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 0.131495 seconds.
    local lower bound updated to 0.409789
    local upper bound updated to 0.732711

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.24471 seconds.
    local lower bound updated to 0.729866
    local upper bound updated to 0.729866
The Primal step takes 0.378044 (S)
lower bound updated to 0.729866

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.738027
    local lower bound updated to 0.729866

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.729866
    local lower bound updated to 0.729866
The Dual step takes 0.0384686 (S)
upper bound updated to 0.729866
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.527933 seconds.
    local lower bound updated to 0.517699
    local upper bound updated to 0.729866

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.344454 seconds.
    local lower bound updated to 0.729866
    local upper bound updated to 0.729866
The time obtain the optimal randomized assortment is 1.29181 (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_103314.log"
The computation time limit for a lower bound is 85997
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 456 rows, 386 columns and 1440 nonzeros
Model fingerprint: 0x09288d8a
Variable types: 337 continuous, 49 integer (49 binary)
Coefficient statistics:
  Matrix range     [4e-03, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [6e-01, 1e+00]
Presolve removed 127 rows and 211 columns
Presolve time: 0.00s
Presolved: 329 rows, 175 columns, 1233 nonzeros
Variable types: 132 continuous, 43 integer (43 binary)
Found heuristic solution: objective 0.7843968

Root relaxation: objective 6.201780e-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    0.62018    0    6    0.78440    0.62018  20.9%     -    0s
H    0     0                       0.7298664    0.62018  15.0%     -    0s
     0     0    0.65478    0   17    0.72987    0.65478  10.3%     -    0s
     0     0    0.65478    0   17    0.72987    0.65478  10.3%     -    0s
     0     0    0.66284    0   18    0.72987    0.66284  9.18%     -    0s
     0     0    0.67434    0   17    0.72987    0.67434  7.61%     -    0s
     0     0    0.67892    0   17    0.72987    0.67892  6.98%     -    0s
     0     0    0.67970    0   17    0.72987    0.67970  6.87%     -    0s
     0     0    0.68231    0   17    0.72987    0.68231  6.52%     -    0s
     0     0    0.68244    0   17    0.72987    0.68244  6.50%     -    0s
     0     0    0.68367    0   14    0.72987    0.68367  6.33%     -    0s
     0     2    0.68367    0   14    0.72987    0.68367  6.33%     -    0s

Cutting planes:
  Gomory: 1
  Implied bound: 32
  MIR: 13
  Flow cover: 17
  RLT: 5
  Relax-and-lift: 19

Explored 260 nodes (1842 simplex iterations) in 0.34 seconds (0.13 work units)
Thread count was 4 (of 40 available processors)

Solution count 2: 0.729866 0.784397 

Optimal solution found (tolerance 1.00e-04)
Best objective 7.298664030045e-01, best bound 7.298664030045e-01, gap 0.0000%
The objective bound is 0.729866 while the objective upper bound is 0.729866

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

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   4.00 (ave)

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