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] : qap15 NAME NEWLP15 Objective function :NOBJ Column hashing : 1337 Row hashing : 568 Max column search : 102 Max. row search: 27 RHS name : RHS RHS records : 30 Number of rows : 6330 Number of columns : 22275 Free variables : 0 Number of nonzeros : 94950 Largest column length: 30 Column name :X001 Parameter file not found: bpmpd.par Default optimization parameters will be used MPS file is read in 0.17 sec. Space for factors: 10609982 Process: presolv BNDCHK: 0 columns, 225 bnds removed Presolv done... Process: scaling Pass 0. Average def. 1.000000000e+00 Scaling done... Process: aggregator 632 rows dependent 0 row/cols eliminated, 0 fill-in created. 0 nonzeros eliminated Aggregator done... Time for presolv, scaling and aggregator: 0.39 sec. Number of rows : 5698 Number of columns : 22275 Free variables : 225 No. of A nonzeros : 85470 No. of Q nonzeros : 0 Largest column count : 29 Obj. scaled 1.20e+00 Number of dense rows : 0 0.0% Largest sparse col. length : 29 0.5% Problem has no dense columns Ordering: Nested dissection Building ordering list time: 0.26 sec Symbolic factorisation time: 0.58 sec Sub-diagonal nonzeros in aat : 151511 Sub-diagonal nonzeros in L : 6326997 Total symbolic phase time: 0.85 sec NONZEROS : 6412467 OPERATIONS : 5954951350 Supernodes : 187 0 Supernodal cols. : 3625 0 Dense window : 2667 Centrality correction Power: 7 Iterative refinement Power:37 FIRSTFACTOR TIME : 14.17 sec It-PC P.Inf D.Inf U.Inf Actions P.Obj D.Obj Barpar ------------------------------------------------------------------------------ 0-00 5e-02 8e+01 0e+00 0 0 0 2.8749600e+03 1.5840000e+03 0e+00 1-15 4e-11 2e-06 0e+00 0 0 0 1.5098717e+03 -5.7610085e+02 1e-02 2-13 3e-13 3e-06 0e+00 0 0 0 1.2497991e+03 8.1993682e+02 2e-02 3-11 1e-13 6e-06 0e+00 0 0 0 1.1336792e+03 9.5922047e+02 3e-03 4-17 2e-13 6e-06 0e+00 0 0 0 1.0625012e+03 1.0214992e+03 1e-03 5-17 4e-12 3e-06 0e+00 0 0 0 1.0470759e+03 1.0328184e+03 3e-04 6-12 4e-12 1e-06 0e+00 0 0 0 1.0441573e+03 1.0379431e+03 1e-04 7-17 2e-11 4e-07 0e+00 0 0 0 1.0421452e+03 1.0403046e+03 5e-05 8-17 3e-11 1e-07 0e+00 0 0 0 1.0413087e+03 1.0408368e+03 1e-05 9-17 3e-11 1e-08 0e+00 0 0 0 1.0410777e+03 1.0409550e+03 4e-06 10-17 1e-10 4e-09 0e+00 0 0 0 1.0410112e+03 1.0409859e+03 9e-07 11-17 4e-08 2e-09 0e+00 0 0 0 1.0409977e+03 1.0409928e+03 2e-08 12-16 9e-09 3e-10 0e+00 0 0 0 1.0409948e+03 1.0409939e+03 9e-09 13-10 2e-08 8e-11 0e+00 0 0 0 1.0409942e+03 1.0409940e+03 3e-09 14-11 1e-07 5e-13 0e+00 0 0 0 1.0409941e+03 1.0409940e+03 4e-11 Stopping Criteria:Small infeasibility and duality gap (fast convergence) ABSOLUTE infeas. Primal : 1.283e-07 Dual : 5.115907697e-13 PRIMAL : Relative infeas. : 1.283e-07 Objective : 1.040994064e+03 DUAL : Relative infeas. : 9.676e-16 Objective : 1.040994041e+03 Complementarity gap : 2.908e-09 Duality gap : -2.226890367e-08 Solver time 206.42 sec. OPTIMAL SOLUTION. OBJECTIVE = 1.040994064e+03 TOTAL SOLUTION TIME = 206.81 sec.