -1.19383997e+08 5.07e+05 2.53e+03 1.67e+01 409s
12 2.03924486e+07 -9.00930865e+07 4.04e+05 2.61e+03 1.20e+01 441s
13 1.61617217e+07 -6.55150893e+07 3.18e+05 2.63e+03 8.31e+00 473s
14 1.34374819e+07 -4.78669781e+07 2.64e+05 1.93e+03 5.91e+00 503s
15 1.11220191e+07 -3.53792694e+07 2.19e+05 1.42e+03 4.25e+00 536s
16 8.60554953e+06 -2.42962793e+07 1.69e+05 9.81e+02 2.78e+00 571s
17 6.36837607e+06 -1.83343144e+07 1.23e+05 7.44e+02 1.93e+00 598s
18 4.66217934e+06 -1.26212656e+07 8.86e+04 5.17e+02 1.24e+00 632s
19 3.58939734e+06 -8.57817576e+06 6.63e+04 3.57e+02 8.17e-01 668s
20 3.00930668e+06 -6.03357364e+06 5.37e+04 2.57e+02 5.77e-01 699s
21 2.80707933e+06 -5.05748960e+06 4.93e+04 2.19e+02 4.90e-01 731s
22 2.38823023e+06 -4.09802126e+06 4.04e+04 1.81e+02 3.90e-01 764s
23 2.16003922e+06 -3.37271250e+06 3.54e+04 1.53e+02 3.24e-01 803s
24 1.96199004e+06 -2.83512443e+06 3.11e+04 1.32e+02 2.75e-01 834s
25 1.77325457e+06 -2.38196500e+06 2.70e+04 1.14e+02 2.33e-01 860s
26 1.61418733e+06 -1.98147358e+06 2.36e+04 9.83e+01 1.98e-01 890s
27 1.48358676e+06 -1.57696896e+06 2.08e+04 8.23e+01 1.65e-01 922s
28 1.36162582e+06 -1.29869843e+06 1.83e+04 7.12e+01 1.41e-01 948s
29 1.27617283e+06 -1.09431852e+06 1.64e+04 6.32e+01 1.24e-01 978s
30 1.15349293e+06 -9.56680788e+05 1.39e+04 5.77e+01 1.09e-01 1011s
31 1.07931210e+06 -7.91219303e+05 1.24e+04 5.11e+01 9.56e-02 1043s
32 1.00025987e+06 -5.80681812e+05 1.07e+04 4.27e+01 7.95e-02 1076s
33 9.55220914e+05 -4.89661742e+05 9.85e+03 3.89e+01 7.21e-02 1110s
34 9.16780526e+05 -3.88581430e+05 9.10e+03 3.48e+01 6.45e-02 1137s
... (removed lines for conciseness)
237 3.47511710e+05 3.44193737e+05 2.51e+01 1.25e-02 2.05e-04 7182s
238 3.47464999e+05 3.44184926e+05 2.48e+01 1.24e-02 2.03e-04 7209s
239 3.47414523e+05 3.44171865e+05 2.45e+01 1.23e-02 2.02e-04 7236s
240 3.47373259e+05 3.44156217e+05 2.43e+01 1.21e-02 2.00e-04 7261s
241 3.47268504e+05 3.44137156e+05 2.37e+01 1.19e-02 1.96e-04 7294s
242 3.47199049e+05 3.44117065e+05 2.33e+01 1.17e-02 1.94e-04 7328s
243 3.47143185e+05 3.44103702e+05 2.30e+01 1.15e-02 1.92e-04 7349s
244 3.47076366e+05 3.44094318e+05 2.26e+01 1.14e-02 1.90e-04 7379s
245 3.47009707e+05 3.44068483e+05 2.23e+01 1.12e-02 1.87e-04 7416s
246 3.46961282e+05 3.44049471e+05 2.20e+01 1.10e-02 1.86e-04 7446s
247 3.46930648e+05 3.44030392e+05 2.18e+01 1.08e-02 1.84e-04 7475s
248 3.46902967e+05 3.44019057e+05 2.17e+01 1.07e-02 1.83e-04 7501s
249 3.46880610e+05 3.44007672e+05 2.16e+01 1.06e-02 1.82e-04 7526s
250 2.10933784e+10 -7.64120836e+09 1.29e+09 1.38e+01 1.04e+06 7567s
251 3.99819450e+09 -4.34206713e+08 2.62e+08 1.79e+01 6.94e+03 7601s
252 2.23106471e+09 -3.26705447e+08 1.54e+08 2.81e+00 1.63e+03 7635s
