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 0.0909508 seconds.
    local lower bound updated to 0.329359
    local upper bound updated to 0.576811

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0302847 seconds.
    local lower bound updated to 0.576811
    local upper bound updated to 0.576811
The Primal step takes 0.123001 (S)
lower bound updated to 0.576811

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.579765
    local lower bound updated to 0.579039

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.579765
    local lower bound updated to 0.57937

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.57937
    local lower bound updated to 0.57937
The Dual step takes 0.0354495 (S)
upper bound updated to 0.57937
*** OUTER ITERATION 1 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.142464 seconds.
    local lower bound updated to 0.443013
    local upper bound updated to 0.576811

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0384085 seconds.
    local lower bound updated to 0.576811
    local upper bound updated to 0.576811
The Primal step takes 0.183644 (S)
lower bound updated to 0.576811

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.577103
    local lower bound updated to 0.576811

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.576811
    local lower bound updated to 0.576811
The Dual step takes 0.0389412 (S)
upper bound updated to 0.576811
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.1802 seconds.
    local lower bound updated to 0.467785
    local upper bound updated to 0.576811

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0548357 seconds.
    local lower bound updated to 0.576811
    local upper bound updated to 0.576811
The time obtain the optimal randomized assortment is 0.619539 (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_100.000000_101312.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 536 rows, 512 columns and 1631 nonzeros
Model fingerprint: 0xbcaeef7d
Variable types: 471 continuous, 41 integer (41 binary)
Coefficient statistics:
  Matrix range     [1e-03, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [4e-01, 1e+00]
Presolve removed 187 rows and 339 columns
Presolve time: 0.00s
Presolved: 349 rows, 173 columns, 1279 nonzeros
Variable types: 136 continuous, 37 integer (37 binary)
Found heuristic solution: objective 0.7010500

Root relaxation: objective 4.652133e-01, 64 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    0.46521    0    6    0.70105    0.46521  33.6%     -    0s
H    0     0                       0.6565853    0.46521  29.1%     -    0s
H    0     0                       0.6269972    0.46973  25.1%     -    0s
     0     0    0.48964    0   11    0.62700    0.48964  21.9%     -    0s
H    0     0                       0.6247961    0.48964  21.6%     -    0s
H    0     0                       0.5984777    0.48964  18.2%     -    0s
     0     0    0.50865    0    8    0.59848    0.50865  15.0%     -    0s
     0     0    0.51237    0    8    0.59848    0.51237  14.4%     -    0s
H    0     0                       0.5768112    0.54792  5.01%     -    0s
     0     0    0.54792    0   12    0.57681    0.54792  5.01%     -    0s
H    0     0                       0.5768112    0.54792  5.01%     -    0s
     0     0    0.54792    0   12    0.57681    0.54792  5.01%     -    0s

Cutting planes:
  Gomory: 2
  Implied bound: 39
  MIR: 5
  Flow cover: 14
  RLT: 9
  Relax-and-lift: 24

Explored 1 nodes (335 simplex iterations) in 0.06 seconds (0.02 work units)
Thread count was 4 (of 48 available processors)

Solution count 7: 0.576811 0.576811 0.598478 ... 0.70105

Optimal solution found (tolerance 1.00e-04)
Best objective 5.768111780357e-01, best bound 5.768111780357e-01, gap 0.0000%
The objective bound is 0.576811 while the objective upper bound is 0.576811

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

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   2.00 (ave)

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