Welcome to IBM(R) ILOG(R) CPLEX(R) Interactive Optimizer 12.8.0.0 with Simplex, Mixed Integer & Barrier Optimizers 5725-A06 5725-A29 5724-Y48 5724-Y49 5724-Y54 5724-Y55 5655-Y21 Copyright IBM Corp. 1988, 2017. All Rights Reserved. Type 'help' for a list of available commands. Type 'help' followed by a command name for more information on commands. CPLEX> New value for integrality tolerance: 1e-07 CPLEX> New value for type of scaling used: 1 CPLEX> New value for extreme numerical caution emphasis: yes CPLEX> New value for feasibility tolerance: 1e-08 CPLEX> New value for default parallel thread count: 1 CPLEX> New value for strategy to gather statistics on the kappa of subproblems: 2 CPLEX> Problem 'cplex3019.lp' read. Read time = 0.01 sec. (0.07 ticks) CPLEX> CPXPARAM_Simplex_Tolerances_Feasibility 1e-08 CPXPARAM_Read_Scale 1 CPXPARAM_Threads 1 CPXPARAM_Emphasis_Numerical 1 CPXPARAM_MIP_Tolerances_Integrality 9.9999999999999995e-08 CPXPARAM_MIP_Strategy_KappaStats 2 Tried aggregator 2 times. MIQCP Presolve eliminated 107 rows and 96 columns. MIQCP Presolve modified 19 coefficients. Aggregator did 84 substitutions. Reduced MIQCP has 162 rows, 159 columns, and 681 nonzeros. Reduced MIQCP has 51 binaries, 0 generals, 0 SOSs, and 0 indicators. Reduced MIQCP has 2 quadratic constraints. Presolve time = 0.01 sec. (0.83 ticks) Probing fixed 0 vars, tightened 114 bounds. Probing time = 0.00 sec. (0.62 ticks) Clique table members: 48. MIP emphasis: balance optimality and feasibility. MIP search method: dynamic search. Parallel mode: none, using 1 thread. Root relaxation solution time = 0.00 sec. (0.38 ticks) Nodes Cuts/ Node Left Objective IInf Best Integer Best Bound ItCnt Gap 0 0 11503.4889 0 111703.4587 9 0 0 8767.4091 2 Cone: 2 12 0 0 3917.6526 3 Cone: 4 17 0 0 486.8289 2 Cone: 5 35 0 0 -886.9163 1 Cone: 6 39 0 0 -1732.2841 0 Cone: 7 52 0 0 -1784.0750 0 Cone: 8 62 0 0 -2079.6643 2 Cone: 24 94 0 0 -2086.9152 2 Cone: 25 109 0 0 -2086.9152 2 -2086.9152 109 * 0+ 0 -2116.3478 -2086.9152 1.39% 0 2 -2086.9152 2 -2116.3478 -2086.9152 109 1.39% Elapsed time = 0.09 sec. (86.93 ticks, tree = 0.01 MB, solutions = 1) * 8 4 integral 0 -2094.0605 -2093.8797 117 0.01% Cone linearizations applied: 16 Root node processing (before b&c): Real time = 0.09 sec. (86.94 ticks) Sequential b&c: Real time = 0.06 sec. (98.29 ticks) ------------ Total (root+branch&cut) = 0.15 sec. (185.23 ticks) Solution pool: 3 solutions saved. MIP - Integer optimal, tolerance (0.0001/1e-06): Objective = -2.0940605074e+03 Current MIP best bound = -2.0938797446e+03 (gap = 0.180763, 0.01%) Solution time = 0.15 sec. Iterations = 117 Nodes = 9 (4) Deterministic time = 185.23 ticks (1265.96 ticks/sec) CPLEX> Incumbent solution: MIQCP objective -2.0940605099e+03 MIQCP solution norm |x| (Total, Max) 7.89090e+00 1.00000e+00 MIQCP solution error (Ax=b) (Total, Max) 1.09274e-16 3.34900e-17 MIQCP solution error (x'Qx+dx=f) (Total, Max) 6.18160e-19 6.18160e-19 MIQCP x bound error (Total, Max) 2.36219e-09 3.78157e-10 MIQCP x integrality error (Total, Max) 1.28471e-10 7.86297e-11 MIQCP slack bound error (Total, Max) 2.46971e-09 9.57525e-10 MIQCP quad. slack bound error (Total, Max) 0.00000e+00 0.00000e+00 Branch-and-cut subproblem optimization: Max condition number: 4.4273e+08 Percentage (number) of stable bases: 85.71% (54) Percentage (number) of suspicious bases: 14.29% (9) Percentage (number) of unstable bases: 0.00% (0) Percentage (number) of ill-posed bases: 0.00% (0) Attention level: 0.001429 CPLEX encountered numerical difficulties while solving this model. CPLEX> Problem name : cplex3019.lp Objective sense : Maximize Variables : 218 [Nneg: 11, Fix: 19, Box: 125, Free: 11, Binary: 6, Semi-continuous: 46, Qobj: 23] Objective nonzeros : 39 Objective Q nonzeros : 529 Linear constraints : 195 [Less: 6, Greater: 6, Equal: 183] Nonzeros : 426 RHS nonzeros : 46 Quadratic constraints: 1 [Less: 1] Linear terms : 23 Quadratic terms : 276 RHS nonzeros : 1 PWL : 11 [Breaks: 11] Variables : Min LB: -0.2254000 Max UB: 1.000000 Objective nonzeros : Min : 69.11887 Max : 20643.05 Objective Q nonzeros : Min : 299.3679 Max : 327681.3 Linear constraints : Nonzeros : Min : 0.0002247625 Max : 1.001600 RHS nonzeros : Min : 3.330669e-16 Max : 0.2254000 Quadratic constraints: Linear terms : Min : 0.0001043195 Max : 0.002712325 Quadratic terms : Min : 9.978931e-05 Max : 0.1092271 RHS nonzeros : Min : 0.0007158078 Max : 0.0007158078 CPLEX> Incumbent solution written to file 'solution_on.txt'. CPLEX>