253 4.51294614e+08 -1.72649232e+08 3.71e+07 4.33e-01 2.07e+02 7671s
254 9.81056446e+07 -1.29415608e+08 1.17e+07 2.55e-01 5.86e+01 7692s
255 4.33303099e+07 -5.43831758e+07 5.91e+06 9.18e-02 1.77e+01 7717s
256 2.15267970e+07 -2.93092121e+07 3.10e+06 4.75e-02 6.99e+00 7739s
257 1.75947545e+07 -2.13884119e+07 2.60e+06 3.44e-02 4.98e+00 7756s
258 1.18769456e+07 -1.56556135e+07 1.78e+06 2.53e-02 3.04e+00 7774s
259 9.33640251e+06 -1.20127001e+07 1.43e+06 1.94e-02 2.18e+00 7790s
260 6.34611256e+06 -9.79596942e+06 9.94e+05 1.57e-02 1.49e+00 7806s
261 5.07804562e+06 -7.95427089e+06 7.86e+05 1.28e-02 1.11e+00 7823s
262 4.38638018e+06 -6.34534852e+06 6.71e+05 1.03e-02 8.73e-01 7838s
263 3.88489690e+06 -5.69136176e+06 5.87e+05 9.32e-03 7.50e-01 7855s
264 3.46653049e+06 -4.50652662e+06 5.17e+05 7.46e-03 6.04e-01 7872s
265 3.09465379e+06 -3.84015709e+06 4.56e+05 6.40e-03 5.08e-01 7889s
266 2.70758818e+06 -3.01351974e+06 3.91e+05 5.10e-03 4.03e-01 7907s
267 2.40255064e+06 -2.39908052e+06 3.41e+05 4.13e-03 3.27e-01 7926s
268 2.15060442e+06 -2.04324695e+06 2.99e+05 3.58e-03 2.76e-01 7944s
269 1.97530660e+06 -1.71598226e+06 2.70e+05 3.07e-03 2.37e-01 7959s
270 1.87214751e+06 -1.47631096e+06 2.54e+05 2.71e-03 2.11e-01 7975s
271 1.60096929e+06 -1.33792190e+06 2.11e+05 2.50e-03 1.79e-01 7992s
272 1.48648788e+06 -1.18841363e+06 1.92e+05 2.28e-03 1.59e-01 8009s
273 1.39782469e+06 -1.10845075e+06 1.77e+05 2.16e-03 1.47e-01 8025s
274 1.31648739e+06 -1.00129252e+06 1.63e+05 2.00e-03 1.34e-01 8040s
275 1.25218706e+06 -9.43943303e+05 1.53e+05 1.91e-03 1.25e-01 8060s
276 1.18553025e+06 -7.91149720e+05 1.41e+05 1.69e-03 1.10e-01 8076s
277 1.08599468e+06 -6.19205023e+05 1.24e+05 1.44e-03 9.29e-02 8093s
278 1.03890069e+06 -5.61821299e+05 1.16e+05 1.35e-03 8.62e-02 8113s
279 9.85052309e+05 -4.80889232e+05 1.07e+05 1.24e-03 7.77e-02 8129s
280 9.43218897e+05 -4.61365258e+05 9.95e+04 1.21e-03 7.37e-02 8144s
281 8.90817300e+05 -4.24155725e+05 9.04e+04 1.16e-03 6.79e-02 8160s
282 8.64555422e+05 -3.92277652e+05 8.58e+04 1.11e-03 6.44e-02 8177s
283 8.35703102e+05 -3.68212570e+05 8.08e+04 1.07e-03 6.12e-02 8193s
284 8.08591798e+05 -3.22638722e+05 7.60e+04 1.01e-03 5.69e-02 8209s
285 7.89555277e+05 -3.06620269e+05 7.27e+04 9.85e-04 5.48e-02 8227s
286 7.62278919e+05 -2.73720448e+05 6.78e+04 9.38e-04 5.13e-02 8246s
... (removed lines for conciseness)
437 3.71795969e+05 3.29489818e+05 2.94e+03 3.70e-05 1.80e-03 10777s
438 3.71485976e+05 3.29750742e+05 2.90e+03 3.64e-05 1.78e-03 10796s
439 3.71366693e+05 3.29836336e+05 2.89e+03 3.63e-05 1.77e-03 10813s
440 3.71042526e+05 3.30158573e+05 2.85e+03 3.56e-05 1.75e-03 10829s
441 3.70806347e+05 3.30255742e+05 2.82e+03 3.54e-05 1.73e-03 10845s
