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 0.0113564 seconds.
    local lower bound updated to 0.32379
    local upper bound updated to 0.625306

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0119308 seconds.
    local lower bound updated to 0.625306
    local upper bound updated to 0.625306
The Primal step takes 0.0248543 (S)
lower bound updated to 0.625306

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.645195
    local lower bound updated to 0.645195
The Dual step takes 0.00711851 (S)
upper bound updated to 0.645195
*** OUTER ITERATION 1 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.0311131 seconds.
    local lower bound updated to 0.415923
    local upper bound updated to 0.626015

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0273888 seconds.
    local lower bound updated to 0.624584
    local upper bound updated to 0.625306

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 0.0165379 seconds.
    local lower bound updated to 0.625306
    local upper bound updated to 0.625306
The Primal step takes 0.0781975 (S)
lower bound updated to 0.625306

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.645806
    local lower bound updated to 0.643893

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.643893
    local lower bound updated to 0.643893
The Dual step takes 0.0260168 (S)
upper bound updated to 0.643893
*** OUTER ITERATION 2 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.0375081 seconds.
    local lower bound updated to 0.470783
    local upper bound updated to 0.630529

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0291064 seconds.
    local lower bound updated to 0.620943
    local upper bound updated to 0.629566

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 0.0361578 seconds.
    local lower bound updated to 0.62527
    local upper bound updated to 0.62877

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 0.0354512 seconds.
    local lower bound updated to 0.628706
    local upper bound updated to 0.628716
The Primal step takes 0.143907 (S)
lower bound updated to 0.628706

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.63666
    local lower bound updated to 0.628716

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.628715
    local lower bound updated to 0.628716
The Dual step takes 0.0526855 (S)
upper bound updated to 0.628715
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.0382996 seconds.
    local lower bound updated to 0.470783
    local upper bound updated to 0.628715

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0402397 seconds.
    local lower bound updated to 0.628716
    local upper bound updated to 0.628715
The time obtain the optimal randomized assortment is 0.414018 (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_11_4_200.000000_207512.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: 24 physical cores, 48 logical processors, using up to 4 threads
Optimize a model with 444 rows, 418 columns and 1333 nonzeros
Model fingerprint: 0x7a0bda69
Variable types: 377 continuous, 41 integer (41 binary)
Coefficient statistics:
  Matrix range     [4e-03, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [5e-01, 1e+00]
Presolve removed 173 rows and 276 columns
Presolve time: 0.00s
Presolved: 271 rows, 142 columns, 981 nonzeros
Variable types: 107 continuous, 35 integer (35 binary)
Found heuristic solution: objective 0.6599412
Found heuristic solution: objective 0.6595599
Found heuristic solution: objective 0.6571234
Found heuristic solution: objective 0.6503594

Root relaxation: objective 5.925028e-01, 29 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    0.59250    0    8    0.65036    0.59250  8.90%     -    0s
H    0     0                       0.6418930    0.59250  7.69%     -    0s
H    0     0                       0.6398786    0.60680  5.17%     -    0s
     0     0    0.60901    0    8    0.63988    0.60901  4.82%     -    0s
H    0     0                       0.6397507    0.60901  4.81%     -    0s
H    0     0                       0.6368768    0.60901  4.38%     -    0s
H    0     0                       0.6321712    0.60901  3.66%     -    0s
H    0     0                       0.6308782    0.62636  0.72%     -    0s
     0     0    0.62636    0   10    0.63088    0.62636  0.72%     -    0s
     0     0    0.62730    0    9    0.63088    0.62730  0.57%     -    0s
H    0     0                       0.6304925    0.62730  0.51%     -    0s
H    0     0                       0.6287158    0.62730  0.23%     -    0s

Cutting planes:
  Gomory: 2
  Implied bound: 40
  MIR: 2
  Flow cover: 15
  Relax-and-lift: 16

Explored 1 nodes (210 simplex iterations) in 0.04 seconds (0.01 work units)
Thread count was 4 (of 48 available processors)

Solution count 10: 0.628716 0.630493 0.630878 ... 0.657123

Optimal solution found (tolerance 1.00e-04)
Best objective 6.287157694177e-01, best bound 6.287157694177e-01, gap 0.0000%
The objective bound is 0.628716 while the objective upper bound is 0.628716

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

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   0.50 (ave)

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