BPMPD Version 2.21B QP/LP optimizer Written by Cs. Meszaros MTA SZTAKI, Budapest November, 1998 Sizeof BP_REAL: 8 Sizeof BP_INT: 4 Parameter file not found: bpmpd.par Default MPS input parameters will be used MPS file name [*.mps] : nug08-3rd NAME ps Objective function :R19729 Column hashing : 20043 Row hashing : 19728 Max column search : 1 Max. row search: 0 RHS name : B RHS records : 16 Number of rows : 19728 Number of columns : 20448 Free variables : 0 Number of nonzeros : 139008 Largest column length: 16 Column name :C0001 Parameter file not found: bpmpd.par Default optimization parameters will be used MPS file is read in 0.43 sec. Space for factors: 158548877 Process: presolv BNDCHK: 0 columns, 1568 bnds removed Presolv done... Process: scaling Pass 0. Average def. 1.000000000e+00 Scaling done... Process: aggregator 1458 rows dependent 704 row/cols eliminated, 47008 fill-in created. 0 nonzeros eliminated Aggregator done... Time for presolv, scaling and aggregator: 0.92 sec. Number of rows : 17566 Number of columns : 19744 Free variables : 864 No. of A nonzeros : 162161 No. of Q nonzeros : 0 Largest column count : 28 Obj. scaled 3.20e-01 Number of dense rows : 117 0.7% Largest sparse col. length : 28 0.2% Problem has no dense columns Ordering: Nested dissection Building ordering list time: 1.08 sec Symbolic factorisation time: 5.07 sec Sub-diagonal nonzeros in aat : 514514 Sub-diagonal nonzeros in L : 52825385 Total symbolic phase time: 6.17 sec NONZEROS : 52987546 OPERATIONS :134083807114 Supernodes : 1740 0 Supernodal cols. : 12827 0 Dense window : 7726 Centrality correction Power: 8 Iterative refinement Power:44 FIRSTFACTOR TIME : 439.26 sec It-PC P.Inf D.Inf U.Inf Actions P.Obj D.Obj Barpar ------------------------------------------------------------------------------ 0-00 1e-01 4e+01 0e+00 0 0 0 5.5903735e+02 3.0800000e+02 0e+00 1-16 1e-03 1e-01 0e+00 0 0 0 2.9237830e+02 1.4848463e+02 2e-03 2-10 6e-04 7e-02 0e+00 0 0 0 2.7118611e+02 1.8824865e+02 3e-03 3-12 2e-04 3e-02 0e+00 0 0 0 2.4802335e+02 2.0944485e+02 2e-03 4-14 9e-05 1e-02 0e+00 0 0 0 2.2859987e+02 2.1034594e+02 7e-04 5-10 2e-05 7e-04 0e+00 0 0 0 2.1738347e+02 2.1357811e+02 1e-05 6-10 2e-07 7e-07 0e+00 0 0 0 2.1402645e+02 2.1399436e+02 4e-09 7-10 5e-08 2e-08 0e+00 0 0 0 2.1400180e+02 2.1399985e+02 0e+00 8-10 2e-10 3e-11 0e+00 0 0 0 2.1400000e+02 2.1400000e+02 0e+00 Stopping Criteria:Small infeasibility and duality gap (fast convergence) ABSOLUTE infeas. Primal : 2.335e-10 Dual : 3.074740462e-11 PRIMAL : Relative infeas. : 2.240e-10 Objective : 2.140000021e+02 DUAL : Relative infeas. : 1.409e-12 Objective : 2.139999998e+02 Complementarity gap : 3.504e-11 Duality gap : -1.048624604e-08 Solver time 3945.89 sec. OPTIMAL SOLUTION. OBJECTIVE = 2.140000021e+02 TOTAL SOLUTION TIME = 3946.83 sec.