442 3.70678235e+05 3.30403891e+05 2.81e+03 3.50e-05 1.72e-03 10862s
443 3.70408477e+05 3.30600297e+05 2.78e+03 3.46e-05 1.70e-03 10879s
444 3.70063374e+05 3.30819639e+05 2.74e+03 3.41e-05 1.68e-03 10895s
445 3.69853277e+05 3.31020016e+05 2.71e+03 3.37e-05 1.66e-03 10913s
446 3.69513559e+05 3.31071318e+05 2.67e+03 3.36e-05 1.65e-03 10929s
447 3.69384156e+05 3.31338809e+05 2.66e+03 3.30e-05 1.63e-03 10945s
448 3.69127028e+05 3.31541542e+05 2.63e+03 3.26e-05 1.61e-03 10961s
449 3.68875641e+05 3.31766831e+05 2.60e+03 3.21e-05 1.59e-03 10978s
450 3.68387194e+05 3.31940036e+05 2.54e+03 3.17e-05 1.56e-03 10994s
451 3.68121198e+05 3.32154080e+05 2.51e+03 3.12e-05 1.54e-03 11010s
Barrier performed 451 iterations in 11009.68 seconds (6421.86 work units)
Sub-optimal termination - objective 3.46880610e+05
Optimal solution (Gurobi 11.0.2):
Reading time = 197.90 seconds
obj: 65973773 rows, 67323640 columns, 167793518 nonzeros
Set parameter Method to value 2
Set parameter NodeMethod to value 2
Set parameter BarHomogeneous to value 1
Set parameter DualReductions to value 0
Set parameter Threads to value 128
Set parameter Crossover to value 0
Set parameter ScaleFlag to value 2
Set parameter BarOrder to value 0
Gurobi Optimizer version 11.0.2 build v11.0.2rc0 (linux64 - "Ubuntu 22.04.5 LTS")
CPU model: AMD EPYC 7742 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 128 physical cores, 128 logical processors, using up to 128 threads
Optimize a model with 65973773 rows, 67323640 columns and 167793518 nonzeros
Model fingerprint: 0xeb7c31e0
Coefficient statistics:
Matrix range [2e-05, 6e+03]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [1e-03, 1e+04]
Presolve removed 0 rows and 0 columns (presolve time = 9s) ...
Presolve removed 30206719 rows and 14436480 columns (presolve time = 13s) ...
Presolve removed 30996131 rows and 29558060 columns (presolve time = 15s) ...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 22s) ...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 27s) ...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 32s) ...
Presolve removed 34577900 rows and 33543799 columns (presolve time = 35s) ...
Presolve removed 34577928 rows and 33543799 columns (presolve time = 42s) ...
Presolve removed 34584129 rows and 33550000 columns (presolve time = 55s) ...
Presolve removed 35574129 rows and 34540000 columns (presolve time = 55s) ...
Presolve removed 43244129 rows and 42210000 columns (presolve time = 60s) ...
Presolve removed 50384129 rows and 49350000 columns (presolve time = 65s) ...
Presolve removed 52385808 rows and 51351679 columns (presolve time = 76s) ...
Presolve removed 52394129 rows and 51360000 columns (presolve time = 81s) ...
