Barrier Convergence Tolerance not met

Dear Support Team, 

I wish to solve large-scale optimization models. As I do not need an exact solution, I do not need Gurobi to solve it with default tolerances but getting a solution with a 1% optimality gap is sufficient. 

To achieve this, I solved my models with the Barrier algorithm without Crossover and set the BarConvTol Parameter to 1e-2 to yield the desired optimality gap. I am working with Gurobi 11.0.3.

Looking at the log file of some of the models I am surprised as the final gap between dual and primal objective is far above 1e-2. It seems to be 1e-1, which is obviously an entire magnitude higher of what I would have expected when setting the BarConvTol parameter to 1e-2. 

Now I am wondering if the BarConvTol only applies if I activate Crossover and if so, if there is any other parameter to solve the Barrier algorithm to a desired optimality gap? Or am I missing another relevant parameter during the solve?

Thanks,

Lene

Gurobi 11.0.3 (win64) logging started Sat Apr 26 13:19:51 2025

Set parameter Method to value 2
Set parameter Crossover to value 0
Set parameter Threads to value 16
Set parameter BarConvTol to value 0.01
Gurobi Optimizer version 11.0.3 build v11.0.3rc0 (win64 - Windows Server 2022.0 (20348.2))

CPU model: AMD EPYC 9354 32-Core Processor, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 32 physical cores, 64 logical processors, using up to 16 threads

Optimize a model with 34870073 rows, 28249856 columns and 85191583 nonzeros
Model fingerprint: 0x4e3fd885
Coefficient statistics:
  Matrix range     [1e+00, 2e+03]
  Objective range  [2e-05, 8e+02]
  Bounds range     [2e-04, 1e+06]
  RHS range        [3e-03, 1e+05]
Presolve removed 0 rows and 0 columns (presolve time = 5s) ...
Presolve removed 15538765 rows and 2651605 columns (presolve time = 17s) ...
Presolve removed 15538765 rows and 2651605 columns (presolve time = 21s) ...
Presolve removed 15538765 rows and 2651605 columns (presolve time = 25s) ...
Presolve removed 15538765 rows and 2651605 columns (presolve time = 30s) ...
Presolve removed 15538765 rows and 5097685 columns (presolve time = 37s) ...
Presolve removed 15538765 rows and 5097685 columns (presolve time = 42s) ...
Presolve removed 15541080 rows and 5100000 columns (presolve time = 49s) ...
Presolve removed 15871080 rows and 5430000 columns (presolve time = 50s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 61s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 65s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 71s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 77s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 82s) ...
Presolve removed 16193657 rows and 5738471 columns (presolve time = 85s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 93s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 97s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 100s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 108s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 110s) ...
Presolve removed 16193956 rows and 5738471 columns (presolve time = 119s) ...
Presolve removed 16193956 rows and 5738471 columns
Presolve time: 121.60s
Presolved: 18676117 rows, 22511385 columns, 67966959 nonzeros
Elapsed ordering time = 13s
Elapsed ordering time = 15s
Elapsed ordering time = 20s
Elapsed ordering time = 79s
Elapsed ordering time = 81s
Elapsed ordering time = 85s
Elapsed ordering time = 90s
Elapsed ordering time = 95s
Elapsed ordering time = 100s
Ordering time: 156.02s

Barrier statistics:
 Dense cols : 2728
 AA' NZ     : 5.242e+07
 Factor NZ  : 8.164e+08 (roughly 23.0 GB of memory)
 Factor Ops : 1.320e+12 (roughly 9 seconds per iteration)
 Threads    : 16

