Set parameter TokenServer to value "gurobi.cc.ic.ac.uk"

********************************
*** COLUMN GENERATION SCHEME ***
********************************

*** OUTER ITERATION 0 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.149408 seconds.
    local lower bound updated to 0.381079
    local upper bound updated to 0.642859

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.25634 seconds.
    local lower bound updated to 0.642859
    local upper bound updated to 0.642859
The Primal step takes 0.407907 (S)
lower bound updated to 0.642859

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.642859
    local lower bound updated to 0.642859
The Dual step takes 0.0153032 (S)
upper bound updated to 0.642859
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.156832 seconds.
    local lower bound updated to 0.381079
    local upper bound updated to 0.642859

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.26798 seconds.
    local lower bound updated to 0.642859
    local upper bound updated to 0.642859
The time obtain the optimal randomized assortment is 0.850208 (S)
Now, the randomization optimization has been finished. We are checking the lower bound ....
Set parameter OutputFlag to value 1
Set parameter LogFile to value "/rds/general/user/zw1819/home/RAO/RAO_MC/FinalRun/RecFMResult/logFile_13_4_100.000000_106714.log"
The computation time limit for a lower bound is 85998
The model output flag is 1
Gurobi Optimizer version 9.5.1 build v9.5.1rc2 (linux64)
Thread count: 20 physical cores, 40 logical processors, using up to 4 threads
Optimize a model with 330 rows, 274 columns and 1035 nonzeros
Model fingerprint: 0x13d1714f
Variable types: 225 continuous, 49 integer (49 binary)
Coefficient statistics:
  Matrix range     [2e-03, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [5e-01, 1e+00]
Presolve removed 89 rows and 140 columns
Presolve time: 0.00s
Presolved: 241 rows, 134 columns, 904 nonzeros
Variable types: 94 continuous, 40 integer (40 binary)
Found heuristic solution: objective 0.7079441
Found heuristic solution: objective 0.6972802
Found heuristic solution: objective 0.6901050

Root relaxation: objective 4.793315e-01, 31 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0    0.47933    0   10    0.69011    0.47933  30.5%     -    0s
H    0     0                       0.6573310    0.47933  27.1%     -    0s
     0     0    0.49731    0   12    0.65733    0.49731  24.3%     -    0s
     0     0    0.53775    0   18    0.65733    0.53775  18.2%     -    0s
H    0     0                       0.6450847    0.53775  16.6%     -    0s
     0     0    0.54347    0   19    0.64508    0.54347  15.8%     -    0s
     0     0    0.55891    0   19    0.64508    0.55891  13.4%     -    0s
H    0     0                       0.6428593    0.56048  12.8%     -    0s
     0     0    0.56048    0   20    0.64286    0.56048  12.8%     -    0s
     0     0    0.58001    0   18    0.64286    0.58001  9.78%     -    0s
     0     0    0.58102    0   17    0.64286    0.58102  9.62%     -    0s
     0     0    0.58929    0   14    0.64286    0.58929  8.33%     -    0s
     0     2    0.58929    0   14    0.64286    0.58929  8.33%     -    0s

Cutting planes:
  Implied bound: 24
  MIR: 7
  Flow cover: 24
  Relax-and-lift: 7

Explored 548 nodes (2483 simplex iterations) in 0.26 seconds (0.09 work units)
Thread count was 4 (of 40 available processors)

Solution count 6: 0.642859 0.645085 0.657331 ... 0.707944

Optimal solution found (tolerance 1.00e-04)
Best objective 6.428593071192e-01, best bound 6.428593071192e-01, gap 0.0000%
The objective bound is 0.642859 while the objective upper bound is 0.642859

============================================

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   2.33 (ave)

============================================