Presolve removed 53131061 rows and 52096932 columns (presolve time = 87s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 91s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 95s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 101s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 111s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 117s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 127s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 132s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 136s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 140s) ...
Presolve removed 53139821 rows and 52105692 columns (presolve time = 149s) ...
Presolve removed 53139821 rows and 52105692 columns
Presolve time: 153.48s
Presolved: 12833952 rows, 15217948 columns, 47200527 nonzeros
Elapsed ordering time = 22s
Elapsed ordering time = 25s
Ordering time: 29.90s
Barrier statistics:
Dense cols : 1238
AA' NZ : 4.052e+07
Factor NZ : 6.534e+08 (roughly 17.0 GB of memory)
Factor Ops : 6.894e+11 (roughly 3 seconds per iteration)
Threads : 128
Objective Residual
Iter Primal Dual Primal Dual Compl Time
0 4.54506489e+10 -9.94440593e+09 5.17e+08 5.30e+00 7.40e+05 224s
1 4.30806153e+10 -2.29473006e+10 4.87e+08 1.55e+02 4.42e+05 238s
2 3.62972721e+10 -3.57376676e+10 3.99e+08 9.38e+01 1.97e+05 254s
3 2.68410446e+10 -4.21878484e+10 2.56e+08 4.22e+03 9.34e+04 274s
4 2.05945908e+09 -5.04265456e+09 2.80e+07 1.21e+03 1.83e+03 294s
5 5.94085769e+08 -1.97011590e+09 1.11e+07 2.60e+02 4.62e+02 311s
6 6.49471120e+07 -6.73059117e+08 3.15e+06 1.40e+02 8.75e+01 327s
7 1.87385067e+07 -1.56115546e+08 1.00e+06 4.94e+01 1.54e+01 349s
8 1.05093271e+07 -9.10237369e+07 6.06e+05 9.04e+01 7.88e+00 365s
9 4.94679840e+06 -6.68624596e+07 2.74e+05 7.37e+01 4.54e+00 386s
10 3.64930859e+06 -4.10880542e+07 1.70e+05 8.63e+01 2.65e+00 409s
11 2.90501514e+06 -2.77322935e+07 1.17e+05 4.90e+01 1.75e+00 428s
12 2.64794721e+06 -2.22148309e+07 9.65e+04 3.97e+01 1.41e+00 444s
13 2.34352510e+06 -1.64959716e+07 7.65e+04 3.21e+01 1.06e+00 460s
14 1.92906606e+06 -1.29549654e+07 4.89e+04 2.61e+01 7.99e-01 479s
15 1.71666089e+06 -9.71886095e+06 3.53e+04 2.28e+01 6.04e-01 502s
16 1.51980701e+06 -6.38465323e+06 2.52e+04 1.57e+01 4.14e-01 530s
17 1.26955826e+06 -4.42366234e+06 1.54e+04 1.15e+01 2.86e-01 563s
18 1.13507121e+06 -3.33349434e+06 1.15e+04 9.07e+00 2.20e-01 599s
19 1.01244533e+06 -2.39144799e+06 8.51e+03 6.92e+00 1.63e-01 632s
20 9.11258828e+05 -1.50716075e+06 6.53e+03 4.88e+00 1.14e-01 665s
21 8.39562174e+05 -1.31179027e+06 5.18e+03 4.40e+00 9.92e-02 693s
22 7.79141147e+05 -7.09360750e+05 4.27e+03 2.93e+00 6.76e-02 724s
23 7.38996738e+05 -5.10321268e+05 3.77e+03 2.42e+00 5.61e-02 752s
24 6.78115751e+05 -3.85774439e+05 3.02e+03 2.11e+00 4.71e-02 786s