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   7.51842792e+12 -1.22835972e+14  9.76e+04 5.68e-14  6.00e+06   335s
   1   7.14406152e+12 -5.07354589e+13  8.37e+04 1.89e+02  2.92e+06   351s
   2   6.94418890e+12 -1.82384103e+13  7.78e+04 5.37e+01  1.94e+06   369s
   3   4.94037504e+12 -1.87310411e+12  3.36e+04 1.70e+02  7.17e+05   391s
   4   1.14071281e+12 -8.64164109e+11  7.00e+03 8.59e+02  1.58e+05   409s
   5   1.75089098e+11 -4.78022984e+11  1.04e+03 7.65e+02  2.90e+04   424s
   6   2.45508466e+10 -1.49866636e+11  1.33e+02 1.72e+03  4.89e+03   442s
   7   6.93340745e+09 -3.28069926e+10  3.20e+01 2.09e+02  1.01e+03   464s
   8   3.57326244e+09 -9.65679566e+09  1.61e+01 4.72e+01  3.46e+02   485s
   9   1.99243039e+09 -3.99830712e+09  9.14e+00 1.59e+01  1.57e+02   502s
  10   1.32718202e+09 -1.67196305e+09  6.24e+00 5.05e+00  7.97e+01   519s
  11   9.56912095e+08 -9.03094611e+08  4.66e+00 2.19e+00  4.90e+01   540s
  12   6.78564775e+08 -4.93320975e+08  3.43e+00 9.58e-01  3.05e+01   565s
  13   5.18598409e+08 -2.68136301e+08  2.68e+00 4.12e-01  2.03e+01   588s
  14   3.51559607e+08 -1.46303355e+08  1.81e+00 1.68e-01  1.26e+01   608s
  15   2.43936748e+08 -6.53875708e+07  1.28e+00 5.34e-02  7.72e+00   628s
  16   3.16620502e+07 -2.62046596e+07  2.32e-01 5.11e-02  1.31e+00   653s
  17   2.51556134e+06 -9.37561708e+06  1.59e-02 1.38e-02  2.48e-01   673s
  18   1.02217789e+06 -5.07970881e+06  5.56e-03 7.08e-03  1.26e-01   689s
  19   4.83636818e+05 -2.73320692e+06  2.09e-03 3.67e-03  6.59e-02   706s
  20   2.06110602e+05 -1.21182057e+06  4.55e-04 1.54e-03  2.90e-02   726s
  21   1.29559747e+05 -5.10813207e+05  1.94e-04 6.03e-04  1.31e-02   750s
  22   9.71519154e+04 -2.76707587e+05  1.09e-04 3.25e-04  7.63e-03   770s
  23   8.16688729e+04 -1.77275337e+05  7.76e-05 2.17e-04  5.28e-03   786s
  24   7.27391277e+04 -1.16475399e+05  6.25e-05 1.51e-04  3.86e-03   803s
  25   6.23518461e+04 -7.20702574e+04  4.66e-05 1.03e-04  2.74e-03   823s
  26   4.27755613e+04 -5.64836643e+04  1.88e-05 8.44e-05  2.03e-03   847s
  27   3.80659481e+04 -2.23889885e+04  1.33e-05 4.76e-05  1.23e-03   876s
  28   3.38354529e+04 -5.31737561e+03  9.20e-06 2.94e-05  7.99e-04   909s
  29   3.14324648e+04 -7.00055455e+02  7.20e-06 2.46e-05  6.56e-04   938s
  30   2.91926148e+04  2.22203628e+03  5.55e-06 2.14e-05  5.50e-04   961s
  31   2.87751831e+04  4.75180514e+03  5.27e-06 1.84e-05  4.90e-04   982s
  32   2.66267328e+04  6.32619045e+03  3.85e-06 1.67e-05  4.14e-04  1015s
  33   2.63209908e+04  7.48713120e+03  3.66e-06 1.53e-05  3.84e-04  1049s
  34   2.60514847e+04  8.45778828e+03  3.50e-06 1.41e-05  3.59e-04  1070s
  35   2.59131242e+04  8.96786829e+03  3.41e-06 1.35e-05  3.46e-04  1096s
  36   2.57290273e+04  9.34198070e+03  3.30e-06 1.30e-05  3.34e-04  1121s
  37   2.55941103e+04  1.03770707e+04  3.22e-06 1.18e-05  3.11e-04  1151s
