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 0.0244374 seconds.
    local lower bound updated to 0.32806
    local upper bound updated to 0.646716

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0287687 seconds.
    local lower bound updated to 0.646716
    local upper bound updated to 0.646716
The Primal step takes 0.0550235 (S)
lower bound updated to 0.646716

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.659921
    local lower bound updated to 0.659921
The Dual step takes 0.00723809 (S)
upper bound updated to 0.659921
*** OUTER ITERATION 1 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.114539 seconds.
    local lower bound updated to 0.422585
    local upper bound updated to 0.646716

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0530807 seconds.
    local lower bound updated to 0.646716
    local upper bound updated to 0.646716
The Primal step takes 0.170644 (S)
lower bound updated to 0.646716

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.646716
    local lower bound updated to 0.646716
The Dual step takes 0.0198031 (S)
upper bound updated to 0.646716
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.144174 seconds.
    local lower bound updated to 0.422585
    local upper bound updated to 0.646716

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.0544942 seconds.
    local lower bound updated to 0.646716
    local upper bound updated to 0.646716
The time obtain the optimal randomized assortment is 0.454499 (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_107912.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 352 rows, 324 columns and 1067 nonzeros
Model fingerprint: 0x8dfe2c0c
Variable types: 283 continuous, 41 integer (41 binary)
Coefficient statistics:
  Matrix range     [6e-04, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [4e-01, 1e+00]
Presolve removed 115 rows and 195 columns
Presolve time: 0.00s
Presolved: 237 rows, 129 columns, 843 nonzeros
Variable types: 93 continuous, 36 integer (36 binary)
Found heuristic solution: objective 0.7217294
Found heuristic solution: objective 0.7062562
Found heuristic solution: objective 0.7018157

Root relaxation: objective 5.861021e-01, 38 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    0.58610    0    8    0.70182    0.58610  16.5%     -    0s
H    0     0                       0.6467164    0.58610  9.37%     -    0s
     0     0    0.59449    0   10    0.64672    0.59449  8.08%     -    0s
     0     0    0.61199    0   13    0.64672    0.61199  5.37%     -    0s
     0     0    0.62090    0   13    0.64672    0.62090  3.99%     -    0s
     0     0    0.63582    0   11    0.64672    0.63582  1.69%     -    0s
     0     0    0.64183    0   11    0.64672    0.64183  0.75%     -    0s

Cutting planes:
  Implied bound: 18
  MIR: 10
  Flow cover: 7
  RLT: 4
  Relax-and-lift: 16

Explored 1 nodes (183 simplex iterations) in 0.06 seconds (0.01 work units)
Thread count was 4 (of 48 available processors)

Solution count 4: 0.646716 0.701816 0.706256 0.721729 

Optimal solution found (tolerance 1.00e-04)
Best objective 6.467164448945e-01, best bound 6.467164448945e-01, gap 0.0000%
The objective bound is 0.646716 while the objective upper bound is 0.646716

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

        Job resource usage summary 

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

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