25 6.40505038e+05 -2.95256098e+05 2.59e+03 1.87e+00 4.11e-02 822s
26 6.14430616e+05 -2.60815795e+05 2.29e+03 1.79e+00 3.82e-02 854s
27 5.95413240e+05 -1.84075936e+05 2.06e+03 1.59e+00 3.38e-02 886s
28 5.75425558e+05 -1.37850003e+05 1.85e+03 1.46e+00 3.08e-02 917s
29 5.59126443e+05 -7.45689495e+04 1.68e+03 1.29e+00 2.72e-02 950s
30 5.41541296e+05 -3.64593497e+04 1.50e+03 1.19e+00 2.47e-02 984s
31 5.28079115e+05 4.35508533e+04 1.37e+03 9.62e-01 2.06e-02 1016s
32 5.02095352e+05 7.45048372e+04 1.13e+03 8.75e-01 1.81e-02 1051s
33 4.95050520e+05 1.06085854e+05 1.07e+03 7.82e-01 1.64e-02 1077s
34 4.88094495e+05 1.28645811e+05 1.01e+03 7.14e-01 1.51e-02 1098s
35 4.70230926e+05 1.49111450e+05 8.59e+02 6.53e-01 1.35e-02 1130s
36 4.66454294e+05 1.52873638e+05 8.28e+02 6.42e-01 1.31e-02 1152s
37 4.60628314e+05 1.63030206e+05 7.81e+02 6.11e-01 1.25e-02 1183s
38 4.53188124e+05 1.84272531e+05 7.20e+02 5.46e-01 1.12e-02 1215s
... (removed lines for conciseness)
244 3.42538368e+05 3.42538302e+05 1.76e-04 1.11e-07 2.70e-09 8043s
245 3.42538364e+05 3.42538303e+05 1.55e-04 1.02e-07 2.49e-09 8078s
246 3.42538362e+05 3.42538303e+05 1.49e-04 9.49e-08 2.38e-09 8110s
247 3.42538350e+05 3.42538306e+05 7.14e-05 9.78e-08 1.78e-09 8145s
248 3.42538343e+05 3.42538308e+05 4.58e-05 1.36e-07 1.42e-09 8173s
249 3.42538337e+05 3.42538309e+05 3.60e-05 1.32e-07 1.16e-09 8205s
250 3.42538335e+05 3.42538309e+05 3.33e-05 1.30e-07 1.06e-09 8237s
251 3.42538332e+05 3.42538310e+05 2.32e-05 1.32e-07 9.16e-10 8268s
252 3.42538329e+05 3.42538310e+05 1.97e-05 1.27e-07 8.01e-10 8303s
253 3.42538327e+05 3.42538310e+05 1.73e-05 1.09e-07 7.10e-10 8340s
254 3.42538325e+05 3.42538310e+05 1.54e-05 8.89e-08 5.93e-10 8378s
255 3.42538325e+05 3.42538310e+05 1.54e-05 8.80e-08 5.91e-10 8414s
256 3.42538324e+05 3.42538311e+05 1.52e-05 8.65e-08 5.83e-10 8454s
257 3.42538323e+05 3.42538311e+05 1.33e-05 8.39e-08 5.39e-10 8489s
258 3.42538323e+05 3.42538311e+05 1.25e-05 8.04e-08 5.12e-10 8524s
259 3.42538322e+05 3.42538311e+05 1.08e-05 7.65e-08 4.72e-10 8561s
260 3.42538322e+05 3.42538311e+05 1.08e-05 7.65e-08 4.72e-10 8597s
261 3.42538322e+05 3.42538311e+05 1.07e-05 7.60e-08 4.70e-10 8639s
262 3.42538322e+05 3.42538311e+05 9.46e-06 8.75e-08 4.55e-10 8675s
263 3.42538321e+05 3.42538311e+05 7.47e-06 9.09e-08 4.31e-10 8711s
264 3.42538320e+05 3.42538311e+05 3.83e-06 8.01e-08 3.80e-10 8754s
265 3.42538319e+05 3.42538311e+05 5.58e-06 6.37e-08 3.33e-10 8799s
266 3.42538319e+05 3.42538311e+05 5.04e-06 6.57e-08 3.14e-10 8831s
267 3.42538319e+05 3.42538311e+05 4.99e-06 6.19e-08 3.05e-10 8863s
Barrier solved model in 267 iterations and 8862.66 seconds (5334.17 work units)
Optimal objective 3.42538319e+05
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