  38   2.53849459e+04  1.08618042e+04  3.10e-06 1.12e-05  2.96e-04  1176s
  39   2.48177763e+04  1.17610033e+04  2.77e-06 1.02e-05  2.66e-04  1211s
  40   2.47443273e+04  1.20563713e+04  2.73e-06 9.81e-06  2.59e-04  1236s
  41   2.45790705e+04  1.25092285e+04  2.64e-06 9.26e-06  2.46e-04  1269s
  42   2.44165396e+04  1.27623103e+04  2.55e-06 8.94e-06  2.38e-04  1295s
  43   2.38642907e+04  1.35737164e+04  2.25e-06 7.95e-06  2.10e-04  1329s
  44   2.36928957e+04  1.40554525e+04  2.16e-06 7.33e-06  1.97e-04  1363s
  45   2.36056941e+04  1.42374086e+04  2.11e-06 7.09e-06  1.91e-04  1383s
  46   2.32375897e+04  1.45471303e+04  1.92e-06 6.68e-06  1.77e-04  1417s
  47   2.27551844e+04  1.49925045e+04  1.66e-06 6.10e-06  1.58e-04  1451s
  48   2.24386479e+04  1.52204700e+04  1.50e-06 5.79e-06  1.47e-04  1485s
  49   2.23249640e+04  1.54484296e+04  1.44e-06 5.49e-06  1.40e-04  1519s
  50   2.22681137e+04  1.56974068e+04  1.41e-06 5.16e-06  1.34e-04  1554s
  51   2.21412919e+04  1.60072078e+04  1.35e-06 4.74e-06  1.25e-04  1588s
  52   2.20380577e+04  1.61037733e+04  1.30e-06 4.60e-06  1.21e-04  1613s
  53   2.19027260e+04  1.63437687e+04  1.23e-06 4.26e-06  1.13e-04  1647s
  54   2.18147925e+04  1.65829974e+04  1.19e-06 3.93e-06  1.07e-04  1682s
  55   2.16372667e+04  1.67357177e+04  1.11e-06 3.71e-06  1.00e-04  1715s
  56   2.15481897e+04  1.68963807e+04  1.06e-06 3.49e-06  9.49e-05  1749s
  57   2.14862170e+04  1.69860498e+04  1.04e-06 3.35e-06  9.18e-05  1774s
  58   2.13898458e+04  1.71080994e+04  9.91e-07 3.18e-06  8.74e-05  1808s
  59   2.12277816e+04  1.72206725e+04  9.16e-07 3.01e-06  8.18e-05  1842s
  60   2.10686623e+04  1.73475513e+04  8.41e-07 2.82e-06  7.59e-05  1877s
  61   2.09675040e+04  1.74964839e+04  7.95e-07 2.61e-06  7.08e-05  1910s
  62   2.08705248e+04  1.75933710e+04  7.51e-07 2.46e-06  6.69e-05  1944s
  63   2.08204684e+04  1.76808145e+04  7.28e-07 2.33e-06  6.41e-05  1977s
  64   2.08184072e+04  1.77054180e+04  7.27e-07 2.29e-06  6.35e-05  1998s
  65   2.07828226e+04  1.77500347e+04  7.11e-07 2.22e-06  6.19e-05  2037s
  66   2.07564943e+04  1.77614334e+04  7.00e-07 4.37e-13  6.11e-05  2058s
  67   2.06711222e+04  1.78416413e+04  6.61e-07 3.97e-13  5.77e-05  2091s
  68   2.06138005e+04  1.78726811e+04  6.36e-07 4.86e-13  5.59e-05  2125s
  69   2.05543677e+04  1.79499767e+04  6.10e-07 4.40e-13  5.31e-05  2154s
  70   2.05200704e+04  1.80056229e+04  5.94e-07 5.97e-13  5.13e-05  2180s
  71   2.04345293e+04  1.80481274e+04  5.56e-07 5.77e-13  4.87e-05  2214s
  72   2.03555592e+04  1.80895101e+04  5.21e-07 6.54e-13  4.62e-05  2244s
  73   2.03102049e+04  1.81504423e+04  5.01e-07 5.93e-13  4.41e-05  2269s
  74   2.02682375e+04  1.81941736e+04  4.83e-07 5.94e-13  4.23e-05  2294s
  75   2.02152730e+04  1.82682034e+04  4.60e-07 6.66e-13  3.97e-05  2328s

Barrier solved model in 75 iterations and 2328.32 seconds (1691.94 work units)
Optimal objective 2.02152730e+04